Distribution of Rank Amongst All Curves in the database

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Description

Each line gives the proportion of curves of rank r up to a given conductor, amongst all curves in the ecdb.

The top line is rank 1. The second from the top line, which is red, is rank 0. The third line from the top, which is dark blue, is rank 2. The fourth line at the bottom, which is bright blue, is rank 3 or greater.

ConductorRank 0Rank 1Rank 2Rank > 2
1000000.3983892699770.5056703293330.09490350761190.00103689307735
2000000.386108395280.5038751028140.1078986710530.00211783085287
3000000.3800402713230.5018109020220.1152526909290.0028961357254
4000000.3757306201730.5007017575630.1200452520440.00352237022013
5000000.3728086120390.4997213757440.1234172106970.00405280151893
6000000.3704816246290.4990284443120.1259751135820.00451481747702
7000000.36827674140.4985512460410.1282042526590.00496775990005
8000000.3668238230260.4977046072640.1301486737730.00532289593716
9000000.3656539169880.4970479792070.1316733209070.00562478289774
10000000.3645292845770.4963620240890.1331734379860.0059352533479
11000000.3634505245770.4958734299830.1344340896940.00624195574526
12000000.3625159513130.4954297215330.1355586696370.00649565751728
13000000.3617008179070.4951295352030.1364299505640.00673969632604
14000000.3608419931750.4950078518620.1372234011980.00692675376378
15000000.3599954524250.494936342350.1379432975630.00712490766238
16000000.3592987167170.4946928942410.1386732439190.00733514512285
17000000.3586188698690.494537018580.1392992441320.00754486741931
18000000.3580549998730.4943666596030.139850324250.00772801627377
19000000.3575654363850.4942257172630.1403323912070.00787645514602
20000000.3570149765520.4941081763140.1408529776640.00802386946981
21000000.3564661755430.493947545680.1414058722180.00818040655998
22000000.3560155082440.4937794810070.1418602272320.00834478351676
23000000.3555901248880.4936146890140.1423095313690.00848565472927
24000000.3551857968420.4934666740780.1427051173550.00864241172413
25000000.3547990751880.4933505325690.1430799140650.0087704781782
26000000.3544992240060.4932013016250.143410615680.00888885868914
27000000.3541613270970.4930153510260.1438249830260.0089983388518
28000000.3537993562680.4929495937660.1441269816320.00912406833396
29000000.3534104762930.4929136092710.1444434257670.00923248866813
30000000.3531191254660.4927600679910.1447803768370.00934042970691
31000000.3528776756360.49260786120.1450726433420.00944181982102
32000000.3526238283420.4924198476140.1454150201090.0095413039352
33000000.3523526065750.4922764376780.1457380562290.0096328995181
34000000.3521192049670.492131128460.1460327304490.00971693612327
35000000.3519118145940.4920048506960.1462759290480.00980740566172
36000000.3516725195070.4918762656860.1465481478270.00990306697902
37000000.3514877626290.4917395671780.1467801669930.00999250319994
38000000.3512190700150.4916839308740.147016739650.0100802594611
39000000.3510041414950.4915670870970.1472557595690.0101730118394
40000000.3508037130130.4914798182840.1474595694090.0102568992945
41000000.3505971827260.4913628397590.147707740890.0103322366246
42000000.3504426192490.4912665361360.1478687659170.0104220786988
43000000.3502799578270.4911654189040.1480583434010.0104962798685
44000000.35010288090.4910386946280.1482875194880.0105709049846
45000000.3499203454930.490928629070.1485066008220.0106444246144
46000000.3497784172230.4908094531430.1486967327340.0107153969011
47000000.3496344783840.4907089961780.1488789713860.0107775540518
48000000.3494672116150.490616359260.1490723250880.0108441040375
49000000.3493438543110.4905166734860.1492329760480.0109064961551
50000000.3492229735480.490421641730.149388310790.0109670739324
51000000.3490747442620.4903425574550.1495557278290.0110269704533
52000000.3488995193960.490296575010.149714658280.0110892473134
53000000.3487544181780.4902075400190.1498892351110.0111488066919
54000000.3486017618070.490144463840.1500476685320.0112061058219
55000000.3484742768580.4900707851980.1501880905710.0112668473738
56000000.3483169022170.490046086280.1503098014970.0113272100055
57000000.3481548999180.490021468280.1504402008970.0113834309062
58000000.3480150306480.4899785740010.1505666431910.0114397521596
59000000.3478897687640.4899222724970.1506856109140.0115023478248
60000000.3477585440680.4898737114030.150805501410.0115622431185
61000000.3476343808460.4898171747420.150933606580.0116148378311
62000000.3475267324480.4897578285210.151047372280.0116680667513
63000000.3473839558530.4897324740760.1511634914490.0117200786226
64000000.3472947716940.489652325260.1512831202620.0117697827839
65000000.3472144669010.489582021590.1513855594320.011817952077
66000000.3471086472020.4895334556470.1514912463940.0118666507563
67000000.3469997234170.4895037084370.1515878093020.0119087588434
68000000.3468669383890.4894763215990.1516981882190.0119585517934
69000000.3467482285990.4894458697090.1518030257650.0120028759262
70000000.3466408784670.4894092944250.1519007683310.0120490587765
71000000.3465158120920.4893685279050.1520163439410.0120993160623
72000000.3464003622660.4893343635780.1521241489950.0121411251618
73000000.3462916430120.4893074109530.1522192324050.0121817136297
74000000.3462220502990.4892379812620.1523172219970.0122227464416
75000000.3461498806890.4891689751840.1524160467850.0122650973412
76000000.3460509230230.4891362501920.1525061529560.0123066738286
77000000.3459506024610.4891040010720.1525970663920.0123483300753
78000000.3458515057610.4890899803540.1526689293770.0123895845077
79000000.345744550970.4890588641170.1527658232920.0124307616207
80000000.3456755027660.4890145026080.1528387018940.0124712927319
81000000.3455886342290.4889742404040.1529244183750.0125127069924
82000000.3455093452950.4889172488910.1530236748170.0125497309983
83000000.3454293588670.4888817686270.153099285310.0125895871954
84000000.3453606080530.4888382361540.1531765639370.0126245918565
85000000.3452853289340.488801689320.1532527485480.0126602331973
86000000.3452243998860.4887605896040.1533250356190.0126899748904
87000000.3451474782770.4886962701810.1534314483990.0127248031434
88000000.3450641100090.4886543691770.1535177059330.01276381488
89000000.3449967157940.4886085260180.1535955271110.0127992310765
90000000.3449459113150.488569871640.1536524727930.0128317442514
91000000.3448846187120.4885290426820.1537159981450.0128703404601
92000000.3448252581570.4884857891840.1537864119250.0129025407342
93000000.3447581303830.488451961830.1538543996210.0129355081658
94000000.3446935583280.4884146819350.1539185443810.0129732153568
95000000.3446331066350.4883844197150.1539765301090.0130059435408
96000000.3445577387120.4883353800030.1540624768680.0130444044171
97000000.3445132314740.4882963363670.154115375180.0130750569789
98000000.3444404191580.4882767929930.154174712270.0131080755793
99000000.3443841391980.4882343550660.1542413491280.0131401566078
100000000.3443203653680.4881917199190.1543093817210.0131785329911
101000000.3442773293310.4881495611590.1543644489440.0132086605662
102000000.3442187289010.4881150324970.1544263743610.0132398642414
103000000.3441470648060.4880859024630.1544918917020.0132751410293
104000000.3441029307330.4880592614740.1545348276060.0133029801874
105000000.3440509762680.4880138166320.154604553010.0133306540902
106000000.3439969721760.4879691873310.1546703713750.0133634691169
107000000.3439398306180.4879432774540.1547297101220.0133871818058
108000000.3438761307310.4879277047690.15478351450.0134126499992
109000000.3438186711240.4879087122630.1548335548480.0134390617648
110000000.3437605070860.487886749160.1548837865470.0134689572066
111000000.3437259041850.4878304958020.1549477345110.0134958655021
112000000.3436746147310.487800347250.1549971290020.0135279090181
113000000.3436179187620.4877614580340.1550618111470.0135588120567
114000000.3435705410770.4877206653720.1551234827360.0135853108145
115000000.3435209477450.4876717421250.1551938653690.0136134447608
116000000.3434848453330.4876453803970.1552307384090.0136390358613
117000000.3434404142820.4876020089760.1552899751530.0136676015892
118000000.3434072766510.4875568682460.1553442675580.013691587545
119000000.3433617685060.4875019579640.1554181325390.0137181409912
120000000.3433185317770.4874636559210.1554708518140.0137469604878
121000000.3432789752210.4874148681820.1555340020370.0137721545592
122000000.3432358243210.4873886394730.1555759756990.0137995605065
123000000.3431952708110.4873470839780.1556280692720.0138295759391
124000000.3431657214620.4872949960340.1556818923550.0138573901484
125000000.3431209536260.4872767489110.1557209192730.01388137819
126000000.3430909843830.487234330420.1557680230120.0139066621855
127000000.3430643295320.48719389110.1558077773240.013934002045
128000000.3430274216140.4871613195030.1558512849530.0139599739302
129000000.342982401260.4871367638570.1559006210760.0139802138073
130000000.342933070230.4870940311060.1559678252470.014005073417
131000000.3428785722250.4870693910620.1560210426220.0140309940905
132000000.3428597462330.4870316927720.1560553701190.0140531908765
133000000.3428384692760.4870052010970.1560818775760.0140744520513
134000000.3428114643760.4869589707190.1561274363430.0141021285622
135000000.3427757414450.4869279805160.1561719259610.0141243520788
136000000.3427415575980.4869057608550.1562053267850.0141473547618
137000000.3427016988990.4868740447710.1562549815650.014169274765
138000000.3426537453280.486853373490.1563048818170.0141879993653
139000000.342616546370.4868038867040.1563669478140.0142126191121
140000000.3425789514070.4867686258480.1564148002240.0142376225204
141000000.3425503795730.4867266219430.1564590553080.0142639431755
142000000.3425136620550.4867008000250.156499643090.0142858948305
143000000.3424729202480.4866785572760.1565402510410.0143082714346
144000000.3424544636480.4866445365390.1565704364810.0143305633323
145000000.3424099832040.4866306700710.1566085273350.0143508193899
146000000.3423677676370.4866076694290.1566503465970.0143742163376
147000000.3423256781630.4865816327550.1566979031140.0143947859684
148000000.3422785667210.4865694414890.156738577540.0144134142506
149000000.342229229770.4865533232710.1567831012390.0144343457201
150000000.3421869586480.4865452974170.1568132632060.0144544807287
151000000.3421474575730.4865339859490.1568414936360.0144770628414
152000000.3421134692780.4865117902140.156878611560.0144961289473
153000000.3420764501210.4864870685440.1569181280790.0145183532566
154000000.342043711770.4864517796710.156964453840.0145400547196
155000000.3420232545090.4864148604660.157005765850.0145561191756
156000000.3419909453620.4863791252170.1570525301680.0145773992529
157000000.3419628697310.4863472887710.1570929683350.014596873163
158000000.3419273651440.4863286759590.1571294291670.01461452973
159000000.341893046350.4863101205650.1571618709410.0146349621434
160000000.3418561173920.4862847060310.1572037143850.0146554621925
161000000.3418325952090.4862666300280.1572270264540.0146737483086
162000000.3418048187820.4862290661080.1572740762830.0146920388281
163000000.3417726267260.4862053517090.1573108555350.0147111660293
164000000.34173519320.486178058310.1573539928950.0147327555946
165000000.3417040655130.4861560133980.1573883091020.0147516119867
166000000.3416762198190.4861374212030.1574165096730.0147698493054
167000000.3416345911840.4861160250690.1574600761760.0147893075708
168000000.3415954684240.4861102258590.157484193970.0148101117474
169000000.3415550768180.4861028263460.1575136273580.0148284694781
170000000.3415337741410.4860750698980.1575428630060.0148482929543
171000000.3415180955660.4860441153860.1575709350360.0148668540128
172000000.3414993360650.4860222913170.1575946668130.0148837058051
173000000.3414609273150.4860025966460.1576327497960.0149037262425
174000000.3414332008160.485984604050.157663041040.0149191540929
175000000.3413979060950.4859760442650.1576902905770.0149357590634
176000000.3413658249340.485966570650.1577138875320.0149537168838
177000000.3413337624540.4859473735640.1577486236850.0149702402978
178000000.341311907050.485923294540.1577777635010.0149870349084
179000000.3412882997570.4859031517350.157802836370.0150057121388
180000000.341267473690.4858773506290.1578312891530.0150238865286
181000000.3412421539980.4858642071170.1578553371740.015038301711
182000000.3412046326340.4858547931330.1578863978780.0150541763551
183000000.3411681009870.4858455740830.157918330550.0150679943798
184000000.3411292394360.4858450541420.1579419012410.0150838051811
185000000.3410984507830.4858292366650.1579712397490.0151010728034
186000000.3410632457940.4858160264890.1580042692790.0151164584376
187000000.3410362157410.4857969386130.1580319479240.0151348977215
188000000.341012839790.4857763797570.158060863780.0151499166729
189000000.3409883563080.4857663473430.1580823443750.015162951974
190000000.3409705794070.4857445600890.1581058878750.0151789726287
191000000.3409370732260.4857331742980.1581318459360.0151979065401
192000000.3409104581220.4857178675130.1581569044630.0152147699022
193000000.3408787165740.4857020651730.1581850489690.0152341692844
194000000.3408356277950.4857040770410.1582107689340.0152495262303
195000000.3407990160970.4856914770990.1582418066680.0152677001367
196000000.3407654348770.4856812086770.1582713365650.0152820198806
197000000.3407452383270.4856611399520.1582977296290.0152958920923
198000000.3407251140920.4856349687740.1583307064170.0153092107173
199000000.3407049763510.4856121219480.1583567855740.0153261161272
200000000.3406705001130.4855994183520.1583858802290.0153442013062
201000000.340644433830.4855864964560.1584092241840.0153598455309
202000000.3406109684310.4855770697720.1584356697090.0153762920878
203000000.3405840921550.4855584197680.1584644893970.0153929986813
204000000.3405523028570.4855460361920.1584896133330.0154120476181
205000000.3405386285990.4855387927460.1584974964430.0154250822115
206000000.3405111066750.4855293484940.158520617730.015438927101
207000000.3404878365350.4855137283090.1585451567680.0154532783885
208000000.3404641569160.4855025561890.1585650905110.0154681963842
209000000.3404354617730.4854946958070.1585873230160.015482519404
210000000.34040468210.4854857932770.1586131929740.0154963316495
211000000.3403750235390.4854692716630.1586456198370.0155100849615
212000000.3403519021640.4854536616010.1586686444830.0155257917517
213000000.3403285329950.4854365909450.1586939533730.0155409226872
214000000.3403120557540.4854252166220.1587094038150.0155533238093
215000000.3402977820950.485403500580.1587319500470.0155667672775
216000000.3402804299490.4853848507840.1587516040420.0155831152246
217000000.3402587643930.4853682631230.1587758792960.0155970931885
218000000.3402316162250.4853540696240.1588042444320.0156100697191
219000000.340209654460.4853376394880.1588290001570.0156237058952
220000000.3401859910020.4853163372580.1588576196170.0156400521221
221000000.3401629440710.4853029437050.1588800367080.0156540755164
222000000.3401434866040.4852811013560.1589092340790.0156661779622
223000000.3401122734130.4852755702030.1589326688840.0156794874998
224000000.3400989750620.4852543543280.1589551562250.0156915143858
225000000.3400814557750.4852388923310.1589765786360.0157030732581
226000000.3400612645280.4852206186390.1590013827690.015716734063
227000000.3400538371070.4852011755840.1590144405050.0157305468043
228000000.3400193851090.4851956805830.1590397801460.0157451541623
229000000.3400001051230.4851790565370.1590621482450.0157586900951
230000000.3399887289250.4851617856250.1590770309390.0157724545115
231000000.3399681555690.4851455688610.1591020994810.0157841760882
232000000.3399629411740.4851161141430.1591241884890.015796756194
233000000.3399469944160.4850943811710.1591494726930.0158091517196
234000000.3399300846040.4850826577640.1591675708620.01581968677
235000000.3399138934050.485072646740.1591819886180.0158314712382
236000000.3398919038820.4850657636130.1591969427620.0158453897437
237000000.3398702614230.485055509390.1592166551540.0158575740322
238000000.3398419134570.4850509509710.1592374169660.0158697186065
239000000.3398249606660.485043643630.1592511839880.0158802117155
240000000.339800138940.4850355286170.1592707875360.0158935449066
241000000.3397800034470.4850195682060.1592929084980.0159075198483
242000000.3397582681870.4850092296550.1593128555540.0159196466039
243000000.3397406977340.4850041375380.1593243091870.0159308555407
244000000.3397243475420.484982457290.1593516756080.0159415195603
245000000.3397123814350.4849686486960.1593664906510.0159524792176
246000000.3396976595990.4849514698520.1593856937420.0159651768074
247000000.3396789848790.484938082240.1594040915870.0159788412942
248000000.3396663526070.4849276748150.1594129037320.0159930688458
249000000.3396433455090.4849194738410.1594310771810.0160061034693
250000000.3396241473940.4849022242890.1594546678490.0160189604679
251000000.3396033041790.4848960063260.1594701581160.0160305313795
252000000.3395937064510.4848822878120.1594828223330.0160411834034
253000000.339586097210.4848703407660.1594935692140.016049992811
254000000.3395645716820.4848635958320.1595121540460.0160596784402
255000000.3395547528060.4848500101080.1595256781540.0160695589328
256000000.3395459134590.4848312028860.1595442403480.0160786433067
257000000.3395335400230.4848256842620.159552441270.016088334446
258000000.3395241594190.4848140756460.1595640745490.0160976903864
259000000.3395065599770.4848040158270.1595807440710.0161086801254
260000000.3394859633220.4847970327830.1595985700060.0161184338883
261000000.3394687083980.4847834072760.1596170774260.0161308068999
262000000.339457864610.4847750614350.1596277141360.016139359819
263000000.3394482621710.4847700145750.1596350458340.0161466774195
264000000.339432371560.4847622939610.159648708450.0161566260286
265000000.3394179147440.4847530451090.1596623810530.0161666590938
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