Graphs

Conductor N	Average Rank of Curves up to Conductor N
`100000`	`0.917556346382`
`200000`	`0.93929480189`
`300000`	`0.935162765671`
`400000`	`0.93793554007`
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`600000`	`0.945390298747`
`700000`	`0.946438746439`
`800000`	`0.947851966874`
`900000`	`0.952696310312`
`1000000`	`0.955075782357`
`1100000`	`0.953941361469`
`1200000`	`0.954399546828`
`1300000`	`0.960363409637`
`1400000`	`0.958455728074`
`1500000`	`0.958586019789`
`1600000`	`0.959510786995`
`1700000`	`0.961359674608`
`1800000`	`0.961517049408`
`1900000`	`0.962134366235`
`2000000`	`0.962955829481`
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`2200000`	`0.965787427478`
`2300000`	`0.965804547822`
`2400000`	`0.965327956086`
`2500000`	`0.966038145954`
`2600000`	`0.966473072862`
`2700000`	`0.966039868475`
`2800000`	`0.966451677416`
`2900000`	`0.966378388883`
`3000000`	`0.966883024589`
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`3200000`	`0.969155259366`
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`3500000`	`0.972312087727`
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`4000000`	`0.971609911827`
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`98000000`	`0.980900484907`
`98100000`	`0.980881964788`
`98200000`	`0.98096190101`
`98300000`	`0.980950924637`
`98400000`	`0.980961545964`
`98500000`	`0.981040190508`
`98600000`	`0.981063114296`
`98700000`	`0.981048234077`
`98800000`	`0.981032146816`
`98900000`	`0.980953152074`
`99000000`	`0.98092482556`
`99100000`	`0.980929497026`
`99200000`	`0.980960198024`
`99300000`	`0.980981533683`
`99400000`	`0.980905119287`
`99500000`	`0.980948051278`
`99600000`	`0.980915932168`
`99700000`	`0.980905354033`
`99800000`	`0.980921408168`
`99900000`	`0.980894647351`
`100000000`	`0.980898941364`

Average Rank for Optimal Curves with Prime Conductor

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