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A space of modular forms is defined by a triple N, k, eps, where N is a level, k is a weight, and eps is a Dirichlet character modulo N. The Dirichlet character is [a1,a2,...], [a1,a2,...] is a vector that defines a map from the units mod N to roots of unity, with respect to a certain basis for (Z/NZ)^*.

A search consists of a sequence of pairs "keyword" "range", where keyword is e.g., "level", "weight", "degree", "order of character", etc., and range is either a single integer, a comma separated list of integers, or a range n-m. Ranges cannot be arbitrarily large.

Examples: To find all spaces with level 389, say, use the search 

           level 389
To find all spaces with level between 400 and 500, use "levels 400-500". To find all spaces with weight between 4 and 6, use "weights 2-6". To find all newforms of degree 20 and level between 300 and 400, use "Degree 20 level 300-400".

The newforms are ordered in increasing lexicographic order by the sequence [Tr(a1), Tr(a2), Tr(a3),...]. Note that Tr(a1) is the degree of the form. Note also that this ordering, though very simple, is different than the one used by Cremona in his book and me in some of my other tables. To uniquely specify a particular newform, e.g, in a paper, give the first few traces of the a_p, which are always integers. The first abelian varieties in an isogeny class is always the optimal one, but beyond that the ordering is random.

Scan the glossary to understand the meaning of the tables, and get an idea of what keywords you can search for. (Note: As of Nov 18, the number of search terms is very limited. This will be remedied soon.)