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Questions about modular forms and related areas

18 votes
Accepted

Verifying coefficients of modular forms

Maybe I can add something: Wiles famous proof of Fermat's Last Theorem (and the later proof of modularity of all elliptic curves over $\mathbf{Q}$ by Breuil, Conrad, Diamond, Taylor) is a sort of ul …
William Stein's user avatar
9 votes

questions regarding modular forms

This question (at least when I read it right now) seems loaded with typos... In any case, regarding (i) it's a general fact that if $f$ is a modular form with character $\varepsilon$ and $\chi$ is an …
William Stein's user avatar
5 votes

Geometric decomposition of J(11)

Ernst Kani was very interested in this and related questions around 2000. I remember implementing an algorithm for him in around 2000 when I visited Essen to compute a basis of $S_2(\Gamma(p))$ in te …
William Stein's user avatar
3 votes

BSD for modular forms

This paper http://wstein.org/papers/motive_visibility/ by Dummigan, me, and Watkins gives a detailed answer to your question. Plus it has some explicit examples of weight 4 modular forms so that the …
William Stein's user avatar