Conjectures about discriminants of Hecke algebras at prime level

Frank Calegari; William Stein

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Conjectures about discriminants of Hecke algebras at prime level

Frank Calegari·William Stein

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Abstract

We study p-divisibility of discriminants of Hecke algebras associated to spaces of cusp forms of prime level. We make a precise conjecture about the indexes of Hecke algebras in their normalisation which implies (if true) the conjecture that there are no mod p congruences between non-conjugate newforms of weight 2 and level Gamma_0(p).

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Frank Calegari, William Stein. 2004-06-11. Conjectures about discriminants of Hecke algebras at prime level. https://arxiv.org/abs/math/0406243

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