Conjectures about discriminants of Hecke algebras at prime level

Details Conjectures about discriminants of Hecke algebras at prime level Conjectures about discriminants of Hecke algebras at prime level

2004-06-11

arxiv.org/abs/math/0406243v1

Mathematics

Number Theory

To appear in ANTS 6 Proceedings

Scientific paper

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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