Conjectures about discriminants of Hecke algebras at prime level
Number Theory
2009-09-29 v1
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).
Keywords
Cite
@article{arxiv.math/0406243,
title = {Conjectures about discriminants of Hecke algebras at prime level},
author = {Frank Calegari and William Stein},
journal= {arXiv preprint arXiv:math/0406243},
year = {2009}
}
Comments
To appear in ANTS 6 Proceedings