Conjectures about discriminants of Hecke algebras at prime level
Calegari, Frank · Stein, William
Original · EN
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 Gamma₀(p).
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