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math.NT2003
On the Ramification of Hecke Algebras at Eisenstein Primes
Frank Calegari, Matthew Emerton
Using the modularity technique of Wiles, we study the Hecke algebra of weight 2 and prime level N localized at the Eisenstein primes. On the way, we recover some results of Mazur (…
math.NT2003★ 5 cited
The Hecke Algebra T_k has Large Index
Frank Calegari, Matthew Emerton
Let T_k denote the Hecke algebra acting on newforms of weight k and level N. We prove that the power of p dividing the index of T_k inside its normalisation grows at least linearly…