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Generating the Hecke algebra

A. Agashe

W.A. Stein

Department of Mathematics, University of California, Berkeley, CA 94720, USA


Let $ \mathbb{T}$ be the Hecke algebra associate to weight $ k$ modular forms for $ X_0(N)$. We give a bound for the number of Hecke operators $ T_n$ needed to generate $ \mathbb{T}$ as a $ \mathbb{Z}$-module.

William A Stein 2002-02-01