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arxiv: math/0606052 · v2 · submitted 2006-06-02 · 🧮 math.NT

On mod p modular representations which are defined over F_p

classification 🧮 math.NT
keywords definedmodularspacesconreyeigenspaceseigenvaluesfarmerfind
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In this paper, we use techniques of Conrey, Farmer and Wallace to find spaces of modular forms $S_k(\Gamma_0(N))$ where all of the eigenspaces have Hecke eigenvalues defined over $\F_p$, and give a heuristic indicating that these are all such spaces.

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