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On mod p modular representations which are defined over \F_p
In this paper, we use techniques of Conrey, Farmer and Wallace to find spaces
of modular forms where all of the eigenspaces have Hecke
eigenvalues defined over \F_p, and give a heuristic indicating that these are
all such spaces.Comment: This is the final version, accepted and to appear in Glasnik
Matematick
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