%0 Journal Article %T On mod p modular representations which are defined over \F_p %A L. J. P. Kilford %J Mathematics %D 2006 %I arXiv %X 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. %U http://arxiv.org/abs/math/0606052v2