How does one prove that the fourier coefficients of a normalized eigenform for Hecke operators $T_p$ on $S_k(N)$ all lie in a fixed number field?
If the proof is lengthy, a reference to a book that has the proof will do. Thanks!
How does one prove that the fourier coefficients of a normalized eigenform for Hecke operators $T_p$ on $S_k(N)$ all lie in a fixed number field?
If the proof is lengthy, a reference to a book that has the proof will do. Thanks!
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