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Motive of CM elliptic curve and modular forms

Since this question has come alive again, let me point out that the Hecke operators cannot give a splitting of $h^1(E)$ into two pieces over $F$, since the Hecke correspondences on a modular curve are ...
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Motive of CM elliptic curve and modular forms

Question 1: The field generated by the Fourier coefficients of an elliptic curve associated to a modular form is $\mathbb Q$. (For example, since the Fourier coefficients can be calculated by counting ...
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Explicit Chebotarev density theorem for Galois representations associated to newforms

An explicit bound on $M$ can be proved. It is not clear to me if the modularity of $\rho$ would help improve such bounds. One can use the best available numerical bounds on the least norm of an ...
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Dedekind eta function history

I suspect the introduction of the factor $q^{\frac{1}{24}}$ into what is now called "Dedekind eta function" has even earlier origins than in Riemann's unpublished fragments. In his ...
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