I'm looking for the answer of who first proved modularity of CM curves? That is if $E$ is an elliptic curve over $\mathbb{Q}$ which has complex multiplication then there's a non-constant morphism from $X\_0(N)$ to $E$ for some $N$ (not necessarily the conductor). The possible names that I've thought of are Hecke, Deuring, Weil or Shimura. Does anybody know something more definite?



Historical question about modularity of CM curves
Dear Victor,


I believe it was Shimura in the paper *On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields*, Nagoya Math. J. 43 (1971), 199–208.


Regards,


Matthew


