On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises

  title={On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises},
  author={Christophe Breuil and Brian Conrad and Fred Diamond and Richard Taylor},
  journal={Journal of the American Mathematical Society},
We complete the proof that every elliptic curve over the rational numbers is modular. 

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  • G. Shimura
  • Mathematics
    Nagoya Mathematical Journal
  • 1971
1. As Hecke showed, every L-function of an imaginary quadratic field K with a Grössen-character γ is the Mellin transform of a cusp form f(z) belonging to a certain congruence subgroup Γ of SL2(Z).

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