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

Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard

doi:10.1090/S0894-0347-01-00370-8

On the modularity of elliptic curves over $\mathbf {Q}$: Wild $3$-adic exercises
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J. Amer. Math. Soc. 14 (2001), 843-939 Request permission

Abstract:

We complete the proof that every elliptic curve over the rational numbers is modular.

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