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On the modularity of elliptic curves over Q

By Christophe Breuil, Brian Conrad, Fred Diamond and Richard Taylor


In this paper, building on work of Wiles [Wi] and of Wiles and one of us (R.T.) [TW], we will prove the following two theorems (see §2.2). Theorem A. If E /Q is an elliptic curve, then E is modular. Theorem B. If ρ: Gal(Q/Q) → GL2(F5) is an irreducible continuous representation with cyclotomi

Year: 2011
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