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Modular elliptic curves and fermat's last theorem
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On modular representations of $$(\bar Q/Q)$$ arising from modular forms
where G is the Galois group GaI ( I ) /Q) and F is a finite field of characteristic I > 3. Suppose that p is modular of level N, i.e., that it arises from a weight-2 newform of level dividing N andExpand
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on l -adic representations attached to modular forms II
Suppose that is a newform of weight k on Г 1 ( N ). Thus f is in particular a cusp form on Г 1 ( N ), satisfying for all n≥1. Associated with f is a Dirichlet character such that for all, .
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Twists of modular forms and endomorphisms of Abelian varieties
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Abelian Varieties over Q and Modular Forms
Let C be an elliptic curve over Q. Let N be the conductor of C. The Taniyama conjecture asserts that there is a non-constant map of algebraic curves X 0 (N) — C which is defined over Q. Here, X o (N)Expand
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A modular construction of unramifiedp-extensions ofQ(μp)
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On ℓ-adic representations attached to modular forms
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