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#modular_elliptic_curve

Modular elliptic curve

Mathematical concept

A modular elliptic curve is an elliptic curve E that admits a parametrisation X0(N) → E by a modular curve. This is not the same as a modular curve that happens to be an elliptic curve, something that could be called an elliptic modular curve. The modularity theorem, also known as the Taniyama–Shimura conjecture, asserts that every elliptic curve defined over the rational numbers is modular.

Wed 18th

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Modular elliptic curve Modularity theorem Modular curve Elliptic curve Elliptic-curve cryptography Birch and Swinnerton-Dyer conjecture Wiles's proof of Fermat's Last Theorem Ribet's theorem Lenstra elliptic-curve factorization Modular form

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