Modular curves and unramified extensions of number fields

S. Kamienny

Displaying similar documents to “Modular curves and unramified extensions of number fields”

Modular curves and the Eisenstein ideal

Barry Mazur (1977)

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From the Taniyama-Shimura conjecture to Fermat's last theorem

Kenneth A. Ribet (1990)

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Euler systems obtained from congruences between Hilbert modular forms

Matteo Longo (2007)

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Endomorphism algebras of motives attached to elliptic modular forms

Alexander F. Brown, Eknath P. Ghate (2003)

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We study the endomorphism algebra of the motive attached to a non-CM elliptic modular cusp form. We prove that this algebra has a sub-algebra isomorphic to a certain crossed product algebra $X$ . The Tate conjecture predicts that $X$ is the full endomorphism algebra of the motive. We also investigate the Brauer class of $X$ . For example we show that if the nebentypus is real and $p$ is a prime that does not divide the level, then the local behaviour of $X$ at a place lying above $p$ is essentially...

Rational elliptic curves are modular

Bas Edixhoven (1999-2000)

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John Coates (1980-1981)

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P. Bayer, J. C. Lario (1992)

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