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Subjects
11-XX Number theory
11Fxx Discontinuous groups and automorphic forms
11F32 Modular correspondences, etc.

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Einige Anwendungen der Spurformel im Bereich der Modularkorrespondenzen

M. EICHLER (1967)

Mathematische Annalen

Endomorphism algebras of motives attached to elliptic modular forms

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

Annales de l’institut Fourier

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 determined...

Currently displaying 1 – 2 of 2

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