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Surjectivity of mod ℓ Representations Attached to Elliptic Curves and Congruence Primes

Published online by Cambridge University Press:  20 November 2018

Imin Chen
Imin Chen*
Affiliation:
Max Planck Institut für Mathematik Vivatsgasse 7, P.O. Box 7280 D-53072 Bonn, Germany, e-mail: chen@mpim-bonn.mpg.de
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Abstract

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For a modular elliptic curve $E/\mathbb{Q}$, we show a number of links between the primes $\ell $ for which the mod $\ell $ representation of $E/\mathbb{Q}$ has projective dihedral image and congruence primes for the newform associated to $E/\mathbb{Q}$.

Keywords

11G0511F80torsion points of elliptic curvesGalois representationscongruence primesSerre torigrossencharactersnon-split Cartan
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 45 , Issue 3 , 01 September 2002 , pp. 337 - 348
Copyright
Copyright © Canadian Mathematical Society 2002

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