On Galois representations defined by torsion points of modular elliptic curves
P. Bayer, J. C. Lario (1992)
Compositio Mathematica
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P. Bayer, J. C. Lario (1992)
Compositio Mathematica
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Gerhard Frey (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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Dieulefait, Luis V. (2004)
Experimental Mathematics
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Bas Edixhoven (1999-2000)
Séminaire Bourbaki
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Wiese, Gabor (2004)
Documenta Mathematica
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Kenneth A. Ribet (1990)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Moon, Hyunsuk, Taguchi, Yuichiro (2003)
Documenta Mathematica
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Luis V. Dieulefait (2001)
Journal de théorie des nombres de Bordeaux
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We reformulate more explicitly the results of Momose, Ribet and Papier concerning the images of the Galois representations attached to newforms without complex multiplication, restricted to the case of weight and trivial nebentypus. We compute two examples of these newforms, with a single inner twist, and we prove that for every inert prime greater than the image is as large as possible. As a consequence, we prove that the groups for every prime , and for every prime , are...
Duke, W., Tóth, Á. (2002)
Experimental Mathematics
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Chris Skinner (2003)
Journal de théorie des nombres de Bordeaux
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This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, -adic Galois representations associated to holomorphic Hilbert modular newforms.