Rational elliptic curves are modular
Bas Edixhoven (1999-2000)
Séminaire Bourbaki
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Bas Edixhoven (1999-2000)
Séminaire Bourbaki
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Wiese, Gabor (2004)
Documenta Mathematica
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Wintenberger, J.-P. (2007)
Documenta Mathematica
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Gerhard Frey (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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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.
Ehud De Shalit (1995)
Compositio Mathematica
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Dieulefait, Luis (2004)
Experimental Mathematics
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Darmon, Henri (1999)
Annals of Mathematics. Second Series
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Dieulefait, Luis V. (2004)
Experimental Mathematics
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Matthias Schütt (2004)
Collectanea Mathematica
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The aim of this article is to present five new examples of modular rigid Calabi-Yau threefolds by giving explicit correspondences to newforms of weight 4 and levels 10, 17, 21 and 73.