On the modularity level of modular abelian varieties over number fields

DOI10.1016/j.jnt.2010.03.003zbMath1233.11068arXiv1002.0492OpenAlexW2069927067MaRDI QIDQ984841

Xavier Guitart, Enrique González-Jiménez

Publication date: 20 July 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0492

zbMATH Keywords

conductorsmodular Abelian varieties

Mathematics Subject Classification ID

Abelian varieties of dimension (> 1) (11G10) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (5)

The Sato–Tate Distribution and the Values of Fourier Coefficients of Modular Newforms ⋮ Elliptic curves over totally real quartic fields not containing √5 are modular ⋮ The Mahler measure of x + 1/x + y + 1/y + 4 ± 42 and Beilinson’s conjecture ⋮ Strongly modular models of ℚ-curves ⋮ CRITÈRES D'IRRÉDUCTIBILITÉ POUR LES REPRÉSENTATIONS DES COURBES ELLIPTIQUES

Uses Software

• Magma
• ecdata

Cites Work

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• Serre's modularity conjecture. II
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• Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 -- August 3, 1972
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• Modular elliptic curves and Fermat's Last Theorem
• On the factors of the Jacobian variety of a modular function field
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Q-curves and their Manin ideals
• Abelian varieties over Q and modular forms
• Modular Abelian Varieties Over Number Fields
• On the arithmetic of abelian varieties

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