Q-curves and their Manin ideals

DOI10.1353/ajm.2001.0015zbMath1035.14009OpenAlexW1996022199MaRDI QIDQ2731391

Josep González, Joan-Carles Lario

Publication date: 22 May 2003

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm123.3.html

zbMATH Keywords

elliptic curvemodular parametrizationmodular abelian varietiesNéron differentialManin ideal

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Other groups and their modular and automorphic forms (several variables) (11F55) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Arithmetic ground fields for abelian varieties (14K15)

Related Items (13)

Modular curves of genus 2 ⋮ The Sato–Tate Distribution and the Values of Fourier Coefficients of Modular Newforms ⋮ On $L$-functions of quadratic $\mathbb {Q}$-curves ⋮ On Heegner points for primes of additive reduction ramifying in the base field ⋮ Finiteness of endomorphism algebras of CM modular Abelian varieties ⋮ Remarks on strongly modular Jacobian surfaces ⋮ Strongly modular models of ℚ-curves ⋮ Almost totally complex points on elliptic curves ⋮ On the modularity level of modular abelian varieties over number fields ⋮ Non-critical equivariant L-values of modular abelian varieties ⋮ CRITÈRES D'IRRÉDUCTIBILITÉ POUR LES REPRÉSENTATIONS DES COURBES ELLIPTIQUES ⋮ Cropping Euler factors of modularL-functions ⋮ Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of \(\mathrm{GL}_2\)-type

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