On the field of definition for modularity of CM elliptic curves

DOI10.1016/j.jnt.2004.05.004zbMath1079.11030OpenAlexW2065412526MaRDI QIDQ1773333

Naoki Murabayashi

Publication date: 28 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.05.004

zbMATH Keywords

elliptic curvecomplex multiplicationmodular variety

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (4)

On construction of certain CM elliptic curves ⋮ Modularity of CM elliptic curves over division fields ⋮ On torsion points of certain CM elliptic curves ⋮ On \(\lambda\)-invariants of \(\mathbb{Z}_\ell\)-extensions over real abelian number fields of prime power conductors

Cites Work

• On the zeta-function of an abelian variety with complex multiplication
• Class fields over real quadratic fields and Hecke operators
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields
• On the arithmetic of abelian varieties
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