Modularity of CM elliptic curves over division fields

DOI10.1016/j.jnt.2007.01.011zbMath1167.11022OpenAlexW2061757908MaRDI QIDQ958661

Naoki Murabayashi

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.01.011

zbMATH Keywords

elliptic curvecomplex multiplicationmodularity

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 (3)

On construction of certain CM elliptic curves ⋮ 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 field of definition for modularity of CM elliptic curves
• On the zeta-function of an abelian variety with complex multiplication
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields

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