Locally potentially equivalent two dimensional Galois representations and Frobenius fields of elliptic curves

DOI10.1016/J.JNT.2015.12.010zbMath1402.11082arXiv1403.5635OpenAlexW2963669906MaRDI QIDQ266591

C. S. Rajan, Vijay M. Patankar, Manisha V. Kulkarni

Publication date: 13 April 2016

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

Full work available at URL: https://arxiv.org/abs/1403.5635

zbMATH Keywords

elliptic curvescomplex multiplicationGalois representationsFrobenius fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (4)

Distinguishing Hecke eigenforms ⋮ On the structure of locally potentially equivalent Galois representations ⋮ Distinguishing pure representations by normalized traces ⋮ Applications of the Square Sieve to a Conjecture of Lang and Trotter for a Pair of Elliptic Curves Over the Rationals

Cites Work

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• Quelques applications du théorème de densité de Chebotarev
• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Galois properties of points of finite order of elliptic curves
• Locally potentially equivalent Galois representations
• The Arithmetic of Elliptic Curves
• $F$-split Galois representations are potentially abelian
• Abelian varieties over finite fields

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