Elliptic curves with maximally disjoint division fields

DOI10.4064/aa8275-7-2016zbMath1361.14024arXiv1507.07423OpenAlexW2963662716MaRDI QIDQ2833596

James Ricci, Harris B. Daniels, Jeffrey Hatley

Publication date: 18 November 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07423

zbMATH Keywords

elliptic curvesGalois representationsdivision fieldsSerre curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Galois representations (11F80) Elliptic curves over local fields (11G07)

Related Items (2)

The Lang-Trotter conjecture for products of non-CM elliptic curves ⋮ Products of hyperelliptic Jacobians with maximal Galois image

Cites Work

• Unnamed Item
• Pairs of elliptic curves with maximal Galois representations
• An infinite family of Serre curves
• \(\mathrm{GL}_2\)-representations with maximal image
• Galois properties of points of finite order of elliptic curves
• BOUNDS FOR THE TORSION OF ELLIPTIC CURVES OVER EXTENSIONS WITH BOUNDED RAMIFICATION
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
• The decomposition of primes in torsion point fields

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