Elliptic curves with full 2-torsion and maximal adelic Galois representations

DOI10.1090/S0025-5718-2014-02804-4zbMath1303.11064arXiv1207.5169OpenAlexW2013089254MaRDI QIDQ3189457

Tony Feng, Zane Kun Li, Sarah Trebat-Leder, David Alexander Corwin

Publication date: 10 September 2014

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

Full work available at URL: https://arxiv.org/abs/1207.5169

zbMATH Keywords

elliptic curvefull 2-torsionGreicius testmaximal adelic Galois representation

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80)

Uses Software

• SageMath

Cites Work

• 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
• Elliptic Curves with Surjective Adelic Galois Representations
• Elliptic curves with maximal Galois action on their torsion points
• Almost all elliptic curves are Serre curves
• The Arithmetic of Elliptic Curves
• Courbes elliptiques sur Q sans nombres premiers exceptionnels
• The decomposition of primes in torsion point fields
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