A bound for the torsion conductor of a non-CM elliptic curve

DOI10.1090/S0002-9939-08-09436-7zbMath1228.11084arXiv0711.1546OpenAlexW2006651358MaRDI QIDQ3600580

Nathan Jones

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1546

Mathematics Subject Classification ID

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

Related Items (3)

A bound for the conductor of an open subgroup of \(\mathrm{GL}_2\) associated to an elliptic curve ⋮ The distribution and growth of the elementary divisors of the reductions of an elliptic curve over a function field ⋮ On the level of modular curves that give rise to isolated \(j\)-invariants

Cites Work

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• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Galois properties of points of finite order of elliptic curves
• The Jacobians of Non-Split Cartan Modular Curves
• Galois Properties of Division Fields of Elliptic Curves
• On the Surjectivity of the Galois Representations Associated to Non-CM Elliptic Curves
• Towards the triviality of $X_0^+ (p^r) (\mathbb{Q})$ for r > 1

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