On fields of definition of torsion points of elliptic curves with complex multiplication

DOI10.1090/S0002-9939-2010-10621-4zbMath1222.11074arXiv0909.1661OpenAlexW3106021622MaRDI QIDQ3005606

Jorge Jiménez-Urroz, Enrique González-Jiménez, Luis V. Dieulefait

Publication date: 9 June 2011

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

Full work available at URL: https://arxiv.org/abs/0909.1661

zbMATH Keywords

torsionelliptic curvesGalois representation

Mathematics Subject Classification ID

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

Related Items (5)

New points on curves ⋮ Erratum to: ``The number of twists with large torsion of an elliptic curve ⋮ Unnamed Item ⋮ Explicit characterization of the torsion growth of rational elliptic curves with complex multiplication over quadratic fields ⋮ ON THE NUMBER OF ELLIPTIC CURVES WITH PRESCRIBED ISOGENY OR TORSION GROUP OVER NUMBER FIELDS OF PRIME DEGREE

Uses Software

• Magma
• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Torsion subgroups of elliptic curves over quadratic extensions
• Elliptic curves and their torsion subgroups over number fields of type \((2,2,\dots,2)\).
• Galois properties of points of finite order of elliptic curves
• Torsion subgroups of elliptic curves with non-cyclic torsion over Q in elementary abelian 2-extensions of Q

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