Growth of torsion groups of elliptic curves over number fields without rationally defined CM

DOI10.1016/j.jnt.2023.11.014arXiv2308.01683MaRDI QIDQ6190982

Han Sol Kim, Bo-Hae Im

Publication date: 8 February 2024

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

Full work available at URL: https://arxiv.org/abs/2308.01683

zbMATH Keywords

torsion subgroupelliptic curveprime degree isogeny

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Isogeny (14K02)

Cites Work

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• Complete classification of the torsion structures of rational elliptic curves over quintic number fields
• Torsion of rational elliptic curves over cubic fields and sporadic points on \(X_1(n)\)
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• Bounds for the torsion of elliptic curves over number fields
• Torsion growth of rational elliptic curves in sextic number fields
• Galois properties of points of finite order of elliptic curves
• The Arithmetic of Elliptic Curves
• Torsion points on elliptic curves defined over quadratic fields
• A group theoretic perspective on entanglements of division fields
• Determinants of subquotients of Galois representations associated with abelian varieties
• Growth of torsion groups of elliptic curves upon base change

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