Torsion of rational elliptic curves over cubic fields

DOI10.1216/RMJ-2016-46-6-1899zbMath1358.11068arXiv1411.3467MaRDI QIDQ501802

Filip Najman, Enrique González-Jiménez, José María Tornero

Publication date: 10 January 2017

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3467

zbMATH Keywords

elliptic curvestorsion subgroupcubic fieldsrationals

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Cubic and quartic extensions (11R16)

Related Items (9)

An Algorithm for Determining Torsion Growth of Elliptic Curves ⋮ On the torsion of rational elliptic curves over quartic fields ⋮ Torsion growth of rational elliptic curves in sextic number fields ⋮ Torsion of rational elliptic curves over different types of cubic fields ⋮ Explicit characterization of the torsion growth of rational elliptic curves with complex multiplication over quadratic fields ⋮ Complete classification of the torsion structures of rational elliptic curves over quintic number fields ⋮ Growth of torsion groups of elliptic curves upon base change ⋮ On the torsion of rational elliptic curves over sextic fields ⋮ ON -CONGRUENT NUMBERS OVER REAL NUMBER FIELDS

Uses Software

• Magma

Cites Work

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