Torsion of elliptic curves over cubic fields

DOI10.1016/j.jnt.2011.06.013zbMath1268.11080arXiv1108.3709OpenAlexW1979462017MaRDI QIDQ643528

Filip Najman

Publication date: 2 November 2011

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

Full work available at URL: https://arxiv.org/abs/1108.3709

zbMATH Keywords

elliptic curvescubic fieldstorsion group

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Arithmetic aspects of modular and Shimura varieties (11G18) Cubic and quartic extensions (11R16)

Related Items (11)

A criterion to rule out torsion groups for elliptic curves over number fields ⋮ EXCEPTIONAL ELLIPTIC CURVES OVER QUARTIC FIELDS ⋮ A Table of Elliptic Curves over the Cubic Field of Discriminant–23 ⋮ On the torsion of rational elliptic curves over quartic fields ⋮ Torsion groups of elliptic curves over the \(\mathbb{Z}_p\)-extensions of \(\mathbb{Q}\) ⋮ Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields ⋮ Torsion of rational elliptic curves over cubic fields ⋮ Families of elliptic curves over cyclic cubic number fields with prescribed torsion ⋮ Growth of torsion of elliptic curves with full 2-torsion over quadratic cyclotomic fields ⋮ Cartan images and \(\ell \)-torsion points of elliptic curves with rational \(j\)-invariant ⋮ ON THE NUMBER OF ELLIPTIC CURVES WITH PRESCRIBED ISOGENY OR TORSION GROUP OVER NUMBER FIELDS OF PRIME DEGREE

Cites Work

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