Number fields generated by the 3-torsion points of an elliptic curve

DOI10.1007/s00605-012-0377-xzbMath1327.11038arXiv1403.2572OpenAlexW2064164484MaRDI QIDQ1762472

Laura Paladino, Andrea Bandini

Publication date: 27 November 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2572

zbMATH Keywords

elliptic curvestorsion points

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Elliptic curves over global fields (11G05)

Related Items (7)

A family of monogenic \(S_4\) quartic fields arising from elliptic curves ⋮ On the size of the genus of a division algebra ⋮ On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility ⋮ On 7-division fields of CM elliptic curves ⋮ Fields generated by torsion points of elliptic curves ⋮ Local-global questions for divisibility in commutative algebraic groups ⋮ Locally indecomposable Galois representations with full residual image

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• 3-Selmer groups for curves y 2 = x 3 + a
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