Explicit classification for torsion subgroups of rational points of elliptic curves.

DOI10.1007/s10114-002-0182-xzbMath1053.11051arXivmath/9809207OpenAlexW2964349185MaRDI QIDQ1862915

Derong Qiu, Xianke Zhang

Publication date: 9 April 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809207

zbMATH Keywords

elliptic curvetorsion groupfield of rational numbersgenerator (basis point)short Weierstraß\ form

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05)

Related Items (4)

A complete Diophantine characterization of the rational torsion of an elliptic curve ⋮ Minimal models of rational elliptic curves with non-trivial torsion ⋮ Torsion subgroups of elliptic curves in elementary abelian 2-extensions of \(\mathbb Q\) ⋮ The 2-primary torsion on elliptic curves in the \(\mathbb Z_p\)-extensions of \(\mathbb Q\)

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