Torsion points on elliptic curves over a global field

DOI10.1007/BF01303623zbMath0423.14023OpenAlexW2002739167MaRDI QIDQ1134194

Horst G. Zimmer

Publication date: 1979

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154656

zbMATH Keywords

elliptic curveglobal fieldrational torsion points

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Global ground fields in algebraic geometry (14G25)

Cites Work

• Torsion points on elliptic curves with given j-invariant
• Some remarks concerning points of finite order on elliptic curves over global fields
• Points of finite order on elliptic curves over number fields
• Die Néron-Tate'schen quadratischen Formen auf der rationalen Punktgruppe einer elliptischen Kurve
• Die Typen der Multiplikatorenringe elliptischer Funktionenkörper
• Ein Analogon des Satzes von Nagell-Lutz über die Torsion einer elliptischen Kurve.
• Sur l'équation y² = x³ - Ax - B dans les corps p-adiques.
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