On the torsion subgroups of elliptic curves over toally real fields

DOI10.1007/BF01394421zbMath0585.14023MaRDI QIDQ1071080

Sheldon Kamienny

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143326

zbMATH Keywords

torsion subgroupelliptic curverational pointbase changetotally real fieldG-curve

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25) Totally real fields (11R80)

Related Items (4)

Torsion points on elliptic curves ⋮ p-torsion in elliptic curves over subfields of \({\mathbb Q}(\mu _ p)\) ⋮ Torsion points on elliptic curves and \(q\)-coefficients of modular forms ⋮ On rational torsion points of central \(\mathbb Q\)-curves

Cites Work

• Torsion points on elliptic curves over all quadratic fields
• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• Points of order \(p\) on elliptic curves over \(\mathbb Q(\sqrt p)\)
• Modular curves and the Eisenstein ideal
• Good reduction of abelian varieties
• Schémas en groupes de type $(p,\ldots,p)$
• Les Schémas de Modules de Courbes Elliptiques
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