Torsion points on elliptic curves

DOI10.1090/S0273-0979-1990-15935-XzbMath0714.11033MaRDI QIDQ3199493

Sheldon Kamienny

Publication date: 1990

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

modular formelliptic curvesymmetric squarerational torsion pointq-expansion

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (6)

On Poonen's conjecture concerning rational preperiodic points of quadratic maps ⋮ Class-invariants: examples of higher-dimensional nonvanishing ⋮ Periods of Cusp Forms and Elliptic Curves Over Imaginary Quadratic Fields ⋮ Torsion points on elliptic curves and \(q\)-coefficients of modular forms ⋮ Curves of genus 2 with a rational torsion divisor of order 23 ⋮ Diophantine analysis and torsion on elliptic curves

Cites Work

• Unnamed Item
• On the torsion subgroups of elliptic curves over toally real fields
• Torsion points on elliptic curves over all quadratic fields
• The arithmetic of elliptic curves
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Modular curves and the Eisenstein ideal
• Torsion points on elliptic curves and \(q\)-coefficients of modular forms
• Rational points of finite order on elliptic curves
• Torsion points on elliptic curves over all quadratic fields. II
• Introduction to Algebraic K-Theory. (AM-72)

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