p-Torsion points on elliptic curves defined over quadratic fields

DOI10.1017/S0027763000021206zbMath0578.14021OpenAlexW4246320741MaRDI QIDQ3699827

Fumiyuki Momose

Publication date: 1984

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000021206

zbMATH Keywords

quadratic number fieldmodular curvebound for order of group of p-torsion points

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25)

Related Items (8)

Splitting of primes in number fields generated by points on some modular curves ⋮ Unnamed Item ⋮ Torsion of elliptic curves over cubic fields ⋮ Torsion points on elliptic curves defined over quadratic fields ⋮ Rational families of 17-torsion points of elliptic curves over number fields ⋮ Sporadic cubic torsion ⋮ Unnamed Item ⋮ Torsion des courbes elliptiques sur les corps cubiques. (Torsion of elliptic curves over cubic fields)

Cites Work

• Points rationnels de la courbe modulaire \(X_0(169)\)
• Endomorphisms of semi-stable Abelian varieties over number fields
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Modular curves and the Eisenstein ideal
• Arithmetic of Weil curves
• Diophantine equations and modular forms
• A table of Hecke operators, II
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields
• PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES
• Points of order 13 on elliptic curves

This page was built for publication: p-Torsion points on elliptic curves defined over quadratic fields