Points of order 13 on elliptic curves

DOI10.7169/facm/1666zbMath1440.11095arXiv1608.08672OpenAlexW2964120463MaRDI QIDQ5915711

Burton Newman, Sheldon Kamienny

Publication date: 24 August 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.08672

zbMATH Keywords

elliptic curvesmodular curvestorsion subgroups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (1)

Tamagawa Numbers of elliptic curves with 𝐶₁₃ torsion over quadratic fields

Uses Software

• LMFDB

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modular elliptic curves over real abelian fields and the generalized Fermat equation \(x^{2\ell}+y^{2m}=z^p\)
• Torsion of rational elliptic curves over cubic fields and sporadic points on \(X_1(n)\)
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Bounds for the torsion of elliptic curves over number fields
• Torsion points of elliptic curves with good reduction
• Ranks of Elliptic Curves with Prescribed Torsion over Number Fields
• Rational families of 17-torsion points of elliptic curves over number fields
• The Gross-Zagier Formula on Shimura Curves
• Points of order 13 on elliptic curves
• Heights of Heegner points on Shimura curves.

This page was built for publication: Points of order 13 on elliptic curves