Torsion of rational elliptic curves over different types of cubic fields

DOI10.1142/S1793042120500682zbMath1505.11087arXiv1912.07159OpenAlexW2995756929MaRDI QIDQ3295473

Andreas Schweizer, Daeyeol Jeon

Publication date: 10 July 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07159

zbMATH Keywords

torsion subgroupelliptic curvemodular curvecubic field

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (1)

Tamagawa numbers of elliptic curves with prescribed torsion subgroup or isogeny

Uses Software

• LMFDB
• ecdata

Cites Work

• Unnamed Item
• Elliptic curves with abelian division fields
• Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields
• Torsion of rational elliptic curves over cubic fields
• Torsion of rational elliptic curves over cubic fields and sporadic points on \(X_1(n)\)
• Modular curves and the Eisenstein ideal
• Families of elliptic curves over cyclic cubic number fields with prescribed torsion
• Families of elliptic curves over cubic number fields with prescribed torsion subgroups
• On the Modular Curves X ₀ (125), X ₁ (25), X ₁ (49)
• Universal Bounds on the Torsion of Elliptic Curves
• Fields of definition of elliptic curves with prescribed torsion
• On the torsion of elliptic curves over cubic number fields
• Torsion of elliptic curves over cyclic cubic fields
• Constructing elliptic curves over finite fields with prescribed torsion

This page was built for publication: Torsion of rational elliptic curves over different types of cubic fields