Torsion groups of elliptic curves over quadratic fields

DOI10.1090/conm/732/14802zbMath1471.11189OpenAlexW2955817224MaRDI QIDQ5241844

Antonela Trbović

Publication date: 4 November 2019

Published in: Automorphic Forms and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/732/14802

zbMATH Keywords

elliptic curvesreal quadratic fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Uses Software

• Magma

Cites Work

• A criterion to rule out torsion groups for elliptic curves over number fields
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• The Magma algebra system. I: The user language
• Torsion points on elliptic curves and \(q\)-coefficients of modular forms
• Implementing 2-descent for Jacobians of hyperelliptic curves
• Torsion groups of elliptic curves over quadratic fields
• Torsion points on elliptic curves defined over quadratic fields
• Torsion groups of elliptic curves over quadratic fields $\mathbb{Q}(\sqrt{d})$, $0 \lt d \lt 100$

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