A geometric approach to elliptic curves with torsion groups Z/10Z, Z/12Z, Z/14Z, and Z/16Z

DOI10.21857/ydkx2coje9zbMath1524.11118arXiv2106.06861OpenAlexW4387891390MaRDI QIDQ6065721

Unnamed Author, Norbert Hungerbühler, Lorenz Halbeisen, Arman Shamsi Zargar

Publication date: 15 November 2023

Published in: Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.06861

zbMATH Keywords

elliptic curverankquadratic fieldtorsion groupparametrisation

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items

An elliptic curve over Q(u) with torsion Z/4Z and rank 6, High-rank elliptic curves with given torsion group and some applications

Cites Work

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• High rank elliptic curves with prescribed torsion group over quadratic fields
• Constructing cubic curves with involutions
• Structure de torsion des courbes elliptiques sur les corps quadratiques
• Speeding the Pollard and Elliptic Curve Methods of Factorization
• Universal Bounds on the Torsion of Elliptic Curves
• Families of elliptic curves of high rank with nontrivial torsion group over Q