A generalization of a result of Hurwitz and Mordell on the torsion subgroups of certain elliptic curves

DOI10.1216/rmjm/1181072796zbMath0756.14022OpenAlexW1981537256MaRDI QIDQ1193044

Chris K. Caldwell

Publication date: 27 September 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072796

zbMATH Keywords

elliptic curveheight functionnumber of torsion points

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Global ground fields in algebraic geometry (14G25)

Cites Work

• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• Diophantine equations arising from cubic number fields
• On some classes of homogeneous ternary cubic Diophantine equations
• The Diophantine equation \(ax^3+by^3+cz^3=0\)
• The Diophantine equation \(ax^3+by^3+cz^3=0\). Completion of the tables
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