Minimal Torsion in Isogeny Classes of Elliptic Curves

DOI10.2307/2154714zbMath0813.14021OpenAlexW4245658598MaRDI QIDQ4305922

Raymond Ross

Publication date: 12 October 1994

Full work available at URL: https://doi.org/10.2307/2154714

zbMATH Keywords

elliptic curveisogeny classnumber of torsion pointsminimal torsion

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Isogeny (14K02)

Related Items (4)

Usco selections of densely defined set-valued mappings ⋮ Torsion points and isogenies on CM elliptic curves ⋮ Unnamed Item ⋮ Torsion points and Galois representations on CM elliptic curves

Cites Work

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• Galois properties of torsion points on abelian varieties
• Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 -- August 3, 1972
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Torsion points on elliptic curves and \(q\)-coefficients of modular forms
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Problèmes arithmétique et géométriques rattachés à la notion de rang d'une courbe algébrique dans un corps

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