The average number of torsion points on elliptic curves

DOI10.1016/J.JNT.2013.08.004zbMath1373.11047OpenAlexW2031273151MaRDI QIDQ2406721

Hsiu-Lien Huang

Publication date: 5 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.08.004

zbMATH Keywords

elliptic curvesnumber fieldstorsion pointsGrössencharacterselliptic curves with CM

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15)

Related Items (2)

The average number of torsion points on elliptic curves ⋮ On the moments of torsion points modulo primes and their applications

Cites Work

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• Division fields of \(Y^ 2=X^ 3-aX\)
• The average number of torsion points on elliptic curves
• Galois properties of points of finite order of elliptic curves
• Complex Representations of 𝐺𝐿(2,𝐾) for Finite Fields 𝐾
• On a theorem of Jordan

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