On the \(\mathrm{PGL}_2\)-invariant quadruples of torsion points of elliptic curves

DOI10.1007/S40879-019-00377-WzbMath1470.14063arXiv1902.08801OpenAlexW3122988727MaRDI QIDQ2663780

Hang Fu, Fedor A. Bogomolov

Publication date: 20 April 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.08801

zbMATH Keywords

\(q\)-serieselliptic curvesmodular curvescongruence subgroupstorsion points

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Elliptic curves over global fields (11G05) Modular and automorphic functions (11F03) Elliptic curves (14H52) Convergence and divergence of infinite products (40A20)

Uses Software

• Mathematica

Cites Work

• Division polynomials and intersection of projective torsion points
• Elliptic curves with large intersection of projective torsion points
• Uniform Manin-Mumford for a family of genus 2 curves
• Torsion of elliptic curves and unlikely intersections
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