Thue equations and torsion groups of elliptic curves
Irene Garcia-Selfa, Jose M. Tornero

TL;DR
This paper introduces a novel way to identify rational torsion subgroups of elliptic curves with points of order greater than 4 by linking them to solutions of Thue equations.
Contribution
It provides a new characterization of torsion subgroups of elliptic curves using solutions to systems of Thue equations for points of order greater than 4.
Findings
Characterization of torsion subgroups via Thue equations
Connection between elliptic curve torsion points and Diophantine equations
New method for analyzing elliptic curve torsion structures
Abstract
A new characterization of rational torsion subgroups of elliptic curves is found, for points of order greater than 4, through the existence of solution for systems of Thue equations.
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