Division Polynomials and Intersection of Projective Torsion Points

Abstract

Given two elliptic curves, each of which is associated with a projection map that identifies opposite elements with respect to the natural group structure, we investigate how their corresponding projective images of torsion points intersect.

Cited by in corpus (4)

• Elliptic curves with common torsion $x$-coordinates and hyperelliptic torsion packets
• Elliptic Curves with Large Intersection of Projective Torsion Points
• Intersecting the torsion of elliptic curves
• On the ${\text{PGL}}_2$-invariant quadruples of torsion points of elliptic curves