# Torsion of elliptic curves and unlikely intersections

## TL;DR

This paper investigates the unlikely intersections involving torsion points on elliptic curves and their images on the projective line, providing effective bounds and insights into their distribution.

## Contribution

It introduces effective methods to analyze unlikely intersections of torsion points on elliptic curves with their images on the projective line.

## Key findings

- Derived explicit bounds for intersections
- Identified conditions for finiteness of intersections
- Enhanced understanding of torsion point distributions

## Abstract

We study effective versions of unlikely intersections of images of torsion points of elliptic curves on the projective line.