Low Degree Places on the Modular Curve X1(N)

Abstract

This short note gives questions and examples of points on X1(N) defined over number fields whose degrees are lower than the gonality.

3 pages (Feb 2012) Added a 4'th page with a table for N <= 60 (Aug 2013). Added a 5'th page with a table for N <= 80 (June 2014)

Cited by in corpus (3)

• Sporadic Cubic Torsion
• Growth of torsion groups of elliptic curves upon base change
• Anatomy of torsion in the CM case