Torsion of rational elliptic curves over quadratic fields

Abstract

Let E be an elliptic curve defined over Q. We study the relationship between the torsion subgroup E(Q)_tors and the torsion subgroup E(K)_tors, where K is a quadratic number field.

Cited by in corpus (2)

• Squares in arithmetic progression over certain non-primitive quartic number fields
• Growth of Odd Torsion Over Imaginary Quadratic Fields of Class Number 1