Growth of Odd Torsion Over Imaginary Quadratic Fields of Class Number 1

Irmak Balçık

Let $K$ be a non-cylotomic imaginary quadratic field of class number 1 and $E/K$ is an elliptic curve with $E(K)[2]\simeq {\mathbb{Z}}_1.$ We determine the odd-order torsion groups t…