On the torsion of rational elliptic curves over sextic fields

Harris B. Daniels, Enrique González-Jiménez

Given an elliptic curve $E/\mathbb{Q}$ with torsion subgroup $G=E(\mathbb{Q}{)}_{\mathrm{tors}}$ we study what groups (up to isomorphism) can occur as the torsion subgroup of $E$ base-e…