Elliptic curves with torsion groups $\mathbb{Z}/8\mathbb{Z}$ and $\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/6\mathbb{Z}$

Andrej Dujella, Matija Kazalicki, Juan Carlos Peral

In this paper, we present details of seven elliptic curves over $\mathbb{Q}(u)$ with rank $2$ and torsion group $\mathbb{Z}/8\mathbb{Z}$ and five curves over $\mathbb{Q}(u)$ with…