Elliptic curves with torsion group $\mathbb{Z}/6\mathbb{Z}$

A. Dujella, J. C. Peral, P. Tadić

We exhibit several families of elliptic curves with torsion group isomorphic to $\mathbb{Z}/6\mathbb{Z}$ and generic rank at least $3$. Families of this kind have been constructed previously by s…