Torsion groups of elliptic curves over the ${\mathbb{Z}}_p$-extensions of $\mathbb{Q}$

Michael Chou, Harris B. Daniels, Ivan Krijan +1

We determine, for an elliptic curve $E/\mathbb{Q}$ and for all $p$, all the possible torsion groups $E({\mathbb{Q}}_{\infty ,p}{)}_{tors}$, where ${\mathbb{Q}}_{\infty ,p}$ is the $\mathbb…