The image of the adelic Galois representation of an elliptic curve with complex multiplication

Álvaro Lozano-Robledo, Benjamin York

Let $E/\mathbb{Q}$ be an elliptic curve and let ${\rho }_E:\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})\to \mathrm{GL}(2,\hat{\mathbb{Z}})$ be the adelic Galoi…