Sutherland–Zywina conjecture on mod-p images of elliptic curves

Let $E/\mathbb Q$ be an elliptic curve, let $p$ be a prime, and let $G\subseteq \operatorname{GL}(2,\mathbb Z/p\mathbb Z)$ be the image of the mod-$p$ Galois representation $\rho_{E,p}$. Sutherland–Zywina conjecture. There are precisely $63$ isomorphism types of images $G$. This conjecture predicts a finite classification of the possible mod-$p$ Galois images attached to elliptic curves over $\mathbb Q$, complementing the classification of $2$-adic images and the broader results on adelic Galois representations. The supplied text does not state whether the conjecture has been resolved.