Heavenly elliptic curves over quadratic fields

Cam McLeman, Christopher Rasmussen

An abelian variety $A/K$ is heavenly at $\ell$ if the extension $K(A[{\ell }^{\infty }])/K({\mu }_{{\ell }^{\infty }})$ is both pro-$\ell$ and unramified away from $\ell$. It is known that for…