One-level densities in families of Grössencharakters associated to CM elliptic curves

Chantal David, Lucile Devin, Ezra Waxman

We study the low-lying zeros of a family of $L$-functions attached to the CM elliptic curve $E_d:y^2=x^3-dx$, for each odd and square-free integer $d$. Specifically, upon…