Vanishing of L-functions of elliptic curves over number fields

Chantal David, Jack Fearnley, Hershy Kisilevsky

Let $E$ be an elliptic curve over $\mathbb{Q}$, with L-function $L_E(s)$. For any primitive Dirichlet character $\chi$, let $L_E(s,\chi )$ be the L-function of $E$ twisted by $\chi$. In thi…