$L$-series values for sextic twists of elliptic curves over $\mathbb{Q}[\sqrt{-3}]$

Eugenia Rosu

We prove a new formula for the central value of the $L$-function $L(E_{D,\alpha },1)$ corresponding to the family of sextic twists over $\mathbb{Q}[\sqrt{-3}]$ of elliptic curves $E_{D…