$L$-derivatives of the fixed elliptic curve over rank-one imaginary quadratic fields

Abstract

There is a one-sided central limit theorem for the logarithms of $L$-derivatives of a fixed rational non-CM elliptic curve $E$ over imaginary quadratic fields of rank one, analogous to a result of Radziwiłł and Soundararajan. There are also many $L$-derivatives that are not small.

A correct version for $L$-derivatives