Generation of Hecke fields by squares of cyclotomic twists of modular $L$-values

Valentin Blomer, Ashay Burungale, Philippe Michel +1

Let $f$ be a non-CM elliptic newform without a quadratic inner twist, $p$ an odd prime and $\ddot{I}‡$ a Dirichlet character of $p$-power order and sufficiently large $p$-power conductor.…