Yoshida lifts and Selmer groups

Siegfried Böcherer, Neil Dummigan, Rainer Schulze-Pillot

Let $f$ and $g$, of weights $k^{\prime }>k\ge 2$, be normalised newforms for ${\Gamma }_0(N)$, for square-free $N>1$, such that, for each Atkin-Lehner involution, the eigenvalues of $f$ and $g$ ar…