Schneider's rank conjecture for Selmer groups over p-adic Lie extensions

Let $A$ be an abelian variety over a finite extension $F$ of $\mathbb Q$, let $p>2\dim(A)+1$ be prime, let $F_\infty=F(A_{p^\infty})$, and put $\Sigma=\operatorname{Gal}(F_\infty/F)$. Let $R$ be the relevant closed subgroup of $\Sigma$, let $E$ be an elliptic curve over $F$, let $\Lambda(R)$ be the Iwasawa algebra of $R$, and let $\tau_p(E/F)$ denote the quantity defined in the source. Write $\mathcal C(E/F_\infty)$ for the Pontryagin dual of $\operatorname{Sel}(E/F_\infty)$. Schneider's rank conjecture. One has

$$\operatorname{rk}_{\Lambda(R)}\mathcal C(E/F_\infty)=[\Sigma:R]\tau_p(E/F).$$

The equality is presented as a natural generalisation of a conjecture in Schneider. The preceding corollary gives only the corresponding upper and lower bounds, so the asserted equality remains open in the source.