Koblitz's conjecture for abelian varieties

Let $A/\mathbb{Q}$ be an abelian variety satisfying the hypothesis $(\operatorname{Triv}_A)$, and suppose that $C_A\neq 0$. Koblitz's conjecture for abelian varieties.

$$\#\{p\leq x\Bigm| \#A_p(\mathbb{F}_p)\text{ is prime}\}\asymp_A\frac{x}{(\log x)^2}.$$

In particular, if $A$ is generic, then

$$\#\{p\leq x\Bigm| \#A_p(\mathbb{F}_p)\text{ is prime}\}\sim C_A\frac{x}{g(\log x)^2}.$$

This extends Koblitz's prediction from elliptic curves to higher-dimensional abelian varieties; the supplied text gives no resolution status.