The verepresentability and Torelli conjecture for Example (E8)

Let $X$ and $Y$ be schemes as in Example (E8), and let $J(X)$ and $J(Y)$ denote their intermediate Jacobians. The E8 verepresentability and Torelli conjecture. The scheme $Y$ is verepresentable and

$$J(Y)\simeq J(X)$$

as principally polarized abelian varieties. The conjecture is motivated by the preceding theorems, and the supplied text gives no resolution status.