V. Gonzalez-aguilera et Re. Rodriguez, Families of irreducible principally polarized abelian varieties isomorphicto a product of elliptic curves, P AM MATH S, 128(3), 2000, pp. 629-636
For each n greater than or equal to two, we give a family of n-dimensional,
irreducible principally polarized abelian varieties isomorphic to a produc
t of elliptic curves. This family corresponds to the modular curve X-0(n 1).