Some Abelian Varieties with Visible Shafarevich-Tate Groups

Some Abelian Varieties with Visible Shafarevich-Tate Groups

W.A. Stein

We give examples of abelian variety quotients of the modular
jacobian J_{0}(N) with nontrivial visible Shafarevich-Tate groups.
In computing these
examples we developed formulas for invariants of higher
dimensional modular abelian varieties.