论文标题
泰特 - 沙塔法尔维奇（Tate-Shafarevich
Tate-Shafarevich groups of elliptic curves with nontrivial 2-torsion subgroups
论文作者
论文摘要
对于任何数字字段，我们证明存在在该字段上定义的椭圆曲线，以使其Shafarevich-Tate组具有非平凡的2个Torsion子组。
For any number field, we prove that there exists an elliptic curve defined over this field such that its Shafarevich-Tate group has a nontrivial 2-torsion subgroup.
