On The Birch and Swinnerton-Dyer Conjecture for CM Elliptic Curves over   $\BQ$
  For CM elliptic curve over rational field with analytic rank one, for any potential good ordinary prime p, not dividing the number of roots of unity in the complex multiplication field, we show the p-part of its Shafarevich-Tate group has order predicted by the Birch and Swinnerton-Dyer conjecture. 
Yongxiong Li, Yu Liu and Ye Tian
math.NT