An Asymptotic formula for Tate-Shafarevich groups of CM elliptic curves at supersingular primes

Katharina Müller

Let $K$ be an imaginary quadratic field and $E/\mathbb{Q}$ an elliptic curves with complex multiplication by ${\mathcal{O}}_K$. Let $K_{\infty }/K$ be the anticyclotomic ${\mathbb{Z}}_p$-…