Xin WanMorningside Center of Mathematics, Chinese Acadey of Sciences
Number Theorymathscidoc:1703.24004
In this paper we prove the \pm-main conjecture formulated by Kobayashi for elliptic curves with supersingular reduction at p such that a_p = 0. We also prove as a corollary the p-part of the BSD formula at supersingular primes when the analytic rank is 0.