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math.NT2014★ 22 cited
A majority of elliptic curves over satisfy the Birch and Swinnerton-Dyer conjecture
Manjul Bhargava, Christopher Skinner, Wei Zhang
We prove that a majority (in fact, ) of all elliptic curves over , when ordered by height, satisfy the Birch and Swinnerton-Dyer rank conjecture.
math.NT2014★ 28 cited
Indivisibility of Heegner points in the multiplicative case
Christopher Skinner, Wei Zhang
For certain elliptic curves over with multiplicative reduction at a prime , we prove the -indivisibility of the derived Heegner classes defined with re…