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arXiv · 1407.1826

A majority of elliptic curves over $\mathbb Q$ satisfy the Birch and Swinnerton-Dyer conjecture

Manjul Bhargava·Christopher Skinner·Wei Zhang
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Abstract

We prove that a majority (in fact, $>66\%$) of all elliptic curves over $\mathbb Q$, when ordered by height, satisfy the Birch and Swinnerton-Dyer rank conjecture.

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Manjul Bhargava, Christopher Skinner, Wei Zhang. 2014-07-17. A majority of elliptic curves over $\mathbb Q$ satisfy the Birch and Swinnerton-Dyer conjecture. https://arxiv.org/abs/1407.1826

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