Experimental Evidence on a Refined Conjecture of the BSD type

Francisco X. Portillo-Bobadilla

Experimental Evidence on a Refined Conjecture of the BSD type

Number Theory 2017-09-06 v1

Authors: Francisco X. Portillo-Bobadilla

Abstract

Let $E/\mathbb{Q}$ be an elliptic curve of level $N$ and rank equal to $1$ . Let $p$ be a prime of ordinary reduction. We experimentally study conjecture $4$ of B. Mazur and J. Tate in his article "Refined Conjectures of the Birch and Swinnerton-Dyer Type". We report the computational evidence.

Keywords

Birch and Swinnerton-Dyer conjecture elliptic curve ordinary reduction Mazur-Tate refined conjecture computational evidence rank one

Cite

@article{arxiv.1709.01204,
  title  = {Experimental Evidence on a Refined Conjecture of the BSD type},
  author = {Francisco X. Portillo-Bobadilla},
  journal= {arXiv preprint arXiv:1709.01204},
  year   = {2017}
}

Related papers

View all related →