Elliptic curves of rank one over number fields
Number Theory
2025-05-23 v1
Abstract
We prove that for every number field , there exist infinitely many elliptic curves over with rank exactly equal to 1.
Cite
@article{arxiv.2505.16910,
title = {Elliptic curves of rank one over number fields},
author = {Peter Koymans and Carlo Pagano},
journal= {arXiv preprint arXiv:2505.16910},
year = {2025}
}