Elliptic curves of rank one over number fields

2025/05/22 by Peter Koymans, Carlo Pagano, Koymans, Peter +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2505.16910

openalex publication_date 2025/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that for every number field K, there exist infinitely many elliptic curves E over K with rank exactly equal to 1.

Cited by

• Constructing Jacobians of rank 1

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