Congruent number elliptic curves with rank at least two

2018/09/06 by Lorenz Halbeısen, Halbeisen, Lorenz, Norbert Hungerbühler +1
Mathematics · Social Sciences · #11D09 #11G05 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.1809.02037

openalex publication_date 2018/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an infinite family of congruent number elliptic curves, each with rank at least two, which are related to integral solutions of m²=n²+nl+l².

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