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One Integer Point on Some Elliptic Curve to Have Rank 1

Safwan Aouira, Hasan Sankari, Ahmad Abdo

Source record

Source: Crossref

Published: Oct 30, 2026

DOI: 10.54105/ijam.a1245.06010426

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Source abstract

Walsh proved a necessary condition for some curves of the form y2=x3-px, with p is a prime, to have Mordell - Weil rank 1. In this paper, we extend Walshs result to show that some curves have Mordell-Weil rank 1.

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One Integer Point on Some Elliptic Curve to Have Rank 1 — Mathematical Frontier Network