On The Rank Of Congruent Elliptic Curves

2017/01/08 by Farzali Izadi, Izadi, Farzali, Hamid Reza Abdolmaleki +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1701.02686

openalex publication_date 2017/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, p and q are two different odd primes. First, We construct the congruent elliptic curves corresponding to p, 2p, pq, and 2pq, then, in the cases of congruent numbers, we determine the rank of the corresponding congruent elliptic curves.

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