On Rational Points on the Elliptic Curve E(q) : p2 + q2 = r2(1 + p2q2)

2017/06/23 by Walter Wyss, Wyss, Walter
Arts and Humanities · Mathematics · Social Sciences · #11-XX #14H52 #Algebraic Geometry and Number Theory #FOS: Mathematics #General Mathematics (math.GM) #Historical Studies and Socio-cultural Analysis #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.1706.09842

openalex publication_date 2017/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We look at the elliptic curve E(q), where q is a fixed rational number. A point (p,r) on E(q) is called a rational point if both p and r are rational numbers. We introduce the concept of conjugate points and show that not both can be rational points.

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