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arXiv · 1706.09842

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

Walter Wyss
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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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Walter Wyss. 2017-06-23. On Rational Points on the Elliptic Curve E(q) : p2 + q2 = r2(1 + p2q2). https://arxiv.org/abs/1706.09842

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