2019•arXiv (Cornell University)Open access

A note on rank zero quadratic twists of a Mordell curve

Chutia, Ankurjyoti, Azizul Hoque, Jyotishman Kalita

Abstract

We produce two families of rank zero quadratic twists of the Mordell curve $y^2=x^3+2$. At the end, we give numerical examples supporting the result.

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About this research paper

We produce two families of rank zero quadratic twists of the Mordell curve $y^2=x^3+2$. At the end, we give numerical examples supporting the result.

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We produce two families of rank zero quadratic twists of the Mordell curve $y^2=x^3+2$. At the end, we give numerical examples supporting the result.

Key concepts: Zero (linguistics), Rank (graph theory), Quadratic equation, Mathematics, Elliptic curve, Combinatorics, Pure mathematics, Geometry