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Algebraic Geometry and Number TheoryGeometry and complex manifoldsGeometric Analysis and Curvature Flows

A note on rank zero quadratic twists of a Mordell curve

Ankur Chutia, Azizul Hoque, J. Kalita

2026.2.16CZECHOSLOVAK MATHEMATICAL JOURNAL

DOI: 10.21136/cmj.2026.0112-25

Abstract

summary: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.

Citation format

CHUTIA, Ankur; HOQUE, Azizul; KALITA, J. A note on rank zero quadratic twists of a mordell curve. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2026, 76(1): 75–85.