A note on rank zero quadratic twists of a Mordell curve

2019/04/03 by Chutia, Ankurjyoti, Azizul Hoque, Hoque, Azizul +2
Computer Science · Mathematics · #11G05 #11G40 #11R29 #14G05 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1904.02073

openalex publication_date 2019/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We produce two families of rank zero quadratic twists of the Mordell curve y²=x³+2. At the end, we give numerical examples supporting the result.

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