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<p>We produce two families of rank zero quadratic twists of the Mordell curve <i>y</i><sup>2</sup> = <i>x</i><sup>3</sup> + 2. At the end, we give numerical examples supporting the result.</p>

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A note on rank zero quadratic twists of a Mordell curve

  • 期刊论文

  • 发表日期：

    2026年2月16日

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  • Ankurjyoti Chutia,
  • Azizul Hoque,
  • Jyotishman Kalita

摘要

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.