A parametrised family of Mordell curves
classification
🧮 math.NT
keywords
mordellcurvecurvesfamilymathbbparametrisedwhosecalled
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An elliptic curve defined by an equation of the type $y^2=x^3+d$ is called a Mordell curve. We obtain a parametrised family of Mordell curves whose rank, in general, is at least three, and whose torsion group is $\mathbb{Z}/3\mathbb{Z}$.
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