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Rank zero quadratic twists of $y^2 = x^3 + 2$ (1904.02073v1)
Published 3 Apr 2019 in math.NT
Abstract: We produce two families of rank zero quadratic twists of the elliptic curve $E:~y2=x3+2$. Moreover, we prove that there are infinitely many members with rank zero in each of these families.
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