Mordell–Weil Ranks of Quadratic Twists o
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Gwynneth Coogan; Jorge Jimenéz-Urroz
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Article
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2002
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Elsevier Science
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English
⚖ 146 KB
Motivated by a conjecture of Mazur, Kuwata and Wang proved that for elliptic curves E 1 and E 2 whose j-invariants are not simultaneously 0 or 1728, there exist infinitely many square-free integers d for which the rank of the Mordell-Weil group of the d-quadratic twists of E 1 and E 2 satisfy: rkðE