On the Equation x4 + mx2y2 + y4 = z2
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A. Bremner; J.W. Jones
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Article
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1995
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Elsevier Science
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English
⚖ 878 KB
A structure theorem on the Mordell-Weil group of abelian varieties which arise as the twists associated with various double covers of varieties is proved. As an application, a three-parameter family of elliptic curves whose generic Mordell-Weil rank is four is constructed. * 1995 Academic Press. Inc