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The Diophantine Equations x2± y4=±z6 and x2+y8= z3

✍ Scribed by Nils Bruin


Book ID
111524334
Publisher
Cambridge University Press
Year
1999
Tongue
English
Weight
128 KB
Volume
118
Category
Article
ISSN
0010-437X

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📜 SIMILAR VOLUMES


On the Equation x4 + mx2y2 + y4 = z2
✍ A. Bremner; J.W. Jones 📂 Article 📅 1995 🏛 Elsevier Science 🌐 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