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A Note on x2–y2=4n

✍ Scribed by Donald R. Byrkit


Book ID
114974274
Publisher
School Science and Mathematics Association
Year
1970
Tongue
English
Weight
76 KB
Volume
70
Category
Article
ISSN
0036-6803

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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