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Constructing one-parameter families of elliptic curves with moderate rank

✍ Scribed by Scott Arms; Álvaro Lozano-Robledo; Steven J. Miller

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
175 KB
Volume
123
Category
Article
ISSN
0022-314X

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✍ Hizuru Yamagishi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 92 KB

We construct an elliptic curve defined over Q with Mordell᎐Weil rank G 6 as a generic twist by a certain quadratic extension. Moreover, since they have four independent parameters, they give us rather a large supply of elliptic curves defined over Q with rank G 6. As an application, we find infinite