Uniform Bounds for Integral Points on Families of Elliptic Curves

✍ Scribed by Lisa A. Fastenberg

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 99 KB
Volume: 92
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2001.2710

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Indivisible Points on Families of Ellipt

Indivisible Points on Families of Elliptic Curves

✍ Rajiv Gupta; Keith Ramsay 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 376 KB

In this paper we consider families of elliptic curves E n over Q arising as twists. Given rational points P n on E n , we ask how often P n is indivisible in the group of rational points of E n , as n varies over the positive integers. We prove, following the method of Silverman for families with no