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Torsion points on families of products of elliptic curves

โœ Scribed by Masser, D.; Zannier, U.


Book ID
125443308
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
333 KB
Volume
259
Category
Article
ISSN
0001-8708

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Indivisible Points on Families of Ellipt
โœ Rajiv Gupta; Keith Ramsay ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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