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Torsion points on families of squares of elliptic curves

โœ Scribed by D. Masser; U. Zannier


Publisher
Springer
Year
2011
Tongue
English
Weight
368 KB
Volume
352
Category
Article
ISSN
0025-5831

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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