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On certain families of elliptic curves in projective space

โœ Scribed by Igor V. Dolgachev


Publisher
Springer
Year
2004
Tongue
English
Weight
289 KB
Volume
183
Category
Article
ISSN
0373-3114

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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