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A Uniform Bound for Rational Points on Twists of a Given Curve

โœ Scribed by Silverman, J. H.


Book ID
120094920
Publisher
Oxford University Press
Year
1993
Tongue
English
Weight
207 KB
Volume
s2-47
Category
Article
ISSN
0024-6107

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Uniform bounds on the number of rational
โœ L. Kulesz; G. Matera; E. Schost ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 357 KB

We exhibit a genus-2 curve C defined over QรฐTรž which admits two independent morphisms to a rank-1 elliptic curve defined over QรฐTรž: We describe completely the set of QรฐTรž-rational points of the curve C and obtain a uniform bound on the number of Q-rational points of a rational specialization C t of