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research article
Height of rational points on quadratic twists of a given elliptic curve
We formulate a conjecture about the distribution of the canonical height of the lowest non-torsion rational point on a quadratic twist of a given elliptic curve, as the twist varies. This conjecture seems to be very deep and we can prove only partial results in this direction.
Type
research article
Web of Science ID
WOS:000370204200011
Authors
Publication date
2016
Publisher
Published in
Volume
48
Start page
99
End page
108
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 1, 2016
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