## 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.

Published in:
Bulletin Of The London Mathematical Society, 48, 99-108
Year:
2016
Publisher:
Oxford, Oxford Univ Press
ISSN:
0024-6093
Laboratories: