Le Boudec, Pierre2016-04-012016-04-012016-04-01201610.1112/blms/bdv068https://infoscience.epfl.ch/handle/20.500.14299/125387WOS:000370204200011We 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.text::journal::journal article::research article