Publication

Height of rational points on quadratic twists of a given elliptic curve

Pierre Francis André Le Boudec
2016
Journal Articles

Abstract

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.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Height of rational points on quadratic twists of a given elliptic curve

Chat with Graph Search

Some Mordell-Weil lattices and applications to sphere packings

Rational Points in the Noether-Lefschetz Locus of Moduli Spaces of K3 Surfaces

Exploring SIDH-Based Signature Parameters