2 papers
math.NT2020
Average rank of quadratic twists with a rational point of almost minimal height
Joachim Petit
Given a family of quadratic twists of a fixed elliptic curve defined over , we investigate the average rank in the subfamily of twists having a nontorsion rational poin…
math.NT2020
On the number of quadratic twists with a rational point of almost minimal height
Joachim Petit
We investigate the number of curves having a rational point of almost minimal height in the family of quadratic twists of a given elliptic curve. This problem takes its origin in t…