2 papers
math.NT2021
Heights of Rational Points on Mordell Curves
Alan Zhao
We conjecture a lower bound for the minimal canonical height of non-torsion rational points on a natural density 1 subset of the sextic twist family of Mordell curves. We then esta…
math.NT2020
The Frequency of Elliptic Curves Over with Fixed Torsion
Alan Zhao
Mazur's Theorem states that there are precisely 15 possibilities for the torsion subgroup of an elliptic curve defined over the rational numbers. It was previously shown by Harron…