p-adic heights of Heegner points and Λ-adic regulators

@article{Balakrishnan2015padicHO,
title={p-adic heights of Heegner points and Λ-adic regulators},
author={Jennifer S. Balakrishnan and Mirela Çiperiani and William Stein},
journal={Math. Comput.},
year={2015},
volume={84},
pages={923-954}
}

Let E be an elliptic curve defined over Q. The aim of this paper is to make it possible to compute Heegner L-functions and anticyclotomic Λ-adic regulators of E, which were studied by Mazur-Rubin and Howard. We generalize results of Cohen and Watkins and thereby compute Heegner points of nonfundamental discriminant. We then prove a relationship between the denominator of a point of E defined over a number field and the leading coefficient of the minimal polynomial of its xcoordinate. Using this… CONTINUE READING