Class number formulas via 2-isogenies of elliptic curves
Number Theory
2014-02-26 v3
Abstract
A classical result of Dirichlet shows that certain elementary character sums compute class numbers of quadratic imaginary number fields. We obtain analogous relations between class numbers and a weighted character sum associated to a 2-isogeny of elliptic curves.
Keywords
Cite
@article{arxiv.1008.4766,
title = {Class number formulas via 2-isogenies of elliptic curves},
author = {Cam McLeman and Christopher Rasmussen},
journal= {arXiv preprint arXiv:1008.4766},
year = {2014}
}
Comments
19 pages; To appear in the Bulletin of the London Mathematical Society