Class Numbers via 3-Isogenies and Elliptic Surfaces
Number Theory
2012-03-19 v1 Algebraic Geometry
Abstract
We show that a character sum attached to a family of 3-isogenies defined on the fibers of a certain elliptic surface over relates to the class number of the quadratic imaginary number field . In this sense, this provides a higher-dimensional analog of some recent class number formulas associated to 2-isogenies of elliptic curves.
Cite
@article{arxiv.1203.3560,
title = {Class Numbers via 3-Isogenies and Elliptic Surfaces},
author = {Cam McLeman and Dustin Moody},
journal= {arXiv preprint arXiv:1203.3560},
year = {2012}
}
Comments
12 pages