Explicit moduli spaces for congruences of elliptic curves
Number Theory
2018-04-27 v1
Abstract
We determine explicit birational models over Q for the modular surfaces parametrising pairs of N-congruent elliptic curves in all cases where this surface is an elliptic surface. In each case we also determine the rank of the Mordell-Weil lattice and the geometric Picard number.
Keywords
Cite
@article{arxiv.1804.10195,
title = {Explicit moduli spaces for congruences of elliptic curves},
author = {Tom Fisher},
journal= {arXiv preprint arXiv:1804.10195},
year = {2018}
}
Comments
20 pages