On The $j$-Invariants of CM-Elliptic Curves Defined Over $\mathbb{Z}_p$
Number Theory
2017-04-06 v2
Abstract
We characterize the possible reductions of -invariants of elliptic curves which admit complex multiplication by an order where the curve itself is defined over . In particular, we show that the distribution of these -invariants depends on which primes divide the discriminant and conductor of the order.
Keywords
Cite
@article{arxiv.1506.04646,
title = {On The $j$-Invariants of CM-Elliptic Curves Defined Over $\mathbb{Z}_p$},
author = {Andrew Fiori},
journal= {arXiv preprint arXiv:1506.04646},
year = {2017}
}
Comments
14 pages