Computing local constants for CM elliptic curves
Number Theory
2014-11-04 v3
Abstract
For E/k an elliptic curve with CM by O, we determine a formula for (a generalization of) the arithmetic local constant of [4] at almost all primes of good reduction. We apply this formula to the CM curves defined over Q and are able to describe extensions F/Q over which the O-rank of E grows.
Cite
@article{arxiv.1011.0464,
title = {Computing local constants for CM elliptic curves},
author = {Sunil Chetty and Lung Li},
journal= {arXiv preprint arXiv:1011.0464},
year = {2014}
}
Comments
3 tables, updated acknowledgments