Local root numbers of elliptic curves over dyadic fields
Number Theory
2024-02-20 v1 Algebraic Geometry
Abstract
We consider an elliptic curve over a dyadic field with additive, potentially good reduction. We study the finite Galois extension of the dyadic field generated by the three-torsion points of the elliptic curve. As an application, we give a formula to calculate the local root number of the elliptic curve over the dyadic field.
Keywords
Cite
@article{arxiv.1502.04251,
title = {Local root numbers of elliptic curves over dyadic fields},
author = {Naoki Imai},
journal= {arXiv preprint arXiv:1502.04251},
year = {2024}
}
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11 pages