PreprintCC BY-NC-SA 4.0arXiv
$2$-adic Representations of Elliptic Curves over ℚ2
Abstract
We provide a complete classification of the rational $2$-adic Tate modules V2(E) of elliptic curves E/ℚ2 with potentially good reduction. The classification is given in terms of the filtered (φ,Gal)-modules associated to V2(E) via Fontaine's functor Dpcris*.
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BibTeX
@misc{castromoreno20262adic,
title = {{$2$-adic Representations of Elliptic Curves over $\mathbbQ_2$}},
author = {Jose Castro-Moreno and Nuno Freitas},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.25332},
eprint = {2610.25332},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.25332},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - $2$-adic Representations of Elliptic Curves over ℚ_2
AU - Jose Castro-Moreno
AU - Nuno Freitas
PY - 2026
DA - 2026/10/18
PB - arXiv
DO - 10.48550/arxiv.2610.25332
UR - https://arxiv.org/abs/2610.25332
AB - We provide a complete classification of the rational $2$-adic Tate modules V_2(E) of elliptic curves E/ℚ_2 with potentially good reduction. The classification is given in terms of the filtered (φ,Gal)-modules associated to V_2(E) via Fontaine's functor D_pcris^*.
ER -