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Inertial Types of Elliptic Curves Over $\mathbb{Q}_{p^{2}}$

Number Theory 2025-12-05 v1
Authors: Jose Castro-Moreno , Nuno Freitas
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Abstract

We provide a complete, explicit description of the inertial Weil-Deligne types arising from elliptic curves over Qp2\mathbb{Q}_{p^{2}} for p prime

Keywords

elliptic curves Weil-Deligne representation inertial type local Langlands correspondence

Cite

@article{arxiv.2512.05023,
  title  = {Inertial Types of Elliptic Curves Over $\mathbb{Q}_{p^{2}}$},
  author = {Jose Castro-Moreno and Nuno Freitas},
  journal= {arXiv preprint arXiv:2512.05023},
  year   = {2025}
}

Comments

44 Pages, 20 Tables

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