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Some interesting $p$-adic fields

Introduction

Overview	Random
Universe	Knowledge

L-functions

Modular forms

Classical	Maass
Hilbert	Bianchi

Varieties

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Fields

Number fields
$p$-adic fields

Representations

Dirichlet characters
Artin representations

Groups

Galois groups
Sato-Tate groups

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Learn more about

Completeness of the data
Source of the data
Reliability of the data
Local field labels

Label	Description

Data computed by J. Jones and D. Roberts.

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Contact · Citation · Acknowledgments · Editorial Board · Source · 3303df26c602c2448c6906b96aa57bd2d76c80f0 · SageMath version 9.2 · LMFDB Release 1.2.1