LMFDB - Completeness of Sato-Tate group data (reviewed)

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The database currently contains all rational Sato-Tate groups of weight 1 and degree up to 6, as well as all Sato-Tate groups of weight 0 and degree 1 with component group of order at most $10^{20}$.

Authors:

Andrew Sutherland

Knowl status:

Review status: reviewed
Last edited by Andrew Sutherland on 2021-05-01 10:14:55

Referred to by:

Not referenced anywhere at the moment.

History: (expand/hide all)

2021-05-01 10:14:55 by Andrew Sutherland (Reviewed)
2019-03-22 04:38:55 by Andrew Sutherland (Reviewed)
2019-03-22 00:24:59 by Andrew Sutherland
2018-06-20 04:31:42 by Kiran S. Kedlaya (Reviewed)

Differences (show/hide)

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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