LMFDB - Completeness of Sato-Tate Group Data (reviewed)

show · rcs.cande.st_group all knowls · up · search:

The database currently contains all rational Sato-Tate groups of weight 1 and degree up to 6, as well as the two rational Sato-Tate groups of weight 0 and degree 1. Pages for irrational Sato-Tate groups of weight 0 and degree 1 are available for component groups of order up to $10^{20}$, but only those order up to $10^{4}$ are shown in search results.

Authors:

Andrew Sutherland

Knowl status:

Review status: reviewed
Last edited by Andrew Sutherland on 2022-02-09 19:43:36

Referred to by:

rcs
lmfdb/sato_tate_groups/main.py (line 1036)

History: (expand/hide all)

2022-02-09 19:43:36 by Andrew Sutherland (Reviewed)
2021-01-19 12:08:27 by Andrew Sutherland (Reviewed)
2019-04-22 20:52:27 by Andrew Sutherland (Reviewed)
2019-03-22 00:43:15 by Andrew Sutherland (Reviewed)
2019-03-22 00:39:54 by Andrew Sutherland

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.