LMFDB - Database - hgm_euler

Formats: - HTML - YAML - JSON - 2026-10-28T14:26:57.437705

Query: /api/hgm_euler_survey/?_offset=0

Column	Type	Example
A	integer[]	[3, 4, 8]
B	integer[]	[1, 1, 1, 2, 2, 2, 2, 2]
d	integer	8
eulers	numeric[]	[[1, -11, 130, -25, 151250, -15625, 50781250, -2685546875, 152587890625], [1, 14, 290, 10350, 0, -64...
label	text	'A8.4.3_B2.2.2.2.2.1.1.1'
p	integer	5

{'A': [6], 'B': [1, 1], 'd': 2, 'eulers': [[1, 4, 373], [1, 22, 373], [1, 10, 373], [1, 20, 373], [1, -34, 373], [1, -14, 373], [1, -34, 373], [1, -8, 373], [1, -9, 373], [1, 6, 373], [1, 2, 373], [1, -13, 373], [1, 18, 373], [1, -29, 373], [1, -10, 373], [1, -21, 373], [1, -8, 373], [1, 5, 373], [1, -1, 373], [1, 0, 373], [1, -33, 373], [1, -14, 373], [1, -3, 373], [1, 26, 373], [1, -32, 373], [1, -36, 373], [1, 34, 373], [1, -31, 373], [1, -11, 373], [1, -13, 373], [1, -4, 373], [1, 5, 373], [1, 3, 373], [1, 34, 373], [1, 4, 373], [1, 1, 373], [1, -1, 373], [1, -19, 373], [1, -11, 373], [1, 14, 373], [1, 20, 373], [1, -3, 373], [1, 11, 373], [1, 21, 373], [1, 14, 373], [1, -22, 373], [1, 4, 373], [1, 22, 373], [1, 4, 373], [1, 0, 373], [1, -26, 373], [1, 26, 373], [1, -31, 373], [1, 6, 373], [1, 16, 373], [1, -30, 373], [1, -5, 373], [1, 18, 373], [1, 2, 373], [1, -1, 373], [1, -10, 373], [1, -14, 373], [1, 17, 373], [1, -6, 373], [1, 32, 373], [1, -24, 373], [1, 38, 373], [1, -14, 373], [1, -16, 373], [1, -30, 373], [1, 30, 373], [1, -4, 373], [1, 20, 373], [1, -16, 373], [1, -26, 373], [1, -3, 373], [1, -31, 373], [1, 15, 373], [1, -6, 373], [1, 26, 373], [1, -8, 373], [1, 16, 373], [1, 18, 373], [1, 0, 373], [1, 0, 373], [1, 26, 373], [1, -17, 373], [1, -14, 373], [1, 37, 373], [1, 23, 373], [1, -4, 373], [1, 32, 373], [1, -35, 373], [1, -19, 373], [1, 36, 373], [1, 14, 373], [1, 27, 373], [1, 23, 373], [1, 8, 373], [1, 25, 373], [1, -26, 373], [1, -14, 373], [1, -2, 373], [1, -25, 373], [1, 0, 373], [1, -13, 373], [1, 26, 373], [1, 17, 373], [1, -32, 373], [1, -6, 373], [1, 6, 373], [1, 12, 373], [1, 16, 373], [1, -17, 373], [1, 11, 373], [1, 13, 373], [1, 6, 373], [1, 28, 373], [1, -10, 373], [1, -2, 373], [1, 5, 373], [1, 17, 373], [1, 7, 373], [1, 16, 373], [1, -29, 373], [1, -35, 373], [1, -19, 373], [1, 14, 373], [1, -4, 373], [1, -36, 373], [1, -33, 373], [1, 7, 373], [1, -14, 373], [1, -14, 373], [1, 6, 373], [1, 4, 373], [1, 25, 373], [1, -22, 373], [1, -29, 373], [1, -1, 373], [1, -19, 373], [1, 19, 373], [1, -26, 373], [1, -32, 373], [1, -13, 373], [1, 6, 373], [1, 11, 373], [1, 4, 373], [1, 22, 373], [1, 1, 373], [1, 6, 373], [1, -23, 373], [1, -22, 373], [1, 4, 373], [1, -6, 373], [1, 28, 373], [1, 22, 373], [1, 10, 373], [1, 16, 373], [1, -4, 373], [1, -14, 373], [1, -14, 373], [1, -1, 373], [1, 22, 373], [1, 2, 373], [1, -14, 373], [1, -6, 373], [1, 24, 373], [1, 29, 373], [1, 36, 373], [1, 22, 373], [1, -7, 373], [1, 10, 373], [1, 26, 373], [1, 4, 373], [1, -16, 373], [1, 12, 373], [1, 34, 373], [1, -34, 373], [1, 22, 373], [1, -34, 373], [1, 13, 373], [1, 10, 373], [1, -10, 373], [1, -10, 373], [1, 14, 373], [1, -10, 373], [1, -10, 373], [1, 10, 373], [1, 13, 373], [1, -34, 373], [1, 22, 373], [1, -34, 373], [1, 34, 373], [1, 12, 373], [1, -16, 373], [1, 4, 373], [1, 26, 373], [1, 10, 373], [1, -7, 373], [1, 22, 373], [1, 36, 373], [1, 29, 373], [1, 24, 373], [1, -6, 373], [1, -14, 373], [1, 2, 373], [1, 22, 373], [1, -1, 373], [1, -14, 373], [1, -14, 373], [1, -4, 373], [1, 16, 373], [1, 10, 373], [1, 22, 373], [1, 28, 373], [1, -6, 373], [1, 4, 373], [1, -22, 373], [1, -23, 373], [1, 6, 373], [1, 1, 373], [1, 22, 373], [1, 4, 373], [1, 11, 373], [1, 6, 373], [1, -13, 373], [1, -32, 373], [1, -26, 373], [1, 19, 373], [1, -19, 373], [1, -1, 373], [1, -29, 373], [1, -22, 373], [1, 25, 373], [1, 4, 373], [1, 6, 373], [1, -14, 373], [1, -14, 373], [1, 7, 373], [1, -33, 373], [1, -36, 373], [1, -4, 373], [1, 14, 373], [1, -19, 373], [1, -35, 373], [1, -29, 373], [1, 16, 373], [1, 7, 373], [1, 17, 373], [1, 5, 373], [1, -2, 373], [1, -10, 373], [1, 28, 373], [1, 6, 373], [1, 13, 373], [1, 11, 373], [1, -17, 373], [1, 16, 373], [1, 12, 373], [1, 6, 373], [1, -6, 373], [1, -32, 373], [1, 17, 373], [1, 26, 373], [1, -13, 373], [1, 0, 373], [1, -25, 373], [1, -2, 373], [1, -14, 373], [1, -26, 373], [1, 25, 373], [1, 8, 373], [1, 23, 373], [1, 27, 373], [1, 14, 373], [1, 36, 373], [1, -19, 373], [1, -35, 373], [1, 32, 373], [1, -4, 373], [1, 23, 373], [1, 37, 373], [1, -14, 373], [1, -17, 373], [1, 26, 373], [1, 0, 373], [1, 0, 373], [1, 18, 373], [1, 16, 373], [1, -8, 373], [1, 26, 373], [1, -6, 373], [1, 15, 373], [1, -31, 373], [1, -3, 373], [1, -26, 373], [1, -16, 373], [1, 20, 373], [1, -4, 373], [1, 30, 373], [1, -30, 373], [1, -16, 373], [1, -14, 373], [1, 38, 373], [1, -24, 373], [1, 32, 373], [1, -6, 373], [1, 17, 373], [1, -14, 373], [1, -10, 373], [1, -1, 373], [1, 2, 373], [1, 18, 373], [1, -5, 373], [1, -30, 373], [1, 16, 373], [1, 6, 373], [1, -31, 373], [1, 26, 373], [1, -26, 373], [1, 0, 373], [1, 4, 373], [1, 22, 373], [1, 4, 373], [1, -22, 373], [1, 14, 373], [1, 21, 373], [1, 11, 373], [1, -3, 373], [1, 20, 373], [1, 14, 373], [1, -11, 373], [1, -19, 373], [1, -1, 373], [1, 1, 373], [1, 4, 373], [1, 34, 373], [1, 3, 373], [1, 5, 373], [1, -4, 373], [1, -13, 373], [1, -11, 373], [1, -31, 373], [1, 34, 373], [1, -36, 373], [1, -32, 373], [1, 26, 373], [1, -3, 373], [1, -14, 373], [1, -33, 373], [1, 0, 373], [1, -1, 373], [1, 5, 373], [1, -8, 373], [1, -21, 373], [1, -10, 373], [1, -29, 373], [1, 18, 373], [1, -13, 373], [1, 2, 373], [1, 6, 373], [1, -9, 373], [1, -8, 373], [1, -34, 373], [1, -14, 373], [1, -34, 373], [1, 20, 373], [1, 10, 373], [1, 22, 373], [1, 4, 373]], 'id': 71, 'label': 'A6_B1.1', 'p': 373}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

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.