LMFDB - Database - hgm_euler

Formats: - HTML - YAML - JSON - 2026-10-28T14:26:57.621233

Query: /api/hgm_euler_survey/?_offset=0

Column	Type	Example
A	integer[]	[3, 9]
B	integer[]	[1, 2, 18]
d	integer	8
eulers	numeric[]	[[1, -9, 11, -968, 0, 117128, -161051, 15944049, -214358881], [1, 3, -143, -1210, 0, 146410, 2093663...
label	text	'A9.3_B18.2.1'
p	integer	11

{'A': [6], 'B': [1, 1], 'd': 2, 'eulers': [[1, 12, 443], [1, 27, 443], [1, 4, 443], [1, -24, 443], [1, 10, 443], [1, 22, 443], [1, 6, 443], [1, -4, 443], [1, 28, 443], [1, -9, 443], [1, 19, 443], [1, -24, 443], [1, 6, 443], [1, -9, 443], [1, 15, 443], [1, 4, 443], [1, -29, 443], [1, 20, 443], [1, 40, 443], [1, -22, 443], [1, 12, 443], [1, -9, 443], [1, 6, 443], [1, 29, 443], [1, 4, 443], [1, 11, 443], [1, 4, 443], [1, 0, 443], [1, -25, 443], [1, -21, 443], [1, -10, 443], [1, 10, 443], [1, 0, 443], [1, 15, 443], [1, 16, 443], [1, -8, 443], [1, -30, 443], [1, 14, 443], [1, -38, 443], [1, 40, 443], [1, 16, 443], [1, -27, 443], [1, 4, 443], [1, 24, 443], [1, -33, 443], [1, -32, 443], [1, -12, 443], [1, 6, 443], [1, -20, 443], [1, -15, 443], [1, 30, 443], [1, 19, 443], [1, -20, 443], [1, 20, 443], [1, -24, 443], [1, 1, 443], [1, -12, 443], [1, 30, 443], [1, -9, 443], [1, 12, 443], [1, 24, 443], [1, -23, 443], [1, -11, 443], [1, -39, 443], [1, -8, 443], [1, -12, 443], [1, -24, 443], [1, 3, 443], [1, -26, 443], [1, 4, 443], [1, -20, 443], [1, -24, 443], [1, 14, 443], [1, -23, 443], [1, 12, 443], [1, -24, 443], [1, 36, 443], [1, 35, 443], [1, -7, 443], [1, -12, 443], [1, -35, 443], [1, -20, 443], [1, 6, 443], [1, -6, 443], [1, -15, 443], [1, 1, 443], [1, -12, 443], [1, -4, 443], [1, -14, 443], [1, 36, 443], [1, 12, 443], [1, 2, 443], [1, -4, 443], [1, -9, 443], [1, 12, 443], [1, 24, 443], [1, -4, 443], [1, -4, 443], [1, 28, 443], [1, -12, 443], [1, 14, 443], [1, -4, 443], [1, 3, 443], [1, 5, 443], [1, 6, 443], [1, -30, 443], [1, -18, 443], [1, -16, 443], [1, -8, 443], [1, -23, 443], [1, -39, 443], [1, -29, 443], [1, -34, 443], [1, 34, 443], [1, -24, 443], [1, -40, 443], [1, 1, 443], [1, 24, 443], [1, -9, 443], [1, 6, 443], [1, 21, 443], [1, -5, 443], [1, 37, 443], [1, -26, 443], [1, -19, 443], [1, -16, 443], [1, -18, 443], [1, -18, 443], [1, 1, 443], [1, 36, 443], [1, 4, 443], [1, -17, 443], [1, 21, 443], [1, 12, 443], [1, 4, 443], [1, -41, 443], [1, -6, 443], [1, -24, 443], [1, -12, 443], [1, 6, 443], [1, -21, 443], [1, -28, 443], [1, -17, 443], [1, -28, 443], [1, 36, 443], [1, -26, 443], [1, -24, 443], [1, -40, 443], [1, 25, 443], [1, 21, 443], [1, -14, 443], [1, 20, 443], [1, -9, 443], [1, -32, 443], [1, -20, 443], [1, 20, 443], [1, -14, 443], [1, 16, 443], [1, 31, 443], [1, -10, 443], [1, -3, 443], [1, 3, 443], [1, 36, 443], [1, 0, 443], [1, -8, 443], [1, -42, 443], [1, 10, 443], [1, -18, 443], [1, 24, 443], [1, -1, 443], [1, 24, 443], [1, -30, 443], [1, 24, 443], [1, 31, 443], [1, 6, 443], [1, -25, 443], [1, -21, 443], [1, 22, 443], [1, 34, 443], [1, 31, 443], [1, 20, 443], [1, -24, 443], [1, 8, 443], [1, 15, 443], [1, 33, 443], [1, 11, 443], [1, -21, 443], [1, 21, 443], [1, 26, 443], [1, -9, 443], [1, 14, 443], [1, -33, 443], [1, -31, 443], [1, 27, 443], [1, -39, 443], [1, 38, 443], [1, 14, 443], [1, 4, 443], [1, 24, 443], [1, 24, 443], [1, -2, 443], [1, 16, 443], [1, 6, 443], [1, -12, 443], [1, 6, 443], [1, -6, 443], [1, 36, 443], [1, -18, 443], [1, -9, 443], [1, -38, 443], [1, 24, 443], [1, -3, 443], [1, -13, 443], [1, -9, 443], [1, -39, 443], [1, -36, 443], [1, -7, 443], [1, 4, 443], [1, 13, 443], [1, -12, 443], [1, 0, 443], [1, 12, 443], [1, -13, 443], [1, -4, 443], [1, 7, 443], [1, 36, 443], [1, 39, 443], [1, 9, 443], [1, 13, 443], [1, 3, 443], [1, -24, 443], [1, 38, 443], [1, 9, 443], [1, 18, 443], [1, -36, 443], [1, 6, 443], [1, -6, 443], [1, 12, 443], [1, -6, 443], [1, -16, 443], [1, 2, 443], [1, -24, 443], [1, -24, 443], [1, -4, 443], [1, -14, 443], [1, -38, 443], [1, 39, 443], [1, -27, 443], [1, 31, 443], [1, 33, 443], [1, -14, 443], [1, 9, 443], [1, -26, 443], [1, -21, 443], [1, 21, 443], [1, -11, 443], [1, -33, 443], [1, -15, 443], [1, -8, 443], [1, 24, 443], [1, -20, 443], [1, -31, 443], [1, -34, 443], [1, -22, 443], [1, 21, 443], [1, 25, 443], [1, -6, 443], [1, -31, 443], [1, -24, 443], [1, 30, 443], [1, -24, 443], [1, 1, 443], [1, -24, 443], [1, 18, 443], [1, -10, 443], [1, 42, 443], [1, 8, 443], [1, 0, 443], [1, -36, 443], [1, -3, 443], [1, 3, 443], [1, 10, 443], [1, -31, 443], [1, -16, 443], [1, 14, 443], [1, -20, 443], [1, 20, 443], [1, 32, 443], [1, 9, 443], [1, -20, 443], [1, 14, 443], [1, -21, 443], [1, -25, 443], [1, 40, 443], [1, 24, 443], [1, 26, 443], [1, -36, 443], [1, 28, 443], [1, 17, 443], [1, 28, 443], [1, 21, 443], [1, -6, 443], [1, 12, 443], [1, 24, 443], [1, 6, 443], [1, 41, 443], [1, -4, 443], [1, -12, 443], [1, -21, 443], [1, 17, 443], [1, -4, 443], [1, -36, 443], [1, -1, 443], [1, 18, 443], [1, 18, 443], [1, 16, 443], [1, 19, 443], [1, 26, 443], [1, -37, 443], [1, 5, 443], [1, -21, 443], [1, -6, 443], [1, 9, 443], [1, -24, 443], [1, -1, 443], [1, 40, 443], [1, 24, 443], [1, -34, 443], [1, 34, 443], [1, 29, 443], [1, 39, 443], [1, 23, 443], [1, 8, 443], [1, 16, 443], [1, 18, 443], [1, 30, 443], [1, -6, 443], [1, -5, 443], [1, -3, 443], [1, 4, 443], [1, -14, 443], [1, 12, 443], [1, -28, 443], [1, 4, 443], [1, 4, 443], [1, -24, 443], [1, -12, 443], [1, 9, 443], [1, 4, 443], [1, -2, 443], [1, -12, 443], [1, -36, 443], [1, 14, 443], [1, 4, 443], [1, 12, 443], [1, -1, 443], [1, 15, 443], [1, 6, 443], [1, -6, 443], [1, 20, 443], [1, 35, 443], [1, 12, 443], [1, 7, 443], [1, -35, 443], [1, -36, 443], [1, 24, 443], [1, -12, 443], [1, 23, 443], [1, -14, 443], [1, 24, 443], [1, 20, 443], [1, -4, 443], [1, 26, 443], [1, -3, 443], [1, 24, 443], [1, 12, 443], [1, 8, 443], [1, 39, 443], [1, 11, 443], [1, 23, 443], [1, -24, 443], [1, -12, 443], [1, 9, 443], [1, -30, 443], [1, 12, 443], [1, -1, 443], [1, 24, 443], [1, -20, 443], [1, 20, 443], [1, -19, 443], [1, -30, 443], [1, 15, 443], [1, 20, 443], [1, -6, 443], [1, 12, 443], [1, 32, 443], [1, 33, 443], [1, -24, 443], [1, -4, 443], [1, 27, 443], [1, -16, 443], [1, -40, 443], [1, 38, 443], [1, -14, 443], [1, 30, 443], [1, 8, 443], [1, -16, 443], [1, -15, 443], [1, 0, 443], [1, -10, 443], [1, 10, 443], [1, 21, 443], [1, 25, 443], [1, 0, 443], [1, -4, 443], [1, -11, 443], [1, -4, 443], [1, -29, 443], [1, -6, 443], [1, 9, 443], [1, -12, 443], [1, 22, 443], [1, -40, 443], [1, -20, 443], [1, 29, 443], [1, -4, 443], [1, -15, 443], [1, 9, 443], [1, -6, 443], [1, 24, 443], [1, -19, 443], [1, 9, 443], [1, -28, 443], [1, 4, 443], [1, -6, 443], [1, -22, 443], [1, -10, 443], [1, 24, 443], [1, -4, 443], [1, -27, 443], [1, -12, 443]], 'id': 83, 'label': 'A6_B1.1', 'p': 443}

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.