LMFDB - Bianchi modular form data

Formats: - HTML - YAML - JSON - 2024-10-04T11:58:05.535017

Column	Type
AL_eigs	jsonb
CM	smallint
Lratio	text
bc	smallint
dimension	smallint
field_bad_primes	integer[]
field_deg	smallint
field_disc	smallint
field_label	text
hecke_eigs	jsonb
hecke_poly	text
label	text
label_nsuffix	smallint
label_suffix	text
level_bad_primes	integer[]
level_gen	text
level_ideal	text
level_label	text
level_norm	bigint
sfe	smallint
short_label	text
weight	smallint

bmf_forms • Show schema

{'AL_eigs': [-1], 'CM': 0, 'Lratio': '2', 'bc': 1, 'dimension': 1, 'field_bad_primes': [2], 'field_deg': 2, 'field_disc': -8, 'field_label': '2.0.8.1', 'hecke_eigs': [0, 2, 2, -2, -2, -2, -2, 2, 2, -6, -6, -6, 6, 6, 2, 14, 14, 10, 10, 14, 14, -6, -6, -2, -2, -2, -2, -2, -2, 2, 2, -6, -6, 10, 10, -10, -10, 2, 2, -22, -6, -6, -2, -2, -22, -22, 18, 18, -18, -18, -2, -2, -18, -18, 18, 18, -18, -18, 6, 6, 18, 18, 10, 10, 14, 14, -14, -14, -18, -18, 18, 18, -2, -2, 30, 30, 10, 10, 26, 26, 30, 30, 6, 6, -34, -34, -6, -6, -14, -14, -10, -10, -22, -22, -22, -22, 14, 14, -30, -38, -38, 18, 18, 26, 26, 38, 38, 2, 2, -34, -34, 18, 18, 30, 30, -2, -2, 46, 46, 30, 30, 42, 42, -6, -6, -2, -2, -42, -42, -6, -6, 18, 18, 10, 10, -34, -34, -22, -22, -6, -6, -18, -18, 22, 22, -22, -6, -6, -50, -50, -46, -46, 34, 34, 38, 38, 30, 30, 46, 46, -14, -14, 58, 58, -62, 38, 38, 30, 30, -34, -34, 6, 6, -34, -34, -18, -18, 30, 30, -30, -30, -2, -2, 2, 2, -38, -38, -14, -14, 54, 54, -14, -14, 34, 34, -34, -34, 50, 50, 2, 2, -14, -14, 30, 30, -14, -14, 14, 14, -2, -2, -34, -34, 22, 22, 10, 10, -2, -2, 26, 30, 30, -62, -62, -34, -34, -26, -26, 2, 2, -2, -2, 38, 38, -34, -34, 6, 6, -54, -54, -10, -10, -14, -14, -54, -54, 22, 22, -14, -14, 46, 46, 74, 74, 30, 30, 42, 42, 2, 2, -66, -66, -6, -6, 30, 30, -50, -50, 50, 50, 46, 46, 66, 66, -10, -10, -18, -18, 66, 66, 22, 22, -2, -2, 34, 34, 18, 18, -66, -66, -66, -66, 54, 54, 58, 58, -22, -22, -6, -6, -26, -26, -66, -66, -50, -50, 30, 30, -86, -86, -18, -18, -22, -22, 66, 66, -46, -46, -70, -70, -22, -22, -54, -54, 62, 62, -30, -30, -10, -10, -30, 42, 42, 70, 70, 30, 30, -46, -46, 30, 30, 74, 74, 2, 2, -18, -18, -14, -14, -22, -22, 14, 14, 6, 6, 30, 30, 78, 78, 14, 14, -14, -14, -34, -34, -70, -70, 58, 58, -50, -50, -22, -22, -14, -14, -66, -66, -86, -86, -6, -6, -78, -78, -14, -14, -82, -82, -62, -62, 46, 46, 58, 58, 10, 10, -86, -86, -42, -42, 30, 30, -102, -102, 30, 30, 74, 74, -70, -70, -70, -30, -30, 94, 94, 50, 50, 62, 62, -66, -66, -66, -66, 90, 90, -14, -14, 30, 30, 102, 102, 26, 26, -30, -30, 62, 62, -34, -34, -2, -2, -74, -74, 14, 14, 34, 34, -62, -62, -14, -14, 102, 102, 62, 62, -38, -38, -86, -86, 42, 42, 34, 34, 10, 10, -2, -2, 70, 70, 42, 42, 22, 22, 2, 2, 94, 94, -2, -2, 18, 18, 10, 10, 82, 82, -98, -98, 26, 26, -34, -34, 30, 30, -58, -58, -22, -22, 70, 70, -34, -34, 34, 34, -74, -74, 58, 58, 58, 58, 94, 94, -10, -10, 14, 14, 14, 14, 22, 22, -2, -2, -118, -82, -82, -78, -78, -86, -86, -38, -38, 62, 62, 6, 6, -114, -114, -114, -114, -38, -38, -66, -66, 58, 58, -46, -46, 90, 90, -74, -74, 14, 14, 34, 34, 2, 2, -30, -30, 102, 102, -14, -14, -30, -30, 30, 30, 42, 42, 54, 54, 74, 74, 30, 30, -42, -42, -18, -18, -30, -30, -82, -82, -30, -30, -18, -18, -2, -2, 126, 126, -62, -62, -54, -54, -46, -46, -2, -2, -78, -78, -50, -50, -2, -2, 114, 114, -26, -26, 30, 30, -86, -86, 66, 66, 126, 126, 2, 2, -70, -70, -82, -82, 114, 114, 78, 78, 2, 2, -34, -34, 14, 14, 114, 114, 10, 10, -98, -98, -14, -14, -2, -2, -62, -62, 2, 2, -38, -38, 90, 90, 66, 66, 106, 106, -62, -62, -30, -30, 90, 90, -86, -86, -34, -34, 10, 10, 70, 70, -46, -46, 102, 102, 62, 62, 34, 34, 2, -98, -98, -86, -86, -2, -2, -90, -90, -94, -94, -18, -18, -106, -106, 94, 94, -86, -86, -50, -50, 30, 30, 38, 38, -14, -14, -6, -6, -98, -98, 66, 66, -138, -138, -38, -38, 78, 78, -94, -94, -102, -102, -90, -90, -34, -34, -14, -14, 138, 138, -26, -26, -126, -126, -130, -130, 54, 54, -34, -34, 114, 114, 74, 74, -94, -94, 74, 74, -10, -10, 2, 2, -2, -2, -50, -50, 26, 26, 42, 42, 74, 74, 50, 50, 42, 42, -122, -122, -34, -34, 54, 54, 110, 110, -102, -102, 74, 74, 106, 106, -66, -66, -150, -150, 54, 54, -82, -82, 26, 26, 10, 10, -82, -82, 78, 78, -66, -66, -98, -98, 90, 90, 66, 66, 102, 102, -134, -134, 90, 90, -94, 30, 30, -66, -66, -22, -22, -54, -54, 94, 94, -30, -30, 30, 30, -50, -50, -18, -18, 130, 130, 82, 82, 58, 58, 34, 34, 102, 102, -114, -114, -110, -110, -86, -86, -34, -34, -14, -14, -66, -66, 70, 70, -98, -98, -58, -58, 50, 50, -130, -130, 34, 34, 50, 50, -130, -130, 158, 158, -98, -98, -10, -10, -34, -34, 114, 114, 110, 110, 30, 30, -50, -50, 78, 78, -70, -70, 146, 146, -2, -2, -54, -54, 30, 30, 78, 78, -130, -130, 26, 26, 78, 78, 58, 58, -102, -102, -66, -66, -78, -78, 14, 14, -38, -38, -14, -14, 74, 74, 38, 38, -22, -22, -74, -74, -14, -14, 62, 62, 54, 54, -150, -150, 162, 162, 90, 90, 146, 146, 50, 50, 26, 26, -6, -6, 110, 110, -34, -34, -62, -62, 142, 142, -46, -46, 166, 166, -38, -38, 154, 154, 78, 78, 30, 30, -26, -26, -38, -38, 78, 78, -142, -142, 30, 30, 126, 126, -134, -134, 62, 62, -26, -26, 18, 18, 126, 126, -114, -114, -14, -14, -162, -162, 98, 98, -42, -42, 126, 126, 54, 54, 26, 26, 62], 'hecke_poly': 'x', 'label': '2.0.8.1-256.1-b', 'label_nsuffix': 1, 'label_suffix': 'b', 'level_bad_primes': [2], 'level_gen': '16', 'level_ideal': '(16)', 'level_label': '256.1', 'level_norm': 256, 'sfe': 1, 'short_label': '256.1-b', 'weight': 2}

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.