LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-05-15T18:16:55.743583

Column	Type
Nk2	integer
analytic_conductor	double precision
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]
atkin_lehner_string	text
char_conductor	integer
char_degree	integer
char_is_minimal	boolean
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
cm_discs	integer[]
conrey_index	integer
dim	integer
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]
field_poly_is_cyclotomic	boolean
field_poly_is_real_cyclotomic	boolean
field_poly_root_of_unity	integer
fricke_eigenval	smallint
has_non_self_twist	smallint
hecke_cutters	jsonb
hecke_orbit	integer
hecke_orbit_code	bigint
hecke_ring_generator_nbound	integer
hecke_ring_index	numeric
hecke_ring_index_factorization	numeric[]
hecke_ring_index_proved	boolean
inner_twist_count	integer
inner_twists	integer[]
is_cm	boolean
is_largest	boolean
is_maximal	boolean
is_polredabs	boolean
is_rm	boolean
is_self_dual	boolean
is_self_twist	boolean
is_twist_minimal	boolean
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
minimal_twist	text
nf_label	text
prim_orbit_index	smallint
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text
related_objects	text[]
relative_dim	integer
rm_discs	integer[]
sato_tate_group	text
self_twist_discs	integer[]
self_twist_type	smallint
space_label	text
trace_display	numeric[]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]
weight	smallint
weight_parity	smallint

mf_newforms • Show schema

{'Nk2': 2187, 'analytic_conductor': 10.999222471650434, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 18, 'char_parity': -1, 'char_values': [27, 18, [2], [1]], 'cm_discs': [], 'conrey_index': 2, 'dim': 138, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 343748378651, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 6, -1, 18, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '27.9.f.a', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '27.9.f.a', 'prim_orbit_index': 6, 'related_objects': [], 'relative_dim': 23, 'rm_discs': [], 'sato_tate_group': '8.2.3.c18', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '27.9.f', 'trace_display': [-6, -6, -447, -6], 'traces': [138, -6, -6, -6, -447, -774, -6, -9, -12960, -3, 28668, 77421, -6, -120975, 105507, -774, -9, -241317, -3, 137913, 1164372, -185478, 68376, -2624256, 507585, 0, 3500568, -12, -943980, -1533627, 920739, -3005136, -1245285, 660474, 6225408, 4021128, -3, -23716884, -5699685, -975273, 16694382, 1594134, 4412514, 17341119, 12986721, -3, -11341869, -26229183, 11347482, -40948977, -16497396, 14465511, 0, 34106454, -12, 52215771, 26766582, -19078611, 76116738, -24031170, 34059450, -223709616, -149069421, 100663293, 20396037, 83336805, -103603884, 101921427, 38038563, 135373629, 125718795, 183269700, -7632642, -66643887, -167459145, -203790342, -343269159, -344470788, -68767890, 0, 151392924, -12, 383244663, 836800692, 170435619, 71426730, -145695735, -192774918, 135692730, -821329020, 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Column	Type
an_normalized	double precision[]
angles	double precision[]
char_orbit_index	smallint
conrey_index	integer
dual_conrey_index	integer
dual_embedding_index	integer
dual_embedding_m	integer
embedding_index	integer
embedding_m	integer
embedding_root_imag	double precision
embedding_root_real	double precision
hecke_orbit	integer
hecke_orbit_code	bigint
label	text
level	integer
weight	smallint

mf_hecke_cc • Show schema

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-0.14982485966417852, -0.3676436154753352, 0.30277587407968526, -0.39560768685337266], 'char_orbit_index': 6, 'conrey_index': 2, 'dual_conrey_index': 14, 'dual_embedding_index': 14, 'dual_embedding_m': 83, 'embedding_index': 14, 'embedding_m': 14, 'hecke_orbit': 1, 'hecke_orbit_code': 343748378651, 'label': '27.9.f.a.2.14', 'level': 27, 'weight': 9}

Column	Type
ALdims	integer[]
Nk2	integer
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision
char_conductor	integer
char_degree	integer
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
conrey_index	integer
cusp_dim	integer
dihedral_dim	integer
dim	integer
eis_dim	integer
eis_new_dim	integer
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint
hecke_orbit_dims	integer[]
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
mf_dim	integer
mf_new_dim	integer
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint
relative_dim	integer
s4_dim	integer
sturm_bound	integer
trace_bound	integer
trace_display	numeric[]
traces	numeric[]
weight	smallint
weight_parity	smallint

mf_newspaces • Show schema

{'Nk2': 2187, 'analytic_conductor': 10.999222471650434, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 18, 'char_parity': -1, 'char_values': [27, 18, [2], [1]], 'conrey_index': 2, 'cusp_dim': 138, 'dim': 138, 'eis_dim': 12, 'eis_new_dim': 12, 'hecke_cutter_primes': [], 'hecke_orbit_code': 343748378651, 'hecke_orbit_dims': [138], 'label': '27.9.f', 'level': 27, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 150, 'mf_new_dim': 150, 'num_forms': 1, 'prim_orbit_index': 6, 'relative_dim': 23, 'sturm_bound': 27, 'trace_bound': 0, 'trace_display': [-6, -6, -447, -6], 'traces': [138, -6, -6, -6, -447, -774, -6, -9, -12960, -3, 28668, 77421, -6, -120975, 105507, -774, -9, -241317, -3, 137913, 1164372, -185478, 68376, -2624256, 507585, 0, 3500568, 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-3812693227242, -3185221070322, 11645229250809, 12847507278723, 11468490374484, 7749148744071, 13075096575366, 36005808128427, 828376464588, 24301590926499, 17431793857248, -5194134687186, 17026389724686, 16610959867374, -9001933412928, 0, -4027433829777, -4767264842052], 'weight': 9, 'weight_parity': -1}

Column	Type
conductor	integer
degree	integer
order	integer
parity	smallint
source_conrey_index	integer
source_dim	integer
source_embedding_index	integer
source_hecke_orbit_code	bigint
source_is_minimal	boolean
source_label	text
source_level	integer
target_conrey_index	integer
target_dim	integer
target_embedding_index	integer
target_hecke_orbit_code	bigint
target_is_minimal	boolean
target_label	text
target_level	integer
twist_class_label	text
twist_class_level	integer
twisting_char_label	text
twisting_conrey_index	integer
weight	smallint

mf_twists_cc • Show schema

id: 3727797
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 138, 'source_embedding_index': 14, 'source_hecke_orbit_code': 343748378651, 'source_is_minimal': True, 'source_label': '27.9.f.a.2.14', 'source_level': 27, 'target_conrey_index': 2, 'target_dim': 138, 'target_embedding_index': 14, 'target_hecke_orbit_code': 343748378651, 'target_is_minimal': True, 'target_label': '27.9.f.a.2.14', 'target_level': 27, 'twist_class_label': '27.9.f.a.2.14', 'twist_class_level': 27, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 9}
id: 3727798
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2, 'source_dim': 138, 'source_embedding_index': 14, 'source_hecke_orbit_code': 343748378651, 'source_is_minimal': True, 'source_label': '27.9.f.a.2.14', 'source_level': 27, 'target_conrey_index': 8, 'target_dim': 138, 'target_embedding_index': 10, 'target_hecke_orbit_code': 343748378705, 'target_is_minimal': False, 'target_label': '81.9.f.a.8.10', 'target_level': 81, 'twist_class_label': '27.9.f.a.2.14', 'twist_class_level': 27, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 9}
id: 3727799
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 138, 'source_embedding_index': 14, 'source_hecke_orbit_code': 343748378651, 'source_is_minimal': True, 'source_label': '27.9.f.a.2.14', 'source_level': 27, 'target_conrey_index': 71, 'target_dim': 138, 'target_embedding_index': 10, 'target_hecke_orbit_code': 343748378705, 'target_is_minimal': False, 'target_label': '81.9.f.a.71.10', 'target_level': 81, 'twist_class_label': '27.9.f.a.2.14', 'twist_class_level': 27, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 9}
id: 3727800
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 2, 'source_dim': 138, 'source_embedding_index': 14, 'source_hecke_orbit_code': 343748378651, 'source_is_minimal': True, 'source_label': '27.9.f.a.2.14', 'source_level': 27, 'target_conrey_index': 14, 'target_dim': 138, 'target_embedding_index': 14, 'target_hecke_orbit_code': 343748378651, 'target_is_minimal': True, 'target_label': '27.9.f.a.14.14', 'target_level': 27, 'twist_class_label': '27.9.f.a.2.14', 'twist_class_level': 27, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 9}

hecke_orbit_code 343748378651 does not appear in mf_hecke_charpolys

Column	Type
char_orbit_index	smallint
hecke_orbit	integer
label	text
level	integer
portrait	text
weight	smallint

mf_newform_portraits • Show schema

{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '27.9.f.a', 'level': 27, 'portrait': 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', 'weight': 9}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 8551218
{'hecke_orbit_code': 343748378651, 'n': 1, 'trace_an': 138}
id: 8551219
{'hecke_orbit_code': 343748378651, 'n': 2, 'trace_an': -6}
id: 8551220
{'hecke_orbit_code': 343748378651, 'n': 3, 'trace_an': -6}
id: 8551221
{'hecke_orbit_code': 343748378651, 'n': 4, 'trace_an': -6}
id: 8551222
{'hecke_orbit_code': 343748378651, 'n': 5, 'trace_an': -447}
id: 8551223
{'hecke_orbit_code': 343748378651, 'n': 6, 'trace_an': -774}
id: 8551224
{'hecke_orbit_code': 343748378651, 'n': 7, 'trace_an': -6}
id: 8551225
{'hecke_orbit_code': 343748378651, 'n': 8, 'trace_an': -9}
id: 8551226
{'hecke_orbit_code': 343748378651, 'n': 9, 'trace_an': -12960}
id: 8551227
{'hecke_orbit_code': 343748378651, 'n': 10, 'trace_an': -3}
id: 8551228
{'hecke_orbit_code': 343748378651, 'n': 11, 'trace_an': 28668}
id: 8551229
{'hecke_orbit_code': 343748378651, 'n': 12, 'trace_an': 77421}
id: 8551230
{'hecke_orbit_code': 343748378651, 'n': 13, 'trace_an': -6}
id: 8551231
{'hecke_orbit_code': 343748378651, 'n': 14, 'trace_an': -120975}
id: 8551232
{'hecke_orbit_code': 343748378651, 'n': 15, 'trace_an': 105507}
id: 8551233
{'hecke_orbit_code': 343748378651, 'n': 16, 'trace_an': -774}
id: 8551234
{'hecke_orbit_code': 343748378651, 'n': 17, 'trace_an': -9}
id: 8551235
{'hecke_orbit_code': 343748378651, 'n': 18, 'trace_an': -241317}
id: 8551236
{'hecke_orbit_code': 343748378651, 'n': 19, 'trace_an': -3}
id: 8551237
{'hecke_orbit_code': 343748378651, 'n': 20, 'trace_an': 137913}
id: 8551238
{'hecke_orbit_code': 343748378651, 'n': 21, 'trace_an': 1164372}
id: 8551239
{'hecke_orbit_code': 343748378651, 'n': 22, 'trace_an': -185478}
id: 8551240
{'hecke_orbit_code': 343748378651, 'n': 23, 'trace_an': 68376}
id: 8551241
{'hecke_orbit_code': 343748378651, 'n': 24, 'trace_an': -2624256}
id: 8551242
{'hecke_orbit_code': 343748378651, 'n': 25, 'trace_an': 507585}
id: 8551243
{'hecke_orbit_code': 343748378651, 'n': 26, 'trace_an': 0}
id: 8551244
{'hecke_orbit_code': 343748378651, 'n': 27, 'trace_an': 3500568}
id: 8551245
{'hecke_orbit_code': 343748378651, 'n': 28, 'trace_an': -12}
id: 8551246
{'hecke_orbit_code': 343748378651, 'n': 29, 'trace_an': -943980}
id: 8551247
{'hecke_orbit_code': 343748378651, 'n': 30, 'trace_an': -1533627}
id: 8551248
{'hecke_orbit_code': 343748378651, 'n': 31, 'trace_an': 920739}
id: 8551249
{'hecke_orbit_code': 343748378651, 'n': 32, 'trace_an': -3005136}
id: 8551250
{'hecke_orbit_code': 343748378651, 'n': 33, 'trace_an': -1245285}
id: 8551251
{'hecke_orbit_code': 343748378651, 'n': 34, 'trace_an': 660474}
id: 8551252
{'hecke_orbit_code': 343748378651, 'n': 35, 'trace_an': 6225408}
id: 8551253
{'hecke_orbit_code': 343748378651, 'n': 36, 'trace_an': 4021128}
id: 8551254
{'hecke_orbit_code': 343748378651, 'n': 37, 'trace_an': -3}
id: 8551255
{'hecke_orbit_code': 343748378651, 'n': 38, 'trace_an': -23716884}
id: 8551256
{'hecke_orbit_code': 343748378651, 'n': 39, 'trace_an': -5699685}
id: 8551257
{'hecke_orbit_code': 343748378651, 'n': 40, 'trace_an': -975273}
id: 8551258
{'hecke_orbit_code': 343748378651, 'n': 41, 'trace_an': 16694382}
id: 8551259
{'hecke_orbit_code': 343748378651, 'n': 42, 'trace_an': 1594134}
id: 8551260
{'hecke_orbit_code': 343748378651, 'n': 43, 'trace_an': 4412514}
id: 8551261
{'hecke_orbit_code': 343748378651, 'n': 44, 'trace_an': 17341119}
id: 8551262
{'hecke_orbit_code': 343748378651, 'n': 45, 'trace_an': 12986721}
id: 8551263
{'hecke_orbit_code': 343748378651, 'n': 46, 'trace_an': -3}
id: 8551264
{'hecke_orbit_code': 343748378651, 'n': 47, 'trace_an': -11341869}
id: 8551265
{'hecke_orbit_code': 343748378651, 'n': 48, 'trace_an': -26229183}
id: 8551266
{'hecke_orbit_code': 343748378651, 'n': 49, 'trace_an': 11347482}
id: 8551267
{'hecke_orbit_code': 343748378651, 'n': 50, 'trace_an': -40948977}
id: 8551268
{'hecke_orbit_code': 343748378651, 'n': 51, 'trace_an': -16497396}
id: 8551269
{'hecke_orbit_code': 343748378651, 'n': 52, 'trace_an': 14465511}
id: 8551270
{'hecke_orbit_code': 343748378651, 'n': 53, 'trace_an': 0}
id: 8551271
{'hecke_orbit_code': 343748378651, 'n': 54, 'trace_an': 34106454}
id: 8551272
{'hecke_orbit_code': 343748378651, 'n': 55, 'trace_an': -12}
id: 8551273
{'hecke_orbit_code': 343748378651, 'n': 56, 'trace_an': 52215771}
id: 8551274
{'hecke_orbit_code': 343748378651, 'n': 57, 'trace_an': 26766582}
id: 8551275
{'hecke_orbit_code': 343748378651, 'n': 58, 'trace_an': -19078611}
id: 8551276
{'hecke_orbit_code': 343748378651, 'n': 59, 'trace_an': 76116738}
id: 8551277
{'hecke_orbit_code': 343748378651, 'n': 60, 'trace_an': -24031170}
id: 8551278
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id: 8551279
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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.