LMFDB - Embedded newform data

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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': 3700, 'analytic_conductor': 19.056325938063306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [37, 3, [2], [2]], 'cm_discs': [], 'conrey_index': 10, 'dim': 54, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 137606725669, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 37, 3, 1, 3, 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': '37.10.c.a', 'level': 37, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [37], 'level_radical': 37, 'minimal_twist': '37.10.c.a', 'prim_orbit_index': 3, 'related_objects': [], 'relative_dim': 27, 'rm_discs': [], 'sato_tate_group': '9.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '37.10.c', 'trace_display': [32, 73, 2729, 4231], 'traces': [54, 32, 73, -6486, 2729, 1020, 4231, -7848, -140840, -82404, -108196, 45492, -29827, -504992, 87135, -1561814, 116991, 1767678, -599677, 4122556, -221017, -257914, 1752736, 1149408, -6037260, -16731604, -1916582, 1917318, -11336100, -20390006, 14447580, -873740, -4494200, 13736524, -8546699, 61692836, -1919410, -85447920, -14035313, 3210182, 28676571, -101904850, 56602028, 153011074, 104234980, 99535572, -147509100, -203670880, -201857540, -91421384, 328228338, -69374156, 59137361, 201615042, -219079762, 202573590, -5989161, -157098688, 137993791, 413427232, -244884419, 109345558, -995908592, 184008092, 248745395, 1965122248, -130143913, 667610796, 246927272, -291173360, 473387559, 366188748, 923638972, -885443390, -2185997392, -337459826, -586609928, -261025842, 563110723, 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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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0.21735948139652625, -0.19017049878853623, -0.247520050097438, -0.3026166985629159, -0.3454521692200686, 0.014405900016870409, -0.4885017651102706, -0.3295462838439976, -0.12553290553176094, -0.2625369894166701, -0.16530880093877368, 0.012214394795611035, -0.3182017894053285, -0.2574930178481958, -0.4741240024968635, -0.4708880581235252, -0.14795640377609723, -0.3293340364166816, 0.1674377939360661, -0.25419401675225844, -0.23796659602957757, -0.4401370345915551], 'char_orbit_index': 3, 'conrey_index': 10, 'dual_conrey_index': 26, 'dual_embedding_index': 21, 'dual_embedding_m': 48, 'embedding_index': 21, 'embedding_m': 21, 'hecke_orbit': 1, 'hecke_orbit_code': 137606725669, 'label': '37.10.c.a.10.21', 'level': 37, 'weight': 10}

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': 3700, 'analytic_conductor': 19.056325938063306, 'char_conductor': 37, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [37, 3, [2], [2]], 'conrey_index': 10, 'cusp_dim': 54, 'dim': 54, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [], 'hecke_orbit_code': 137606725669, 'hecke_orbit_dims': [54], 'label': '37.10.c', 'level': 37, 'level_is_powerful': False, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [37], 'level_radical': 37, 'mf_dim': 58, 'mf_new_dim': 58, 'num_forms': 1, 'prim_orbit_index': 3, 'relative_dim': 27, 'sturm_bound': 31, 'trace_bound': 0, 'trace_display': [32, 73, 2729, 4231], 'traces': [54, 32, 73, -6486, 2729, 1020, 4231, -7848, -140840, -82404, -108196, 45492, -29827, -504992, 87135, -1561814, 116991, 1767678, -599677, 4122556, -221017, -257914, 1752736, 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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: 1612459
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 10, 'source_dim': 54, 'source_embedding_index': 21, 'source_hecke_orbit_code': 137606725669, 'source_is_minimal': True, 'source_label': '37.10.c.a.10.21', 'source_level': 37, 'target_conrey_index': 10, 'target_dim': 54, 'target_embedding_index': 21, 'target_hecke_orbit_code': 137606725669, 'target_is_minimal': True, 'target_label': '37.10.c.a.10.21', 'target_level': 37, 'twist_class_label': '37.10.c.a.10.21', 'twist_class_level': 37, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 10}
id: 1612460
{'conductor': 37, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 10, 'source_dim': 54, 'source_embedding_index': 21, 'source_hecke_orbit_code': 137606725669, 'source_is_minimal': True, 'source_label': '37.10.c.a.10.21', 'source_level': 37, 'target_conrey_index': 26, 'target_dim': 54, 'target_embedding_index': 21, 'target_hecke_orbit_code': 137606725669, 'target_is_minimal': True, 'target_label': '37.10.c.a.26.21', 'target_level': 37, 'twist_class_label': '37.10.c.a.10.21', 'twist_class_level': 37, 'twisting_char_label': '37.26', 'twisting_conrey_index': 26, 'weight': 10}

hecke_orbit_code 137606725669 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': 3, 'hecke_orbit': 1, 'label': '37.10.c.a', 'level': 37, 'portrait': 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', 'weight': 10}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 6154879
{'hecke_orbit_code': 137606725669, 'n': 1, 'trace_an': 54}
id: 6154880
{'hecke_orbit_code': 137606725669, 'n': 2, 'trace_an': 32}
id: 6154881
{'hecke_orbit_code': 137606725669, 'n': 3, 'trace_an': 73}
id: 6154882
{'hecke_orbit_code': 137606725669, 'n': 4, 'trace_an': -6486}
id: 6154883
{'hecke_orbit_code': 137606725669, 'n': 5, 'trace_an': 2729}
id: 6154884
{'hecke_orbit_code': 137606725669, 'n': 6, 'trace_an': 1020}
id: 6154885
{'hecke_orbit_code': 137606725669, 'n': 7, 'trace_an': 4231}
id: 6154886
{'hecke_orbit_code': 137606725669, 'n': 8, 'trace_an': -7848}
id: 6154887
{'hecke_orbit_code': 137606725669, 'n': 9, 'trace_an': -140840}
id: 6154888
{'hecke_orbit_code': 137606725669, 'n': 10, 'trace_an': -82404}
id: 6154889
{'hecke_orbit_code': 137606725669, 'n': 11, 'trace_an': -108196}
id: 6154890
{'hecke_orbit_code': 137606725669, 'n': 12, 'trace_an': 45492}
id: 6154891
{'hecke_orbit_code': 137606725669, 'n': 13, 'trace_an': -29827}
id: 6154892
{'hecke_orbit_code': 137606725669, 'n': 14, 'trace_an': -504992}
id: 6154893
{'hecke_orbit_code': 137606725669, 'n': 15, 'trace_an': 87135}
id: 6154894
{'hecke_orbit_code': 137606725669, 'n': 16, 'trace_an': -1561814}
id: 6154895
{'hecke_orbit_code': 137606725669, 'n': 17, 'trace_an': 116991}
id: 6154896
{'hecke_orbit_code': 137606725669, 'n': 18, 'trace_an': 1767678}
id: 6154897
{'hecke_orbit_code': 137606725669, 'n': 19, 'trace_an': -599677}
id: 6154898
{'hecke_orbit_code': 137606725669, 'n': 20, 'trace_an': 4122556}
id: 6154899
{'hecke_orbit_code': 137606725669, 'n': 21, 'trace_an': -221017}
id: 6154900
{'hecke_orbit_code': 137606725669, 'n': 22, 'trace_an': -257914}
id: 6154901
{'hecke_orbit_code': 137606725669, 'n': 23, 'trace_an': 1752736}
id: 6154902
{'hecke_orbit_code': 137606725669, 'n': 24, 'trace_an': 1149408}
id: 6154903
{'hecke_orbit_code': 137606725669, 'n': 25, 'trace_an': -6037260}
id: 6154904
{'hecke_orbit_code': 137606725669, 'n': 26, 'trace_an': -16731604}
id: 6154905
{'hecke_orbit_code': 137606725669, 'n': 27, 'trace_an': -1916582}
id: 6154906
{'hecke_orbit_code': 137606725669, 'n': 28, 'trace_an': 1917318}
id: 6154907
{'hecke_orbit_code': 137606725669, 'n': 29, 'trace_an': -11336100}
id: 6154908
{'hecke_orbit_code': 137606725669, 'n': 30, 'trace_an': -20390006}
id: 6154909
{'hecke_orbit_code': 137606725669, 'n': 31, 'trace_an': 14447580}
id: 6154910
{'hecke_orbit_code': 137606725669, 'n': 32, 'trace_an': -873740}
id: 6154911
{'hecke_orbit_code': 137606725669, 'n': 33, 'trace_an': -4494200}
id: 6154912
{'hecke_orbit_code': 137606725669, 'n': 34, 'trace_an': 13736524}
id: 6154913
{'hecke_orbit_code': 137606725669, 'n': 35, 'trace_an': -8546699}
id: 6154914
{'hecke_orbit_code': 137606725669, 'n': 36, 'trace_an': 61692836}
id: 6154915
{'hecke_orbit_code': 137606725669, 'n': 37, 'trace_an': -1919410}
id: 6154916
{'hecke_orbit_code': 137606725669, 'n': 38, 'trace_an': -85447920}
id: 6154917
{'hecke_orbit_code': 137606725669, 'n': 39, 'trace_an': -14035313}
id: 6154918
{'hecke_orbit_code': 137606725669, 'n': 40, 'trace_an': 3210182}
id: 6154919
{'hecke_orbit_code': 137606725669, 'n': 41, 'trace_an': 28676571}
id: 6154920
{'hecke_orbit_code': 137606725669, 'n': 42, 'trace_an': -101904850}
id: 6154921
{'hecke_orbit_code': 137606725669, 'n': 43, 'trace_an': 56602028}
id: 6154922
{'hecke_orbit_code': 137606725669, 'n': 44, 'trace_an': 153011074}
id: 6154923
{'hecke_orbit_code': 137606725669, 'n': 45, 'trace_an': 104234980}
id: 6154924
{'hecke_orbit_code': 137606725669, 'n': 46, 'trace_an': 99535572}
id: 6154925
{'hecke_orbit_code': 137606725669, 'n': 47, 'trace_an': -147509100}
id: 6154926
{'hecke_orbit_code': 137606725669, 'n': 48, 'trace_an': -203670880}
id: 6154927
{'hecke_orbit_code': 137606725669, 'n': 49, 'trace_an': -201857540}
id: 6154928
{'hecke_orbit_code': 137606725669, 'n': 50, 'trace_an': -91421384}
id: 6154929
{'hecke_orbit_code': 137606725669, 'n': 51, 'trace_an': 328228338}
id: 6154930
{'hecke_orbit_code': 137606725669, 'n': 52, 'trace_an': -69374156}
id: 6154931
{'hecke_orbit_code': 137606725669, 'n': 53, 'trace_an': 59137361}
id: 6154932
{'hecke_orbit_code': 137606725669, 'n': 54, 'trace_an': 201615042}
id: 6154933
{'hecke_orbit_code': 137606725669, 'n': 55, 'trace_an': -219079762}
id: 6154934
{'hecke_orbit_code': 137606725669, 'n': 56, 'trace_an': 202573590}
id: 6154935
{'hecke_orbit_code': 137606725669, 'n': 57, 'trace_an': -5989161}
id: 6154936
{'hecke_orbit_code': 137606725669, 'n': 58, 'trace_an': -157098688}
id: 6154937
{'hecke_orbit_code': 137606725669, 'n': 59, 'trace_an': 137993791}
id: 6154938
{'hecke_orbit_code': 137606725669, 'n': 60, 'trace_an': 413427232}
id: 6154939
{'hecke_orbit_code': 137606725669, 'n': 61, 'trace_an': -244884419}
id: 6154940
{'hecke_orbit_code': 137606725669, 'n': 62, 'trace_an': 109345558}
id: 6154941
{'hecke_orbit_code': 137606725669, 'n': 63, 'trace_an': -995908592}
id: 6154942
{'hecke_orbit_code': 137606725669, 'n': 64, 'trace_an': 184008092}
id: 6154943
{'hecke_orbit_code': 137606725669, 'n': 65, 'trace_an': 248745395}
id: 6154944
{'hecke_orbit_code': 137606725669, 'n': 66, 'trace_an': 1965122248}
id: 6154945
{'hecke_orbit_code': 137606725669, 'n': 67, 'trace_an': -130143913}
id: 6154946
{'hecke_orbit_code': 137606725669, 'n': 68, 'trace_an': 667610796}
id: 6154947
{'hecke_orbit_code': 137606725669, 'n': 69, 'trace_an': 246927272}
id: 6154948
{'hecke_orbit_code': 137606725669, 'n': 70, 'trace_an': -291173360}
id: 6154949
{'hecke_orbit_code': 137606725669, 'n': 71, 'trace_an': 473387559}
id: 6154950
{'hecke_orbit_code': 137606725669, 'n': 72, 'trace_an': 366188748}
id: 6154951
{'hecke_orbit_code': 137606725669, 'n': 73, 'trace_an': 923638972}
id: 6154952
{'hecke_orbit_code': 137606725669, 'n': 74, 'trace_an': -885443390}
id: 6154953
{'hecke_orbit_code': 137606725669, 'n': 75, 'trace_an': -2185997392}
id: 6154954
{'hecke_orbit_code': 137606725669, 'n': 76, 'trace_an': -337459826}
id: 6154955
{'hecke_orbit_code': 137606725669, 'n': 77, 'trace_an': -586609928}
id: 6154956
{'hecke_orbit_code': 137606725669, 'n': 78, 'trace_an': -261025842}
id: 6154957
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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.