LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-09-21T09:23:13.295187

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': 18144, 'analytic_conductor': 96.8112407505082, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [3, 1]], 'cm_discs': [], 'conrey_index': 37, 'dim': 8, 'field_disc': 3526760731428807755975914777655169600, 'field_disc_factorization': [[2, 6], [3, 4], [5, 2], [13, 2], [347, 2], [7691, 2], [150359149, 2]], 'field_poly': [3315283474489744081, -5894448091672309, 195840371083183, 333205096780, 8539617914, 6576400, 101803, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [17225709655645447878922127015625, -1622209162897256701989375000, 689019644363713022688750, -11788329664442898000, 15476505336152775, -187838634480, 185514886, 7504, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014811027669118, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 265531392, 'hecke_ring_index_factorization': [[2, 12], [3, 3], [7, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '126.12.g.e', 'level': 126, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '14.12.c.a', 'prim_orbit_index': 3, 'qexp_display': 'q+2^{5}\\beta _{2}q^{2}+(-2^{10}+2^{10}\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '11.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '126.12.g', 'trace_display': [128, 0, -7504, -42224], 'trace_hash': 581530796774036417, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '7.906', 'prec': 14}, {'__RealLiteral__': 0, 'data': '3.314', 'prec': 14}, {'__RealLiteral__': 0, 'data': '280.563', 'prec': 20}, {'__RealLiteral__': 0, 'data': '564.328', 'prec': 20}, {'__RealLiteral__': 0, 'data': '19030.291', 'prec': 27}], 'trace_zratio': 0, 'traces': [8, 128, 0, -4096, -7504, 0, -42224, -262144, 0, 240128, -213026, 0, -2609712, -1257536, 0, -4194304, -8854244, 0, 7232806, 15368192, 0, -13633664, 10649134, 0, -119407256, -41755392, 0, 2996224, 221414576, 0, 486231270, 134217728, 0, -566671616, 756166390, 0, 463131040, -231449792, 0, 245891072, 1617723408, 0, 2926896352, -218138624, 0, -340772288, 894091254, 0, -11608958872, -7642064384, 0, 1336172544, 1448863512, 0, -25123348964, 1383596032, 0, 3542633216, -14386900738, 0, 10854402216, 31118801280, 0, 8589934592, -5495584080, 0, 19629545546, -9066745856, 0, 13390987456, 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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

{'an_normalized': [[1.0, 0.0], [0.3535533905932738, -0.6123724356957945], [0.0, 0.0], [-0.25, -0.4330127018922193], [-0.5247946234310096, 0.908970951321485], [0.0, 0.0], [-0.6327446309577969, 0.7743605310151606], [-0.3535533905932738, 0.0], [0.0, 0.0], [0.3710858369583075, 0.6427395235810093], [0.04514851851120974, 0.07819952794787924], [0.0, 0.0], [-1.3616711670273964, 0.0], [0.25048803482962384, 0.6612531621150807], [0.0, 0.0], [-0.125, 0.21650635094610965], [-0.5735919762412126, -0.9934904456636207], [0.0, 0.0], [-0.8298470560405282, 1.4373372635736523], [0.5247946234310096, 0.0], [0.0, 0.0], [0.06384964719960555, 0.0], [-0.3381498604380966, 0.5856927388511084], [0.0, 0.0], [-0.05081879356419032, -0.0880207324325319], [-0.481423457975636, 0.8338498891693019], [0.0, 0.0], [0.4934941035130176, 0.08039632950504072], [-0.21620200525665126, 0.0], [0.0, 0.0], [0.32307555674634, 0.5595832789682629], [0.08838834764831845, 0.15309310892394862], [0.0, 0.0], [-0.811181552068709, 0.0], [-0.3718102482111706, -0.9815267324192084], [0.0, 0.0], [0.6179821732335353, -1.0703765222123147], [0.5867904806739505, 1.0163509259250456], [0.0, 0.0], [0.18554291847915375, -0.32136976179050464], [1.6965622934971565, 0.0], [0.0, 0.0], [-1.0689592332521538, 0.0], [0.02257425925560487, -0.03909976397393962], [0.0, 0.0], [0.23910805937306276, 0.41414730733334043], [0.5086402316666429, -0.8809907240202295], [0.0, 0.0], [-0.19926846398816275, -0.9799449368509427], [-0.0718686270819165, 0.0], [0.0, 0.0], [0.3404177917568491, 0.5896209111232644], [0.7529494224937676, 1.3041466552888499], [0.0, 0.0], [-0.09477479908223313, 0.0], [0.22370900965481882, -0.27377779128201796], [0.0, 0.0], [-0.07643895201155385, 0.1323961485613305], [-0.5248828147421715, -0.9091237031532036], [0.0, 0.0], [0.4419566309952606, -0.7654913396257614], [0.45689783402191253, 0.0], [0.0, 0.0], [0.125, 0.0], [0.7145977073370059, -1.2377195360799293], [0.0, 0.0], [-0.7050590199187753, -1.2211980448340358], [-0.2867959881206063, 0.49674522283181033], [0.0, 0.0], [-0.7325146897444711, -0.11933575689101562], [0.049311564637721406, 0.0], [0.0, 0.0], [0.3111097891228429, 0.5388579614928031], [-0.4369793853458325, -0.7568704972792009], [0.0, 0.0], [0.8298470560405282, 0.0], [-0.08912211067052132, -0.014519100683566596], [0.0, 0.0], [-0.6529184647229732, 1.1308879541000572], [-0.1311986558577524, -0.22724273783037124], [0.0, 0.0], [0.5998253512186205, -1.038927983978497], [1.0529453919175078, 0.0], [0.0, 0.0], [1.2040719406982232, 0.0], [-0.3779341613222852, 0.6546011693261303], [0.0, 0.0], [-0.015962411799901387, -0.027647708248766178], [-0.16868419781060592, 0.29216960104196826], [0.0, 0.0], [0.8615901200666227, -1.0544244079673681], [0.3381498604380966, 0.0], [0.0, 0.0], [-0.35966295699577966, -0.6229545151171505], [-0.8709985465602419, -1.5086137359609852], [0.0, 0.0], [-1.0399844866438719, 0.0], [-0.670543308908502, -0.22443634036857144], [0.0, 0.0], [-0.02540939678209516, 0.04401036621626595]], 'angles': [None, None, 0.17126227342648906, None, -0.07614528001934959, -0.3691915917831888, -0.4861080918098967, 0.23911952823963226, -0.47156720443222583, -0.26723849510289654, -0.030974933691053506, -0.3106418573897868, -0.08881887026706207, -0.33974618659999994, -0.33174083712971825, 0.052351433269725994, -0.49538790351363077, -0.34380892033713645, -0.4587935767308267, -0.24607551267870179, -0.03298298816383267, 0.1965611242520896, -0.16175711824948893, -0.4436425676411332, -0.337032586656789, -0.03285806971001435, -0.445295431402373, -0.2670940948579117, -0.10569274556152895, -0.2786546645939395, -0.3413010349514489, 0.22293277720439073, -0.09534598503553225, -0.2630641297703282, -0.2944004724827456, -0.0818672222685833, -0.1026078148552948, -0.21301359078228344, -0.21358311655058693, -0.33833995474982237, -0.09489250623346925, -0.14323117377397246, -0.43983596731898816, -0.37756579371786686, -0.26295528753381575, -0.03883407258007986, -0.19398878415793577, -0.22225988302261077, 0.040279999190178724, 0.26422355902706285, -0.3789267647654161, -0.34509243848664456, 0.05256156909798242, -0.12139416961012432, -0.48434409934148237, -0.06914572058915251, -0.046087714811445524, -0.49425843382846435, 0.00700790909834569, -0.2885716618047517, -0.059248106939421716, -0.24023841712138538, -0.2935303792386061, -0.4811338833765114, -0.4023026223450455, -0.31083636771089684, -0.41070624747401524, -0.25277001159957135, -0.07954952777746915, -0.21472198022157357, -0.04878980037123212, 0.1674487824825262, -0.1438442835706041, -0.26952387813937645, -0.27739753444229254, -0.3768076500395516, -0.09362020795077712, -0.4364233252949063, -0.339800910309389, -0.1294950342724258, -0.4007028387435851, -0.24392896610346607, -0.14212338914010786, -0.34193177537193215, -0.3425918502925197, -0.4611281313560595, -0.20679631984850105, -0.40662805772166877, -0.16516817842537113, -0.3954410233833189, 0.21928918870038983, -0.07642609567004113, 0.0033076872074584507, -0.3191624687077784, -0.3781130174500225, -0.20160764244168247, -0.4693639957039853, -0.038921875632071515, -0.4335768441166204, -0.3998241151519368], 'char_orbit_index': 7, 'conrey_index': 37, 'dual_conrey_index': 109, 'dual_embedding_index': 2, 'dual_embedding_m': 6, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 264.34417215515134, 'embedding_root_real': 152.6191789524854, 'hecke_orbit': 5, 'hecke_orbit_code': 18014811027669118, 'label': '126.12.g.e.37.2', 'level': 126, 'weight': 12}

Column	Type
ALdims	integer[]
ALdims_eis_new	integer[]
ALdims_eis_old	integer[]
ALdims_old	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': 18144, 'analytic_conductor': 96.8112407505082, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [3, 1]], 'conrey_index': 37, 'cusp_dim': 512, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 412518187134, 'hecke_orbit_dims': [6, 6, 8, 8, 8, 8, 14, 14], 'label': '126.12.g', 'level': 126, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 544, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 36, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, 0, -1188, 76732], 'traces': [72, 0, 0, -36864, -1188, 0, 76732, 0, 0, 281728, 504864, 0, -3595760, -2318976, 0, -37748736, -11747772, 0, 8284944, 2433024, 0, 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-22798145606123520, 0, -45856819840151936, 60219560091028536, 0, -24325781016034632, -6532051051160064, 0, -14524186986807296, 80963819411250564, 0, -232004556922408992, 72790053175922688, 0, 59086986249290112, 34489548164898576, 0, -167244147164831392, 33811539700753152, 0, 121632065526628352, -1242821191227624, 0, -4272059229206604, -10235348105822208, 0, 118191538783576576, 240490451208417552, 0, 53432891155919280, 63670448013125760, 0, -71460682182426624], 'weight': 12, '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: 44375115
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014811027669118, 'target_is_minimal': False, 'target_label': '126.12.g.e.37.2', 'target_level': 126, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 12}
id: 44375116
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137640280078, 'target_is_minimal': True, 'target_label': '14.12.c.a.9.1', 'target_level': 14, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 12}
id: 44375117
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 109, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014811027669118, 'target_is_minimal': False, 'target_label': '126.12.g.e.109.2', 'target_level': 126, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 12}
id: 44375118
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 65, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 549957140592, 'target_is_minimal': False, 'target_label': '112.12.i.a.65.4', 'target_level': 112, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 12}
id: 44375119
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396847661154, 'target_is_minimal': False, 'target_label': '98.12.a.j.1.4', 'target_level': 98, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 12}
id: 44375120
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539596102402146, 'target_is_minimal': False, 'target_label': '98.12.a.l.1.1', 'target_level': 98, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 12}
id: 44375121
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 11, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137640280078, 'target_is_minimal': True, 'target_label': '14.12.c.a.11.1', 'target_level': 14, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 12}
id: 44375122
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 67, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49539733541355618, 'target_is_minimal': False, 'target_label': '98.12.c.l.67.4', 'target_level': 98, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 12}
id: 44375123
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 79, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49539733541355618, 'target_is_minimal': False, 'target_label': '98.12.c.l.79.4', 'target_level': 98, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 12}
id: 44375124
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18014811027669118, 'source_is_minimal': False, 'source_label': '126.12.g.e.37.2', 'source_level': 126, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 549957140592, 'target_is_minimal': False, 'target_label': '112.12.i.a.81.4', 'target_level': 112, 'twist_class_label': '14.12.c.a.9.1', 'twist_class_level': 14, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 12}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 353225
{'charpoly_factorization': [[[1024, -32, 1], 4]], 'hecke_orbit_code': 18014811027669118, 'p': 2}
id: 353226
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014811027669118, 'p': 3}
id: 353227
{'charpoly_factorization': [[[17225709655645447878922127015625, -1622209162897256701989375000, 689019644363713022688750, -11788329664442898000, 15476505336152775, -187838634480, 185514886, 7504, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 5}
id: 353228
{'charpoly_factorization': [[[15286700631942576193765185769276826401, 326433478820927137587164674241168, 26179819725805642130641425676, 456281133345765214563664, 18889896722818413446, 230756568160048, 6695912524, 42224, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 7}
id: 353229
{'charpoly_factorization': [[[8418893370385146121216754504901777901055625, -250193745704686960813965822726119697150, 5830404999750438430335797432580264, -46457961339401349965003256084, 290470130936789540973921, -290284363132232964, 598496186224, 213026, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 11}
id: 353230
{'charpoly_factorization': [[[4501347212540596575435600, -2785353057713377760, -3826939276440, 1304856, 1], 2]], 'hecke_orbit_code': 18014811027669118, 'p': 13}
id: 353231
{'charpoly_factorization': [[[48516469546895778986460307916250970094533636031687841, 58503337447296873790449009682073600004896779332, 66073655842224823183843224583410943714842, 9293446583698612454557686526117392, 2984255475728962972001216643, 351431415581220556176, 98701836730618, 8854244, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 17}
id: 353232
{'charpoly_factorization': [[[161681177456120948947542269947973221978246945054124017225, 27921809509033707227911117519387980140905674878570, 9494723021916563405962444534180711367165464, -623027171622123710072317910901355300, 138212539256435198899805774017, -1733863744696938363124, 419798673484096, -7232806, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 19}
id: 353233
{'charpoly_factorization': [[[258628610146193943467871720479631591150270289747136153511009, 3078032345107116153801750529192672308462388695542010, 817331623780503726963332788427703507897087804, 1539970993801491220824151004216864244, 1912523666827629383424044159301, 4242806041770098214372, 1648534402426924, -10649134, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 23}
id: 353234
{'charpoly_factorization': [[[-373521990088461941886592791216, 56088050562848724823008, -210435713644440, -110707288, 1], 2]], 'hecke_orbit_code': 18014811027669118, 'p': 29}
id: 353235
{'charpoly_factorization': [[[523090079682637930952451170117165014663218409274580486452028623025, -4690487531348467269336091491872822069589895745027276341710, 74376324353387493051155080409180978182326583696324, -413548015303828281481024244683423987211244, 5873211336557689867379983792496109, -34697068279590153757702396, 191737423846091748, -486231270, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 31}
id: 353236
{'charpoly_factorization': [[[679344127710815297304281565644389882495411294299704045805891192465289, -5518600168243566364451124902900357557907868183011944561627768, 35953048566295831497746924714127631229905802384576494, -96252955000767920377377440965626495473865904, 240116054247440376617742066194539879, -265729778653190220462796432, 555067403882724934, -463131040, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 37}
id: 353237
{'charpoly_factorization': [[[-177053051630341431296119720832293296, 1292343095051615128278296736, -1481059151822116440, -808861704, 1], 2]], 'hecke_orbit_code': 18014811027669118, 'p': 41}
id: 353238
{'charpoly_factorization': [[[310412031439486023580035507686713600, 1381830373497989082095944960, -1521286339691442720, -1463448176, 1], 2]], 'hecke_orbit_code': 18014811027669118, 'p': 43}
id: 353239
{'charpoly_factorization': [[[2484452835324557295027874298283565698731507103184956072372079652509449681, 1682035343396516049365034300239520318665779300458941379432733506, 4939886594240880836951844999377203001949181738374784020, 245116813071845260266476026095251170888562964, 5193435553587158937074438463142675389, 21866502821868890229130884, 3210940871882166420, -894091254, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 47}
id: 353240
{'charpoly_factorization': [[[31174345528979535661764524369942848617692208333893369798459076333903313401, -117261188440169901268395642891090414554319503924659021871553352944, 336707589993803424581867325988745807509632496062209065878, -408748853576193155891611429581105951522103268976, 385411582889932918315241863573846753743, -14921021362347134328992010192, 20791436619072931902, -1448863512, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 53}
id: 353241
{'charpoly_factorization': [[[16545007511206226620078929502102715914447413325820046904422461121228130250025, 20865739602523800658971396416384152842884159665289335272647075153250, 16799782492993827076525854187063974762857442016389238377240, 8298807115597241770775130669879188333350036161420, 3009665306865340265566019357676046035249, 739815868478442577500621914076, 133009176156617070592, 14386900738, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 59}
id: 353242
{'charpoly_factorization': [[[8440305567671950582176441251049769103881868031290409038867105499271294888662681, -3086057837187009695293116191651531532869077864720014460778603307145776, 932453191598477059801879841097205054624572837523175719291750, -134701095561373640712571201908873809653557956794704, 18982702986989343877125436114194737134719, -1392527863608297109560222583024, 185252761486304880750, -10854402216, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 61}
id: 353243
{'charpoly_factorization': [[[341693869852201193756951014593308215736680933635436195631031532776992146231108441, -84615094728904456798220051003726312749153477903430966274793524721866074, 17646839042373323039508702618816783117880786061788815682306288, -1544568277739944339611872077170660250062046709636140, 140340615634002614271600711737299220611049, -5643512050420460171175727633660, 564207911255633887528, -19629545546, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 67}
id: 353244
{'charpoly_factorization': [[[2930510209066294790474696966513663287296, -3377776333570521305881021231104, -709819987014967726272, 737402464, 1], 2]], 'hecke_orbit_code': 18014811027669118, 'p': 71}
id: 353245
{'charpoly_factorization': [[[40655369063592290876392608105678742540068804476653614757543204534078037009926225, -13036585752187533703359174165108495203398647034373270422385992209268220, 4062916468370883213841394124980015278992845882809148350833154, -310804189923402798514731001212980533946961316293232, 50510516800740148622092048212082898435627, -3694750755458864771029191604528, 477236546858358483058, -21420158732, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 73}
id: 353246
{'charpoly_factorization': [[[739543682734198710829164779594635527805966168280779737218488546253901738569300625, -66989587185422510047292664931547850265543103000326196925719752801175250, 32349978582302367862124821165159144754555269193127130344246100, 5657415142064530215504555343211027607237019280949900, 812793696933335431113264450836078593275165, 53297688606570518077056747954140, 2663169105294295095636, 60246238086, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 79}
id: 353247
{'charpoly_factorization': [[[-47841421674965904327155157805085737507584, 14912715291201228579234338827008, 854073897311816080032, -69946791152, 1], 2]], 'hecke_orbit_code': 18014811027669118, 'p': 83}
id: 353248
{'charpoly_factorization': [[[591182146573589503450933129607268640967886741284936612406481472952327057480062979921, 85256695345393705794519713348201779718404063440680746182523196492911872252, 7885970985201218795900195687210552400521570336014683078484950402, 441569314515498303552387232058803699712714388373887600, 18106002188609756115245097913603264550642859, 502821285577703592006148661421360, 10230771890356114585842, 126354105612, 1], 1]], 'hecke_orbit_code': 18014811027669118, 'p': 89}
id: 353249
{'charpoly_factorization': [[[-180095785663321832734293326038871262548686000, -2836349539025469411447768832204064, 6963941305472990177640, 269091442088, 1], 2]], 'hecke_orbit_code': 18014811027669118, 'p': 97}

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': 7, 'hecke_orbit': 5, 'label': '126.12.g.e', 'level': 126, 'portrait': 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', 'weight': 12}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema
Showing the first 100 of 258 matching records in this table.

id: 41108665
{'hecke_orbit_code': 18014811027669118, 'n': 1, 'trace_an': 8}
id: 41108666
{'hecke_orbit_code': 18014811027669118, 'n': 2, 'trace_an': 128}
id: 41108667
{'hecke_orbit_code': 18014811027669118, 'n': 3, 'trace_an': 0}
id: 41108668
{'hecke_orbit_code': 18014811027669118, 'n': 4, 'trace_an': -4096}
id: 41108669
{'hecke_orbit_code': 18014811027669118, 'n': 5, 'trace_an': -7504}
id: 41108670
{'hecke_orbit_code': 18014811027669118, 'n': 6, 'trace_an': 0}
id: 41108671
{'hecke_orbit_code': 18014811027669118, 'n': 7, 'trace_an': -42224}
id: 41108672
{'hecke_orbit_code': 18014811027669118, 'n': 8, 'trace_an': -262144}
id: 41108673
{'hecke_orbit_code': 18014811027669118, 'n': 9, 'trace_an': 0}
id: 41108674
{'hecke_orbit_code': 18014811027669118, 'n': 10, 'trace_an': 240128}
id: 41108675
{'hecke_orbit_code': 18014811027669118, 'n': 11, 'trace_an': -213026}
id: 41108676
{'hecke_orbit_code': 18014811027669118, 'n': 12, 'trace_an': 0}
id: 41108677
{'hecke_orbit_code': 18014811027669118, 'n': 13, 'trace_an': -2609712}
id: 41108678
{'hecke_orbit_code': 18014811027669118, 'n': 14, 'trace_an': -1257536}
id: 41108679
{'hecke_orbit_code': 18014811027669118, 'n': 15, 'trace_an': 0}
id: 41108680
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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.