LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-07-22T01:39:33.676865

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': 576, 'analytic_conductor': 2.8114652293570956, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, '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': [9, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 4, 'dim': 12, 'field_disc': 91531093176953551602105996844944, 'field_disc_factorization': [[2, 4], [3, 6], [3527, 2], [25116268057, 2]], 'field_poly': [754412211, -449098992, 513267363, -131054670, 72369348, -8342916, 3002887, -192378, 50808, -1820, 375, -6, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 137573171209, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3673320192, 'hecke_ring_index_factorization': [[2, 8], [3, 15]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '9.8.c.a', 'level': 9, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '9.8.c.a', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{2}-\\beta _{3})q^{2}+(1-\\beta _{1}-\\beta _{4}+\\beta _{6}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9.8.c', 'trace_display': [-9, 24, -180, -84], 'trace_hash': 1699086156589516936, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.811', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '496.091', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '45433.651', 'prec': 30}], 'trace_zratio': 0, 'traces': [12, -9, 24, -321, -180, -1233, -84, 5922, 990, 252, -8460, 8052, -1848, -16272, -1188, -12417, 30564, 42876, 24432, -40788, -187224, -35001, -51588, 215469, 4746, 536472, 322272, 75516, -414648, -1112112, 8196, -1048977, -148518, -106623, 2210616, 2501811, 139344, -1952685, -2057316, 305496, -1731582, 538866, 408372, 5169114, 2687580, -1684008, -1631484, -7434525, -179010, -1654461, 2525688, 681594, 2835648, 5816529, -16056, -1784466, -3071850, -948384, -2055636, 371484, -2723196, -1026828, -2238804, 7178178, -1387620, 5754762, 3806556, 2142639, -3002292, 953442, 2408400, -9638325, -10670052, 9846504, 19174632, -6727827, 3478824, -13339962, 6020916, -38072448, -28538730, 9403002, 9605052, 30090090, -1698624, 34278561, 10290708, -16459029, -24630264, -13660596, 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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], [0.6289669617024528, 1.0894027339508765], [0.9775863386007322, -0.21053491534948457], [-0.29119887782642956, 0.5043712515024181], [-0.5198536869173476, 0.9004129982428501], [0.8442268215653727, 0.9325657239050166], [-0.6126105420225652, -1.0610725840353916], [0.525316029654293, 0.0], [0.9113500988375708, -0.4116321140882354], [-1.307883175960889, 0.0], [-0.508640425996455, -0.8809910606093376], [-0.17848428603920602, 0.5543739761447702], [-0.15379735188782656, 0.2663848275392648], [0.7706235826456512, -1.3347591986530218], [-0.3186334880369871, 0.9896787981499966], [0.6216053049316859, 1.0766519703960247], [0.7851869817635924, 0.0], [1.0216422531827998, 0.7339242891228163], [-1.6706852180307805, 0.0], [-0.30276162052852734, -0.5243985093372977], [-0.8222725234235995, -0.9083141538098536], [0.6398360466760632, -1.108228541356953], [-0.5945504115474639, 1.0297915204611932], [0.5135417740380139, -0.1105973658349939], [-0.04049571160311928, 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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': 576, 'analytic_conductor': 2.8114652293570956, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [9, 3, [2], [1]], 'conrey_index': 4, 'cusp_dim': 12, 'dim': 12, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [], 'hecke_orbit_code': 137573171209, 'hecke_orbit_dims': [12], 'label': '9.8.c', 'level': 9, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 16, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 3, 'relative_dim': 6, 'sturm_bound': 8, 'trace_bound': 0, 'trace_display': [-9, 24, -180, -84], 'traces': [12, -9, 24, -321, -180, -1233, -84, 5922, 990, 252, -8460, 8052, -1848, -16272, -1188, -12417, 30564, 42876, 24432, -40788, -187224, -35001, -51588, 215469, 4746, 536472, 322272, 75516, 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53757983088, -67375582956, -65040017124, 167076248382, 36414120672, -80299366704], 'weight': 8, '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: 1584485
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 4, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 137573171209, 'target_is_minimal': True, 'target_label': '9.8.c.a.4.5', 'target_level': 9, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
id: 1584486
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 10, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137573171227, 'target_is_minimal': False, 'target_label': '27.8.c.a.10.2', 'target_level': 27, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
id: 1584487
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749144772752, 'target_is_minimal': False, 'target_label': '144.8.i.c.49.1', 'target_level': 144, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 8}
id: 1584488
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 19, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137573171227, 'target_is_minimal': False, 'target_label': '27.8.c.a.19.2', 'target_level': 27, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
id: 1584489
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398643699793, 'target_is_minimal': False, 'target_label': '81.8.a.e.1.2', 'target_level': 81, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 8}
id: 1584490
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007199388958801, 'target_is_minimal': False, 'target_label': '81.8.a.c.1.5', 'target_level': 81, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 8}
id: 1584491
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 137573171209, 'target_is_minimal': True, 'target_label': '9.8.c.a.7.5', 'target_level': 9, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
id: 1584492
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 145, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007749144773040, 'target_is_minimal': False, 'target_label': '432.8.i.c.145.5', 'target_level': 432, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 8}
id: 1584493
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 97, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749144772752, 'target_is_minimal': False, 'target_label': '144.8.i.c.97.1', 'target_level': 144, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 8}
id: 1584494
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 12, 'source_embedding_index': 5, 'source_hecke_orbit_code': 137573171209, 'source_is_minimal': True, 'source_label': '9.8.c.a.4.5', 'source_level': 9, 'target_conrey_index': 289, 'target_dim': 12, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007749144773040, 'target_is_minimal': False, 'target_label': '432.8.i.c.289.5', 'target_level': 432, 'twist_class_label': '9.8.c.a.4.5', 'twist_class_level': 9, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 8}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 37200
{'charpoly_factorization': [[[145838444544, -113338248192, 110682402048, 15255205632, 4207749120, 116748864, 35538480, 755568, 222048, 1512, 585, 9, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 2}
id: 37201
{'charpoly_factorization': [[[109418989131512359209, -1200757082375992968, -4735496038176927, -1023524640207144, 46426534299315, -584057910528, 2230989318, -267058944, 9706635, -97848, -207, -24, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 3}
id: 37202
{'charpoly_factorization': [[[1007684923722527289600000000, -32975408015055149040000000, 770322599150743467000000, -9703378327631394825000, 94903969264929590625, -503995503987616500, 2389294939761450, -3178916244360, 37979473779, -26226720, 248202, 180, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 5}
id: 37203
{'charpoly_factorization': [[[10459315992515420330835972645957904, 76303157503774935880130027348928, 430636108218325870429141699332, 1122369414627823298921855920, 2520400110642230948048889, 2600197356720331801188, 4277692297206463254, 3077338094170704, 5387478050331, 1770885760, 2563662, 84, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 7}
id: 37204
{'charpoly_factorization': [[[8306287179539574370328692849145537002881, -105862996604961582268773545899935945300, 1462024333900926050508865392229610235, 1507941333844013440173732029786844, 1086470204306592379427686371150, 431935772839180583026239180, 134075348713940307241671, 27336384336310742700, 4880947283718030, 604367457084, 91186875, 8460, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 11}
id: 37205
{'charpoly_factorization': [[[5085445974338393482779403355200965736971664, -35051645107674800809397596054860691256016, 258292838144500893425035363564189182108, 114237114509010431062691971445589340, 57346984512218882610883066352121, 4434423321392220748970261556, 1393845918500434526202318, 23756247588230745876, 28247038051483755, 31523289448, 191302374, 1848, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 13}
id: 37206
{'charpoly_factorization': [[[-166492700082847130382576, -210520402376070624768, 23819070253947912, 6928758379224, -484771311, -15282, 1], 2]], 'hecke_orbit_code': 137573171209, 'p': 17}
id: 37207
{'charpoly_factorization': [[[16800857993345791317702400, -4097703949275237392640, -6177865427566176, 47934324957872, -2178600105, -12216, 1], 2]], 'hecke_orbit_code': 137573171209, 'p': 19}
id: 37208
{'charpoly_factorization': [[[736381078280459663954858347598848252598027776385722871184, 49283317441494281941295809409994432889135169940834144, 2753156478801150757898098800144708600077413740660, 69982152299845159884448822604167905114945192, 1796821146845599021788990301212167299737, 25456031861643700157136654371508588, 543091652427864043992008690550, 5937168340897754325716664, 112476803303472907275, 716527050576912, 12697786062, 51588, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 23}
id: 37209
{'charpoly_factorization': [[[532057724244295754588874856393480417685747998779865368432144, -1793012666127803441581246237521180897146547834733082064, 358494316191701633922239921454550927774161007138476, 6166726967055558886237643492429950535817630732, 198342056351626545237500580009243833905785, 2131821655287833319229796606089628868, 31842340738418692384132677541038, 273117881403612424315680804, 3242644481797807783995, 22028720301269064, 135268599366, 414648, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 29}
id: 37210
{'charpoly_factorization': [[[23468844393856368237160903197166690982318875493617338009856, -161763910076662215338637419060150348900759319742160640, 65296809440083631260703252885623700091911988723408, -458544663543877951323950904303820121555594192, 167961074057218857913908554596128005285793, -1083625354283473284305735227495964292, 37518058541431370477212451926602, 212651856506884780294366752, 4404523265113811643027, 6451569859919728, 69691718442, -8196, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 31}
id: 37211
{'charpoly_factorization': [[[17418862107440803407817401220864, -491456418650607169453513728, 3376495561527784807440, 11815889715571808, -141218470488, -69672, 1], 2]], 'hecke_orbit_code': 137573171209, 'p': 37}
id: 37212
{'charpoly_factorization': [[[45282851761795003502607028646500086798364838712085132110417959361, 1308932986062708434968739949989216622997543807685981464070526, 23044119915412767160853041429352395772108645773670707941, 260594030007855346980578318759333581206720731999802, 2170219916990119452869100761131178044450919754, 13285411991582203549964490915730935712374, 62587178561807167763410799103349101, 223120544354028216133251542262, 612274278522700618321482, 1235551527278951994, 1831713942501, 1731582, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 41}
id: 37213
{'charpoly_factorization': [[[27557979075100619877206901604279081049325564229900313002799569, 4223518966170785770733405475457351039976098268637468140844, 465914446457149025981936849850434297992081968433314915, 24590163770183995994572536495547082575656744874492, 951706156022632486241703505145667946349483982, 11700297312709616840180193146338668890508, 118292993998555439195041524944799615, -188492481328851796536573505236, 597026475349547487798510, -320366815838863268, 878668216707, -408372, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 43}
id: 37214
{'charpoly_factorization': [[[564724551267362763110391658154113550075443846596843957536876231631504, 134911033797841013321103607511119419383154764011429818521069088, 16177412402239211011155587205188176429733671601551057688916, 78650823986862031946102847926212465503601280861946168, 484245253345795942429281853368351456338652873273, 1224318287662512031253410828885444282857972, 2685766956135316130486276524031295366, 3158131682027764997210818564776, 3802096323364028228989947, 2592701717579400816, 3200682807486, 1631484, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 47}
id: 37215
{'charpoly_factorization': [[[5402882262492230209304996929906944, -319677840433138846410991027584, 717530329340506736539920, 1454104216442591136, -1718420349240, -1417824, 1], 2]], 'hecke_orbit_code': 137573171209, 'p': 53}
id: 37216
{'charpoly_factorization': [[[741632559097749766198360000916527462515255515250151505454627385823045889, 921636073053167347585611433727903541296877373593255043385839613556, 7611528441767130382560020642513397762805818126800561204841723, 15889963258164650991115244467284025602227465800301227332, 75461035095936051954203581783788223460242882034190, 116552773597117181567511079397216928272109012, 155721248325644185498530742725132759303, 99957432740648405328284883994548, 60039116436590650856661966, 17716941175833463716, 9122111226171, 2055636, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 59}
id: 37217
{'charpoly_factorization': [[[75544288050274163470084972631003866440905530419257314535437810810064896, -1372202721152537468447163716706643462828320977198492035434374645760, 24163544836924385957820593527385376064527968443072256907449664, -21842006494760707608512221231751963723268112237997005664, 79158123924418452652374507371012193229357118726337, 85898665691493807748861658354851311347752668, 185396593902194633159023101111146397162, 87618712074763509936713217535056, 63933514841235295809962163, 16526313380192931760, 12050151578922, 2723196, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 61}
id: 37218
{'charpoly_factorization': [[[21087592025060443804195299967622887076864699729158154446652597875918042849, -6863354249731070651628548239129700130460185409972267190974673820252, 191488341557478176428868885257434349370041954250886987299685483, 403416201782544053464337679454134873835254453166846268212, 1584371673946061547139962147676719239382190845557070, 1589424336170185980799661129756943411309699204, 1906731472648763990240526661856883747735, -158897189458482989310858781601532, 262761815752475304369423438, -25941409321770929228, 27229651719915, -3806556, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 67}
id: 37219
{'charpoly_factorization': [[[8106591877797115679954159136162484224, -1027521401136604152359934136320, -33842673785975575338028800, 40787314436585096064, -13890082998960, -1204200, 1], 2]], 'hecke_orbit_code': 137573171209, 'p': 71}
id: 37220
{'charpoly_factorization': [[[344405939156137638975499835601692582416, 508719564021119403164672035754304, 19551044827333362061416840, -131329755466299389896, -22545849061407, 5335026, 1], 2]], 'hecke_orbit_code': 137573171209, 'p': 73}
id: 37221
{'charpoly_factorization': [[[115301280451088568655287417865676719071681972594461466791277558988521689344, 347258283302071949470329339847703826416776249072032019247232831990144, 1284629274315903113446486823132684696049006372168870042774130608, 205746535059890520759556555460283049944573923362381970008, 1792198905444227315374317579463430769648689676758145, 449931636734679693610235255117695233149289108, 1835293370063602117691516071867469050218, -145679385673855035689358042409608, 315373721273041675237600851, -32850825669858801056, 45100854651306, -6020916, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 79}
id: 37222
{'charpoly_factorization': [[[584572611721233025531740549625894198554844070491425054750133846016805982464, 905286105657186835690711774555243340629302228106708029937609646690304, 3116804664619873736679500287792675284487912055509453010599541904, -2529177686422923618208268996309973037451827521423735917184, 4478872621362591071261962623387596025339800754490593, -2058727477785945970351007601301784217703916364, 2320497620412471281049992686178160621354, -1395343020485100849261590843187408, 767699100404821104428532627, -252838391807765147472, 65388859118154, -9605052, 1], 1]], 'hecke_orbit_code': 137573171209, 'p': 83}
id: 37223
{'charpoly_factorization': [[[-147669584185232509339792295886968971200, -106294039174738850913024266963520, 455382261468937725280156656, -235259565886362197088, -2412113525892, 12315132, 1], 2]], 'hecke_orbit_code': 137573171209, 'p': 89}
id: 37224
{'charpoly_factorization': [[[8353119227195047912808059837475416562717836707147438129029283782807300015230429969, 2521043447416492244808744103605346649096550758043930112468500292884773008518, 1226367582542975128778268347878567730150315182293654112252551284416125, 87032754322398483965546303280116631446316542884239087997350946, 47326113120255786259319180806003194447890497539485419722, -564635425283459262898260199511132000425571118594, 1812920684096288873227763246372670529619925, -102302063453738421290736928146263058, 27398494529805250674614083050, -1075877134109665680686, 241223734290333, -9977226, 1], 1]], 'hecke_orbit_code': 137573171209, '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': 3, 'hecke_orbit': 1, 'label': '9.8.c.a', 'level': 9, 'portrait': 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', 'weight': 8}

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: 6098377
{'hecke_orbit_code': 137573171209, 'n': 1, 'trace_an': 12}
id: 6098378
{'hecke_orbit_code': 137573171209, 'n': 2, 'trace_an': -9}
id: 6098379
{'hecke_orbit_code': 137573171209, 'n': 3, 'trace_an': 24}
id: 6098380
{'hecke_orbit_code': 137573171209, 'n': 4, 'trace_an': -321}
id: 6098381
{'hecke_orbit_code': 137573171209, 'n': 5, 'trace_an': -180}
id: 6098382
{'hecke_orbit_code': 137573171209, 'n': 6, 'trace_an': -1233}
id: 6098383
{'hecke_orbit_code': 137573171209, 'n': 7, 'trace_an': -84}
id: 6098384
{'hecke_orbit_code': 137573171209, 'n': 8, 'trace_an': 5922}
id: 6098385
{'hecke_orbit_code': 137573171209, 'n': 9, 'trace_an': 990}
id: 6098386
{'hecke_orbit_code': 137573171209, 'n': 10, 'trace_an': 252}
id: 6098387
{'hecke_orbit_code': 137573171209, 'n': 11, 'trace_an': -8460}
id: 6098388
{'hecke_orbit_code': 137573171209, 'n': 12, 'trace_an': 8052}
id: 6098389
{'hecke_orbit_code': 137573171209, 'n': 13, 'trace_an': -1848}
id: 6098390
{'hecke_orbit_code': 137573171209, 'n': 14, 'trace_an': -16272}
id: 6098391
{'hecke_orbit_code': 137573171209, 'n': 15, 'trace_an': -1188}
id: 6098392
{'hecke_orbit_code': 137573171209, 'n': 16, 'trace_an': -12417}
id: 6098393
{'hecke_orbit_code': 137573171209, 'n': 17, 'trace_an': 30564}
id: 6098394
{'hecke_orbit_code': 137573171209, 'n': 18, 'trace_an': 42876}
id: 6098395
{'hecke_orbit_code': 137573171209, 'n': 19, 'trace_an': 24432}
id: 6098396
{'hecke_orbit_code': 137573171209, 'n': 20, 'trace_an': -40788}
id: 6098397
{'hecke_orbit_code': 137573171209, 'n': 21, 'trace_an': -187224}
id: 6098398
{'hecke_orbit_code': 137573171209, 'n': 22, 'trace_an': -35001}
id: 6098399
{'hecke_orbit_code': 137573171209, 'n': 23, 'trace_an': -51588}
id: 6098400
{'hecke_orbit_code': 137573171209, 'n': 24, 'trace_an': 215469}
id: 6098401
{'hecke_orbit_code': 137573171209, 'n': 25, 'trace_an': 4746}
id: 6098402
{'hecke_orbit_code': 137573171209, 'n': 26, 'trace_an': 536472}
id: 6098403
{'hecke_orbit_code': 137573171209, 'n': 27, 'trace_an': 322272}
id: 6098404
{'hecke_orbit_code': 137573171209, 'n': 28, 'trace_an': 75516}
id: 6098405
{'hecke_orbit_code': 137573171209, 'n': 29, 'trace_an': -414648}
id: 6098406
{'hecke_orbit_code': 137573171209, 'n': 30, 'trace_an': -1112112}
id: 6098407
{'hecke_orbit_code': 137573171209, 'n': 31, 'trace_an': 8196}
id: 6098408
{'hecke_orbit_code': 137573171209, 'n': 32, 'trace_an': -1048977}
id: 6098409
{'hecke_orbit_code': 137573171209, 'n': 33, 'trace_an': -148518}
id: 6098410
{'hecke_orbit_code': 137573171209, 'n': 34, 'trace_an': -106623}
id: 6098411
{'hecke_orbit_code': 137573171209, 'n': 35, 'trace_an': 2210616}
id: 6098412
{'hecke_orbit_code': 137573171209, 'n': 36, 'trace_an': 2501811}
id: 6098413
{'hecke_orbit_code': 137573171209, 'n': 37, 'trace_an': 139344}
id: 6098414
{'hecke_orbit_code': 137573171209, 'n': 38, 'trace_an': -1952685}
id: 6098415
{'hecke_orbit_code': 137573171209, 'n': 39, 'trace_an': -2057316}
id: 6098416
{'hecke_orbit_code': 137573171209, 'n': 40, 'trace_an': 305496}
id: 6098417
{'hecke_orbit_code': 137573171209, 'n': 41, 'trace_an': -1731582}
id: 6098418
{'hecke_orbit_code': 137573171209, 'n': 42, 'trace_an': 538866}
id: 6098419
{'hecke_orbit_code': 137573171209, 'n': 43, 'trace_an': 408372}
id: 6098420
{'hecke_orbit_code': 137573171209, 'n': 44, 'trace_an': 5169114}
id: 6098421
{'hecke_orbit_code': 137573171209, 'n': 45, 'trace_an': 2687580}
id: 6098422
{'hecke_orbit_code': 137573171209, 'n': 46, 'trace_an': -1684008}
id: 6098423
{'hecke_orbit_code': 137573171209, 'n': 47, 'trace_an': -1631484}
id: 6098424
{'hecke_orbit_code': 137573171209, 'n': 48, 'trace_an': -7434525}
id: 6098425
{'hecke_orbit_code': 137573171209, 'n': 49, 'trace_an': -179010}
id: 6098426
{'hecke_orbit_code': 137573171209, 'n': 50, 'trace_an': -1654461}
id: 6098427
{'hecke_orbit_code': 137573171209, 'n': 51, 'trace_an': 2525688}
id: 6098428
{'hecke_orbit_code': 137573171209, 'n': 52, 'trace_an': 681594}
id: 6098429
{'hecke_orbit_code': 137573171209, 'n': 53, 'trace_an': 2835648}
id: 6098430
{'hecke_orbit_code': 137573171209, 'n': 54, 'trace_an': 5816529}
id: 6098431
{'hecke_orbit_code': 137573171209, 'n': 55, 'trace_an': -16056}
id: 6098432
{'hecke_orbit_code': 137573171209, 'n': 56, 'trace_an': -1784466}
id: 6098433
{'hecke_orbit_code': 137573171209, 'n': 57, 'trace_an': -3071850}
id: 6098434
{'hecke_orbit_code': 137573171209, 'n': 58, 'trace_an': -948384}
id: 6098435
{'hecke_orbit_code': 137573171209, 'n': 59, 'trace_an': -2055636}
id: 6098436
{'hecke_orbit_code': 137573171209, 'n': 60, 'trace_an': 371484}
id: 6098437
{'hecke_orbit_code': 137573171209, 'n': 61, 'trace_an': -2723196}
id: 6098438
{'hecke_orbit_code': 137573171209, 'n': 62, 'trace_an': -1026828}
id: 6098439
{'hecke_orbit_code': 137573171209, 'n': 63, 'trace_an': -2238804}
id: 6098440
{'hecke_orbit_code': 137573171209, 'n': 64, 'trace_an': 7178178}
id: 6098441
{'hecke_orbit_code': 137573171209, 'n': 65, 'trace_an': -1387620}
id: 6098442
{'hecke_orbit_code': 137573171209, 'n': 66, 'trace_an': 5754762}
id: 6098443
{'hecke_orbit_code': 137573171209, 'n': 67, 'trace_an': 3806556}
id: 6098444
{'hecke_orbit_code': 137573171209, 'n': 68, 'trace_an': 2142639}
id: 6098445
{'hecke_orbit_code': 137573171209, 'n': 69, 'trace_an': -3002292}
id: 6098446
{'hecke_orbit_code': 137573171209, 'n': 70, 'trace_an': 953442}
id: 6098447
{'hecke_orbit_code': 137573171209, 'n': 71, 'trace_an': 2408400}
id: 6098448
{'hecke_orbit_code': 137573171209, 'n': 72, 'trace_an': -9638325}
id: 6098449
{'hecke_orbit_code': 137573171209, 'n': 73, 'trace_an': -10670052}
id: 6098450
{'hecke_orbit_code': 137573171209, 'n': 74, 'trace_an': 9846504}
id: 6098451
{'hecke_orbit_code': 137573171209, 'n': 75, 'trace_an': 19174632}
id: 6098452
{'hecke_orbit_code': 137573171209, 'n': 76, 'trace_an': -6727827}
id: 6098453
{'hecke_orbit_code': 137573171209, 'n': 77, 'trace_an': 3478824}
id: 6098454
{'hecke_orbit_code': 137573171209, 'n': 78, 'trace_an': -13339962}
id: 6098455
{'hecke_orbit_code': 137573171209, 'n': 79, 'trace_an': 6020916}
id: 6098456
{'hecke_orbit_code': 137573171209, 'n': 80, 'trace_an': -38072448}
id: 6098457
{'hecke_orbit_code': 137573171209, 'n': 81, 'trace_an': -28538730}
id: 6098458
{'hecke_orbit_code': 137573171209, 'n': 82, 'trace_an': 9403002}
id: 6098459
{'hecke_orbit_code': 137573171209, 'n': 83, 'trace_an': 9605052}
id: 6098460
{'hecke_orbit_code': 137573171209, 'n': 84, 'trace_an': 30090090}
id: 6098461
{'hecke_orbit_code': 137573171209, 'n': 85, 'trace_an': -1698624}
id: 6098462
{'hecke_orbit_code': 137573171209, 'n': 86, 'trace_an': 34278561}
id: 6098463
{'hecke_orbit_code': 137573171209, 'n': 87, 'trace_an': 10290708}
id: 6098464
{'hecke_orbit_code': 137573171209, 'n': 88, 'trace_an': -16459029}
id: 6098465
{'hecke_orbit_code': 137573171209, 'n': 89, 'trace_an': -24630264}
id: 6098466
{'hecke_orbit_code': 137573171209, 'n': 90, 'trace_an': -13660596}
id: 6098467
{'hecke_orbit_code': 137573171209, 'n': 91, 'trace_an': 13570104}
id: 6098468
{'hecke_orbit_code': 137573171209, 'n': 92, 'trace_an': 39143394}
id: 6098469
{'hecke_orbit_code': 137573171209, 'n': 93, 'trace_an': 27331212}
id: 6098470
{'hecke_orbit_code': 137573171209, 'n': 94, 'trace_an': 12602808}
id: 6098471
{'hecke_orbit_code': 137573171209, 'n': 95, 'trace_an': 10422072}
id: 6098472
{'hecke_orbit_code': 137573171209, 'n': 96, 'trace_an': -3404376}
id: 6098473
{'hecke_orbit_code': 137573171209, 'n': 97, 'trace_an': 9977226}
id: 6098474
{'hecke_orbit_code': 137573171209, 'n': 98, 'trace_an': -95833314}
id: 6098475
{'hecke_orbit_code': 137573171209, 'n': 99, 'trace_an': -49382676}
id: 6098476
{'hecke_orbit_code': 137573171209, 'n': 100, 'trace_an': -44812770}

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 $\F_{q}$
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.