LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-09-14T21:52:57.056874

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': 37632, 'analytic_conductor': 183.6823949846636, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [588, 1, [295, 197, 493], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 131330795836, 'field_disc_factorization': [[2, 2], [46831, 1], [701089, 1]], 'field_poly': [-84, -5704, -655, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [371328300, 4896540, -102093, 196, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396780552780, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1512, 'hecke_ring_index_factorization': [[2, 3], [3, 3], [7, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '588.8.a.j', 'level': 588, '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': '84.8.i.a', 'prim_orbit_index': 1, 'qexp_display': 'q+3^{3}q^{3}+(-7^{2}-\\beta _{2})q^{5}+3^{6}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '588.8.a', 'trace_display': [0, 108, -196, 0], 'trace_hash': 1949996278706207458, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.815', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '39.526', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '617.598', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 4}, 'traces': [4, 0, 108, 0, -196, 0, 0, 0, 2916, 0, -406, 0, -1974, 0, -5292, 0, -7436, 0, 15874, 0, 0, 0, 6788, 0, -69898, 0, 78732, 0, -94544, 0, -55890, 0, -10962, 0, 0, 0, -93742, 0, -53298, 0, -6972, 0, -243922, 0, -142884, 0, -650484, 0, 0, 0, -200772, 0, -368880, 0, 1195768, 0, 428598, 0, 96026, 0, -3618156, 0, 0, 0, -974160, 0, 316006, 0, 183276, 0, 6218156, 0, -1287286, 0, -1887246, 0, 0, 0, -8187282, 0, 2125764, 0, -3693650, 0, 10966964, 0, -2552688, 0, -14489928, 0, 0, 0, -1509030, 0, -18406792, 0, -11861290, 0, -295974, 0, 2205188, 0, -17980202, 0, 0, 0, -17848182, 0, -18490370, 0, -2531034, 0, 12349852, 0, -29770268, 0, -1439046, 0, 0, 0, -19482466, 0, -188244, 0, -51624840, 0, -37249254, 0, -6585894, 0, -44829202, 0, 0, 0, -3857868, 0, -32817920, 0, 33661934, 0, -17563068, 0, 43273512, 0, -65742526, 0, 0, 0, 9547992, 0, -8666240, 0, 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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], [0.0, 0.0], [0.5773502691896257, 0.0], [0.0, 0.0], [0.5730445801188737, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.3333333333333333, 0.0], [0.0, 0.0], [0.7167087581392052, 0.0], [0.0, 0.0], [0.6023599314738909, 0.0], [0.0, 0.0], [0.33084744258928783, 0.0], [0.0, 0.0], [0.6422257559274418, 0.0], [0.0, 0.0], [-1.475574938539674, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.115082288664341, 0.0], [0.0, 0.0], [-0.6716199091963837, 0.0], [0.0, 0.0], [0.19245008972987526, 0.0], [0.0, 0.0], [-1.8738977782863708, 0.0], [0.0, 0.0], [-1.812611872593505, 0.0], [0.0, 0.0], [0.4137919944422325, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.677832697624753, 0.0], [0.0, 0.0], [0.3477726685854954, 0.0], [0.0, 0.0], [0.8561875385272695, 0.0], [0.0, 0.0], [-0.13698792624233871, 0.0], [0.0, 0.0], [0.19101486003962456, 0.0], [0.0, 0.0], [-1.568975423956886, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.3707892130652194, 0.0], [0.0, 0.0], [-0.3402076683223998, 0.0], [0.0, 0.0], [0.4107060693754003, 0.0], [0.0, 0.0], [-0.8519235879753463, 0.0], [0.0, 0.0], [-0.6541512626405135, 0.0], [0.0, 0.0], [0.1820202285060528, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.34517909401188934, 0.0], [0.0, 0.0], [-0.009556876582685826, 0.0], [0.0, 0.0], [-0.6437930595289412, 0.0], [0.0, 0.0], [0.9423628311813083, 0.0], [0.0, 0.0], [-0.20249532153778999, 0.0], [0.0, 0.0], [-0.38775993536764414, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.19599534646988948, 0.0], [0.0, 0.0], [0.1111111111111111, 0.0], [0.0, 0.0], [-1.405728288993337, 0.0], [0.0, 0.0], [0.36802398864696717, 0.0], [0.0, 0.0], [-1.0818953867274779, 0.0], [0.0, 0.0], [-0.6958702845161128, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0465119525781719, 0.0], [0.0, 0.0], [-0.8455702210894004, 0.0], [0.0, 0.0], [-0.10588977511906901, 0.0], [0.0, 0.0], [0.23890291937973507, 0.0], [0.0, 0.0]], 'angles': [None, None, -0.2037503758740356, None, -0.19166898012804667, -0.20130975448874255, -0.19797155450531448, -0.3820646705650439, -0.3441275596521995, -0.4431814375125334, -0.43055485858373344, -0.09159481937069038, -0.17959264820036808, -0.2609096945008625, -0.3935370074443272, -0.27720515624157555, -0.3030315944601562, -0.23549521978853727, -0.2507605149685451, -0.17191385517321908, -0.2661417245887717, -0.26562188672739007, -0.374047913310657, -0.30655853080889456, -0.25843038231921467, -0.09540846745103923, -0.22083148048331214, -0.300712250355949, -0.29164023272575634, -0.13068409810614218, -0.2962040983145324, -0.30015222246972856, -0.35097185856906066, -0.22158927821688462, -0.21127864613902644, -0.051550137736899836, -0.16606612839775162, -0.23098506431266572, -0.15853940417968138, -0.26890715868730564, -0.3583154026618605, -0.32436816822970704, -0.4178081087706919, -0.23651761346380035, -0.2906028087099963, -0.26103184316284267, -0.3327126440830074, -0.36234360869536697, -0.20340344508355357, -0.1910505156097055, -0.22718388029150846, -0.32388845390042786, -0.12940016574385627, -0.2583765929049469, -0.22617969083164238, -0.06342050670042328, -0.24468264943002235, -0.3773878465965204, -0.2701655443644094, -0.4360085087451799, -0.07098839036615011, -0.14046322657249707, -0.16190141523944312, -0.27267776720268266, -0.3142880115613329, -0.43313788678669285, -0.23270518365181156, -0.34678354692632735, -0.37372391799123394, -0.3629940666935283, -0.07518175655051644, -0.3484617807473592, -0.1839208429308514, -0.3360217679327018, -0.20524389309473406, -0.15473134587130646, -0.2146372003444442, -0.33401974611684193, -0.1748453932639213, -0.39365640286495096, -0.3635516556767845, -0.3223716559863859, -0.2828512465909605, -0.18716347407547587, -0.33109768305799536, -0.20950333218969847, -0.30358771199881956, -0.3026690593540698, -0.19400597193123112, -0.40226476959318597, -0.219175124716354, -0.15004193713303066, -0.11343622355264933, -0.18832780594416812, -0.14081039476451435, -0.0791526662140817, -0.4414484205824008, -0.20503753393637716, -0.21874446094256472, -0.08283759368524934], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.014751494714795279, 'hecke_orbit': 10, 'hecke_orbit_code': 40532396780552780, 'label': '588.8.a.j.1.4', 'level': 588, 'weight': 8}

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

{'ALdims': [0, 0, 0, 0, 12, 12, 13, 11], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 8, 8, 8, 4, 4, 4, 4], 'ALdims_old': [96, 93, 92, 95, 84, 84, 83, 85], 'Nk2': 37632, 'analytic_conductor': 183.6823949846636, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [588, 1, [295, 197, 493], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 760, 'dim': 48, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 134218316, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 8, 8], 'label': '588.8.a', 'level': 588, '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': 808, 'mf_new_dim': 48, 'num_forms': 14, 'plus_dim': 25, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 896, 'trace_bound': 5, 'trace_display': [0, 0, -112, 0], 'traces': [48, 0, 0, 0, -112, 0, 0, 0, 34992, 0, 5572, 0, -2128, 0, -3780, 0, 8008, 0, 1400, 0, 0, 0, 86160, 0, 769712, 0, 0, 0, -324068, 0, -284704, 0, -102816, 0, 0, 0, -724462, 0, 128142, 0, -1090488, 0, 1767486, 0, -81648, 0, -137928, 0, 0, 0, 874800, 0, -3335036, 0, -3869544, 0, -577854, 0, -834904, 0, -338464, 0, 0, 0, -2326132, 0, -3364910, 0, -4008312, 0, 3096940, 0, -4378864, 0, 3770928, 0, 0, 0, 9362202, 0, 25509168, 0, -22918112, 0, 16344368, 0, 4539024, 0, 14917560, 0, 0, 0, -5375430, 0, -10453468, 0, -33327616, 0, 4061988, 0, -10671808, 0, 28348544, 0, 0, 0, 61501808, 0, -43252546, 0, -10614240, 0, 113468144, 0, -22080072, 0, -1551312, 0, 0, 0, 155396464, 0, -14780556, 0, -69509328, 0, 20321462, 0, -19554696, 0, 28828016, 0, 0, 0, -2755620, 0, -52574756, 0, -89143936, 0, 15935076, 0, 5866392, 0, -24244752, 0, 0, 0, 175100452, 0, -19489032, 0, 5837832, 0, -46320572, 0, 7073024, 0, 24371928, 0, 0, 0, -56005576, 0, 61025832, 0, 93419816, 0, 126260906, 0, 1020600, 0, -55498912, 0, 0, 0, -18390456, 0, 111580476, 0, 205268000, 0, -272839860, 0, -161630672, 0, -103212984, 0, 0, 0, -251976228, 0, 429844866, 0, 82977048, 0, 342891132, 0, 392674520, 0, -134639064, 0, 0, 0, -611329048, 0, 62810640, 0, 554764112, 0, -510342584, 0, 8402184, 0, 22585360, 0, 0, 0, -28624050, 0, -22888608, 0, 573441512, 0, 561120048, 0, 537650232, 0, -204313648, 0, 0, 0, -1618966592, 0, -627251848, 0, 149553432, 0, -1136701116, 0, -343015792, 0, 0, 0, 0, 0, 391584926, 0, 216427788, 0, 265547016, 0, 1110617504, 0, 169458912, 0, -203690088, 0, 0, 0, -236245572, 0, 114511864, 0, 51391200, 0, -131686992, 0, -447667696, 0, -463952944, 0, 0, 0, 1932069260, 0, 324378830, 0, -207549216, 0, 926799948, 0, 399019208, 0, -245119392, 0, 0, 0, 3282982880, 0, 710890236, 0, 72455376, 0, 1035645392, 0, -74952864, 0, 1719028248, 0, 0, 0, 1326832596, 0, 1581069352, 0, -1751473528, 0, 538031322, 0, -288346744, 0, 253185632, 0, 0, 0, 369977532, 0, -2057585104, 0, -376106976, 0, 2796816288, 0, -1946205856, 0, -532822752, 0, 0, 0, 1492018154, 0, -528132798, 0, -2905782208, 0, 2288409774, 0, 827460144, 0, 1224975696, 0, 0, 0, 1519924176, 0, -3026970480, 0, -286835920, 0, 93415518, 0, -2467998456, 0, 373536072, 0, 0, 0, 2720792216, 0, 3411398410, 0, -1443458016, 0, 5561659612, 0, 2969330168, 0, -794965752, 0, 0, 0, 332882210, 0, -3068221032, 0, -659412768, 0, -1307729278, 0, -412212024, 0, 3983335888, 0, 0, 0, 1288497294, 0, -3158331096, 0, -4098106488, 0, 916220484, 0, 2166400320, 0, -1277288992, 0, 0, 0, -176944500, 0, 6053214038, 0, -59521392, 0, -2865064836, 0, -2154346768, 0, -1933036056, 0, 0, 0, -5950825784, 0, 6457269402, 0, 2066206632, 0, 7483950598, 0, -100549512, 0, 4888190888, 0, 0, 0, -163690740, 0, -5189449084, 0, 1834046144, 0, -2181820752, 0, -5209166032, 0, -3869682712, 0, 0, 0, -10798226328, 0, 8286115600, 0, 864176040, 0, -2565729768, 0, 6320589576, 0, -5723009208, 0, 0, 0, 1677308710, 0, 637729200, 0, 6055965104, 0, -9789492502, 0, 2148512688, 0, 4517133656, 0, 0, 0, 4740332220, 0, -16884899732, 0, 2902503464, 0, -2431241244, 0, -1665608168, 0, -7464806384, 0, 0, 0, -5552500760, 0, 7604734090, 0, -1118945016, 0, 16424960424, 0, -1499680224, 0, -2820897576, 0, 0, 0, 15959025246, 0, 9057809988, 0, 6744717504, 0, -19939300296, 0, 6870546144, 0, 9304548960, 0, 0, 0, -421255566, 0, -13256000668, 0, 6585146736, 0, 520300152, 0, -9062017272, 0, -7474219984, 0, 0, 0, -22863582768, 0, 3130138720, 0, -608645016, 0, -15601755012, 0, 7208337528, 0, -12223649088, 0, 0, 0, -14631024082, 0, 19465758054, 0, 16122419264, 0, -1122314440, 0, -246740256, 0, 22391808208, 0, 0, 0, 5568018732, 0, -7758785928, 0, 6557324368, 0, -5467686624, 0, 6413420776, 0, -16665945408, 0, 0, 0, 2128402656, 0, -17047988578, 0, -2862202392, 0, -20053269504, 0, 421418480, 0, -14822704512, 0, 0, 0, 26905106752, 0, -1695750228, 0, 4052507704, 0, 21767805506, 0, 4829099688, 0, 32882847480, 0, 0, 0, 13741365096, 0, -15397001448, 0, -15357334384, 0, -2453019390, 0, -14373511040, 0, -12690551944, 0, 0, 0, -50046887716, 0, -10673998352, 0, -5662043856, 0, 17142484376, 0, 5187566720, 0, -2922059448, 0, 0, 0, -25392580808, 0, 8167513716, 0, -3211369504, 0, -8010041160, 0, 9750608280, 0, 44158378656, 0, 0, 0, 2257669260, 0, -8184317884, 0, -9775426360, 0, -15977883636, 0, -26744655672, 0, -17678140368, 0, 0, 0, -24242605976, 0, 37873373784, 0, -3192191856, 0, 7372651112, 0, 12174241520, 0, -34512169608, 0, 0, 0, 45613582288, 0, 19938230568, 0, -2452259208, 0, -21634164062, 0, 2749006512, 0, 54274844064, 0, 0, 0, 27021553236, 0, -12524049448, 0, -39585325584, 0, 3820250790, 0, -19038329856, 0, -27824036464, 0, 0, 0, -40608856668, 0, 44133654128, 0, -19254647160, 0, -11263251292, 0, -4770623312, 0, -42799346352, 0, 0, 0, 55273937432, 0, 6825045258, 0, -10647571536, 0, -18287852472, 0, 14518316232, 0, 75030888240, 0, 0, 0, 24936970932, 0, -126536290684, 0, -32686445008, 0, 18596183472, 0, -51523014256, 0, -30903461344, 0, 0, 0, -43905682748, 0, 10452977878, 0, -18705063888, 0, 52327176972, 0, 32496109632, 0, -16707303648, 0, 0, 0, -10552831602, 0, 48942283104, 0, 20075421968, 0, -17892515136, 0, 12334914144, 0, 82462991128, 0, 0, 0, 11915044272, 0, -92573383048, 0, -9382844128, 0, -10647744948, 0, -10979362912, 0, -40498151680, 0, 0, 0, -63189283884, 0, 5716815144, 0, 3308948496, 0, -17076888232, 0, 10255236992, 0, -58651210296, 0, 0, 0, 60630815012, 0, 93073323888, 0, 50329556928, 0, 42667306544, 0, 10874901240, 0, 91631651272, 0, 0, 0, 54532389564, 0, -102027605736, 0, 11565877568, 0, -31270338360, 0, -69001716224, 0, -46884160064, 0, 0, 0, -78479885840, 0, 87149466824, 0, -15341882976, 0, -4673108820, 0, 47711293616, 0, -76599132624, 0, 0, 0, 50904545560, 0, -3918688470, 0, 49349425048, 0, -28660310864, 0, 23300671464, 0, 156870035056, 0, 0, 0, 69102098298, 0, -47440761600, 0, 46208856176, 0, -7620578172, 0, 31009150872, 0, -108807355384, 0, 0, 0, -80001582756, 0, 109337168640, 0, -3312389808, 0, -3857707436, 0, -18095983808, 0, -24295832064, 0, 0, 0, -30055942080, 0, 82597296024, 0, 78303357720, 0, -67825023966, 0, 57216030480, 0, 136149986952, 0, 0, 0, 2961189252, 0, -213416752060, 0, 37534867272, 0, -22774074048, 0, -79440470592, 0, -93046299024, 0, 0, 0, -128272690772, 0, 157183991522, 0, -7779748032, 0, 118470645344, 0, 68718255648, 0, -139877090136, 0, 0, 0, -38403062710, 0, 39428708958, 0, 96296833416, 0, -76592732258, 0, 20666088576, 0, 144814750920, 0, 0, 0, 56077722900, 0, -188990127120, 0, -31193333248, 0, -75089176038, 0, -49813856512, 0, -66694434744, 0, 0, 0, -20167843724, 0, -78139436470, 0, -26024161464, 0, 31183019604, 0, 17435386920, 0, -121818812976, 0, 0, 0, -20318866750, 0, 44834818032, 0, 34318827088, 0, 89743783906, 0, 58277959488, 0, 95201128512, 0, 0, 0, 44429060898, 0, -78934143008, 0, 7800043272, 0, -31531106034, 0, -107072394912, 0, -76899033120, 0, 0, 0, -210081727344, 0, 115721006934, 0, -37305873864, 0, 48453075856, 0, 55166810384, 0, -7737780960, 0], '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: 46900529
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396780552780, 'source_is_minimal': False, 'source_label': '588.8.a.j.1.4', 'source_level': 588, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396780552780, 'target_is_minimal': False, 'target_label': '588.8.a.j.1.4', 'target_level': 588, 'twist_class_label': '84.8.i.a.25.4', 'twist_class_level': 84, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
id: 46900530
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396780552780, 'source_is_minimal': False, 'source_label': '588.8.a.j.1.4', 'source_level': 588, 'target_conrey_index': 361, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050944673219148, 'target_is_minimal': False, 'target_label': '588.8.i.o.361.1', 'target_level': 588, 'twist_class_label': '84.8.i.a.25.4', 'twist_class_level': 84, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 8}
id: 46900531
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396780552780, 'source_is_minimal': False, 'source_label': '588.8.a.j.1.4', 'source_level': 588, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 549890031700, 'target_is_minimal': True, 'target_label': '84.8.i.a.37.4', 'target_level': 84, 'twist_class_label': '84.8.i.a.25.4', 'twist_class_level': 84, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 8}
id: 46900532
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396780552780, 'source_is_minimal': False, 'source_label': '588.8.a.j.1.4', 'source_level': 588, 'target_conrey_index': 373, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050944673219148, 'target_is_minimal': False, 'target_label': '588.8.i.o.373.1', 'target_level': 588, 'twist_class_label': '84.8.i.a.25.4', 'twist_class_level': 84, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 8}
id: 46900533
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396780552780, 'source_is_minimal': False, 'source_label': '588.8.a.j.1.4', 'source_level': 588, 'target_conrey_index': 25, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 549890031700, 'target_is_minimal': True, 'target_label': '84.8.i.a.25.4', 'target_level': 84, 'twist_class_label': '84.8.i.a.25.4', 'twist_class_level': 84, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 8}
id: 46900534
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396780552780, 'source_is_minimal': False, 'source_label': '588.8.a.j.1.4', 'source_level': 588, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797153182284, 'target_is_minimal': False, 'target_label': '588.8.a.i.1.1', 'target_level': 588, 'twist_class_label': '84.8.i.a.25.4', 'twist_class_level': 84, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 8}
id: 46900535
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396780552780, 'source_is_minimal': False, 'source_label': '588.8.a.j.1.4', 'source_level': 588, 'target_conrey_index': 109, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286956355836, 'target_is_minimal': False, 'target_label': '252.8.k.b.109.1', 'target_level': 252, 'twist_class_label': '84.8.i.a.25.4', 'twist_class_level': 84, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 8}
id: 46900536
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532396780552780, 'source_is_minimal': False, 'source_label': '588.8.a.j.1.4', 'source_level': 588, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286956355836, 'target_is_minimal': False, 'target_label': '252.8.k.b.37.1', 'target_level': 252, 'twist_class_label': '84.8.i.a.25.4', 'twist_class_level': 84, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 8}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 1091575
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40532396780552780, 'p': 2}
id: 1091576
{'charpoly_factorization': [[[-27, 1], 4]], 'hecke_orbit_code': 40532396780552780, 'p': 3}
id: 1091577
{'charpoly_factorization': [[[371328300, 4896540, -102093, 196, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 5}
id: 1091578
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40532396780552780, 'p': 7}
id: 1091579
{'charpoly_factorization': [[[193939400174724, -4803997428, -29150691, 406, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 11}
id: 1091580
{'charpoly_factorization': [[[31670239466400, 40450209860, -42054951, 1974, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 13}
id: 1091581
{'charpoly_factorization': [[[16554173223748608, -1070232838272, -281529696, 7436, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 17}
id: 1091582
{'charpoly_factorization': [[[-311957802514628384, 43603417569596, -1497886167, -15874, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 19}
id: 1091583
{'charpoly_factorization': [[[20801001617352751104, 31040961307776, -9111514368, -6788, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 23}
id: 1091584
{'charpoly_factorization': [[[-28021415703471511632, 1692509325770232, -29964579441, 94544, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 29}
id: 1091585
{'charpoly_factorization': [[[285113815597932443871, 3089946643483310, -66467477472, 55890, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 31}
id: 1091586
{'charpoly_factorization': [[[26494137560419860510400, -29675950406820140, -357438510831, 93742, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 37}
id: 1091587
{'charpoly_factorization': [[[74985919704756078794496, -26760485044230912, -599812673148, 6972, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 41}
id: 1091588
{'charpoly_factorization': [[[334245198419047179604, -26090779325276876, -418520074683, 243922, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 43}
id: 1091589
{'charpoly_factorization': [[[9825274800494713727856, -33811953754486608, -558868597920, 650484, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 47}
id: 1091590
{'charpoly_factorization': [[[411585234070525559930736, 339751187170696800, -2105734135905, 368880, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 53}
id: 1091591
{'charpoly_factorization': [[[-521480220680651239999152, -2425988347548377904, -3025206528903, -96026, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 59}
id: 1091592
{'charpoly_factorization': [[[237926255974868221195824, -1741976623324767280, 1841762040624, 3618156, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 61}
id: 1091593
{'charpoly_factorization': [[[45333614852406043558268, 1865854402088559832, -2599492301931, -316006, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 67}
id: 1091594
{'charpoly_factorization': [[[2826114668858276309808, -572904057952580688, 9796265103024, -6218156, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 71}
id: 1091595
{'charpoly_factorization': [[[2980489880915687904520724, -22361027172120988, -6199383847851, 1287286, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 73}
id: 1091596
{'charpoly_factorization': [[[-5315652589967997249330657, -16069797264187555346, -5209819971744, 8187282, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 79}
id: 1091597
{'charpoly_factorization': [[[95459490857951335758131892, -97550277452458654356, -41676808752003, 3693650, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 83}
id: 1091598
{'charpoly_factorization': [[[-6239170422032784907330017792, -2012058811752532119360, -97816950974484, 14489928, 1], 1]], 'hecke_orbit_code': 40532396780552780, 'p': 89}
id: 1091599
{'charpoly_factorization': [[[-453446649473090000998019356, -514355566332456817060, -29493700535787, 11861290, 1], 1]], 'hecke_orbit_code': 40532396780552780, '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': 1, 'hecke_orbit': 10, 'label': '588.8.a.j', 'level': 588, '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: 53717899
{'hecke_orbit_code': 40532396780552780, 'n': 1, 'trace_an': 4}
id: 53717900
{'hecke_orbit_code': 40532396780552780, 'n': 2, 'trace_an': 0}
id: 53717901
{'hecke_orbit_code': 40532396780552780, 'n': 3, 'trace_an': 108}
id: 53717902
{'hecke_orbit_code': 40532396780552780, 'n': 4, 'trace_an': 0}
id: 53717903
{'hecke_orbit_code': 40532396780552780, 'n': 5, 'trace_an': -196}
id: 53717904
{'hecke_orbit_code': 40532396780552780, 'n': 6, 'trace_an': 0}
id: 53717905
{'hecke_orbit_code': 40532396780552780, 'n': 7, 'trace_an': 0}
id: 53717906
{'hecke_orbit_code': 40532396780552780, 'n': 8, 'trace_an': 0}
id: 53717907
{'hecke_orbit_code': 40532396780552780, 'n': 9, 'trace_an': 2916}
id: 53717908
{'hecke_orbit_code': 40532396780552780, 'n': 10, 'trace_an': 0}
id: 53717909
{'hecke_orbit_code': 40532396780552780, 'n': 11, 'trace_an': -406}
id: 53717910
{'hecke_orbit_code': 40532396780552780, 'n': 12, 'trace_an': 0}
id: 53717911
{'hecke_orbit_code': 40532396780552780, 'n': 13, 'trace_an': -1974}
id: 53717912
{'hecke_orbit_code': 40532396780552780, 'n': 14, 'trace_an': 0}
id: 53717913
{'hecke_orbit_code': 40532396780552780, 'n': 15, 'trace_an': -5292}
id: 53717914
{'hecke_orbit_code': 40532396780552780, 'n': 16, 'trace_an': 0}
id: 53717915
{'hecke_orbit_code': 40532396780552780, 'n': 17, 'trace_an': -7436}
id: 53717916
{'hecke_orbit_code': 40532396780552780, 'n': 18, 'trace_an': 0}
id: 53717917
{'hecke_orbit_code': 40532396780552780, 'n': 19, 'trace_an': 15874}
id: 53717918
{'hecke_orbit_code': 40532396780552780, 'n': 20, 'trace_an': 0}
id: 53717919
{'hecke_orbit_code': 40532396780552780, 'n': 21, 'trace_an': 0}
id: 53717920
{'hecke_orbit_code': 40532396780552780, 'n': 22, 'trace_an': 0}
id: 53717921
{'hecke_orbit_code': 40532396780552780, 'n': 23, 'trace_an': 6788}
id: 53717922
{'hecke_orbit_code': 40532396780552780, 'n': 24, 'trace_an': 0}
id: 53717923
{'hecke_orbit_code': 40532396780552780, 'n': 25, 'trace_an': -69898}
id: 53717924
{'hecke_orbit_code': 40532396780552780, 'n': 26, 'trace_an': 0}
id: 53717925
{'hecke_orbit_code': 40532396780552780, 'n': 27, 'trace_an': 78732}
id: 53717926
{'hecke_orbit_code': 40532396780552780, 'n': 28, 'trace_an': 0}
id: 53717927
{'hecke_orbit_code': 40532396780552780, 'n': 29, 'trace_an': -94544}
id: 53717928
{'hecke_orbit_code': 40532396780552780, 'n': 30, 'trace_an': 0}
id: 53717929
{'hecke_orbit_code': 40532396780552780, 'n': 31, 'trace_an': -55890}
id: 53717930
{'hecke_orbit_code': 40532396780552780, 'n': 32, 'trace_an': 0}
id: 53717931
{'hecke_orbit_code': 40532396780552780, 'n': 33, 'trace_an': -10962}
id: 53717932
{'hecke_orbit_code': 40532396780552780, 'n': 34, 'trace_an': 0}
id: 53717933
{'hecke_orbit_code': 40532396780552780, 'n': 35, 'trace_an': 0}
id: 53717934
{'hecke_orbit_code': 40532396780552780, 'n': 36, 'trace_an': 0}
id: 53717935
{'hecke_orbit_code': 40532396780552780, 'n': 37, 'trace_an': -93742}
id: 53717936
{'hecke_orbit_code': 40532396780552780, 'n': 38, 'trace_an': 0}
id: 53717937
{'hecke_orbit_code': 40532396780552780, 'n': 39, 'trace_an': -53298}
id: 53717938
{'hecke_orbit_code': 40532396780552780, 'n': 40, 'trace_an': 0}
id: 53717939
{'hecke_orbit_code': 40532396780552780, 'n': 41, 'trace_an': -6972}
id: 53717940
{'hecke_orbit_code': 40532396780552780, 'n': 42, 'trace_an': 0}
id: 53717941
{'hecke_orbit_code': 40532396780552780, 'n': 43, 'trace_an': -243922}
id: 53717942
{'hecke_orbit_code': 40532396780552780, 'n': 44, 'trace_an': 0}
id: 53717943
{'hecke_orbit_code': 40532396780552780, 'n': 45, 'trace_an': -142884}
id: 53717944
{'hecke_orbit_code': 40532396780552780, 'n': 46, 'trace_an': 0}
id: 53717945
{'hecke_orbit_code': 40532396780552780, 'n': 47, 'trace_an': -650484}
id: 53717946
{'hecke_orbit_code': 40532396780552780, 'n': 48, 'trace_an': 0}
id: 53717947
{'hecke_orbit_code': 40532396780552780, 'n': 49, 'trace_an': 0}
id: 53717948
{'hecke_orbit_code': 40532396780552780, 'n': 50, 'trace_an': 0}
id: 53717949
{'hecke_orbit_code': 40532396780552780, 'n': 51, 'trace_an': -200772}
id: 53717950
{'hecke_orbit_code': 40532396780552780, 'n': 52, 'trace_an': 0}
id: 53717951
{'hecke_orbit_code': 40532396780552780, 'n': 53, 'trace_an': -368880}
id: 53717952
{'hecke_orbit_code': 40532396780552780, 'n': 54, 'trace_an': 0}
id: 53717953
{'hecke_orbit_code': 40532396780552780, 'n': 55, 'trace_an': 1195768}
id: 53717954
{'hecke_orbit_code': 40532396780552780, 'n': 56, 'trace_an': 0}
id: 53717955
{'hecke_orbit_code': 40532396780552780, 'n': 57, 'trace_an': 428598}
id: 53717956
{'hecke_orbit_code': 40532396780552780, 'n': 58, 'trace_an': 0}
id: 53717957
{'hecke_orbit_code': 40532396780552780, 'n': 59, 'trace_an': 96026}
id: 53717958
{'hecke_orbit_code': 40532396780552780, 'n': 60, 'trace_an': 0}
id: 53717959
{'hecke_orbit_code': 40532396780552780, 'n': 61, 'trace_an': -3618156}
id: 53717960
{'hecke_orbit_code': 40532396780552780, 'n': 62, 'trace_an': 0}
id: 53717961
{'hecke_orbit_code': 40532396780552780, 'n': 63, 'trace_an': 0}
id: 53717962
{'hecke_orbit_code': 40532396780552780, 'n': 64, 'trace_an': 0}
id: 53717963
{'hecke_orbit_code': 40532396780552780, 'n': 65, 'trace_an': -974160}
id: 53717964
{'hecke_orbit_code': 40532396780552780, 'n': 66, 'trace_an': 0}
id: 53717965
{'hecke_orbit_code': 40532396780552780, 'n': 67, 'trace_an': 316006}
id: 53717966
{'hecke_orbit_code': 40532396780552780, 'n': 68, 'trace_an': 0}
id: 53717967
{'hecke_orbit_code': 40532396780552780, 'n': 69, 'trace_an': 183276}
id: 53717968
{'hecke_orbit_code': 40532396780552780, 'n': 70, 'trace_an': 0}
id: 53717969
{'hecke_orbit_code': 40532396780552780, 'n': 71, 'trace_an': 6218156}
id: 53717970
{'hecke_orbit_code': 40532396780552780, 'n': 72, 'trace_an': 0}
id: 53717971
{'hecke_orbit_code': 40532396780552780, 'n': 73, 'trace_an': -1287286}
id: 53717972
{'hecke_orbit_code': 40532396780552780, 'n': 74, 'trace_an': 0}
id: 53717973
{'hecke_orbit_code': 40532396780552780, 'n': 75, 'trace_an': -1887246}
id: 53717974
{'hecke_orbit_code': 40532396780552780, 'n': 76, 'trace_an': 0}
id: 53717975
{'hecke_orbit_code': 40532396780552780, 'n': 77, 'trace_an': 0}
id: 53717976
{'hecke_orbit_code': 40532396780552780, 'n': 78, 'trace_an': 0}
id: 53717977
{'hecke_orbit_code': 40532396780552780, 'n': 79, 'trace_an': -8187282}
id: 53717978
{'hecke_orbit_code': 40532396780552780, 'n': 80, 'trace_an': 0}
id: 53717979
{'hecke_orbit_code': 40532396780552780, 'n': 81, 'trace_an': 2125764}
id: 53717980
{'hecke_orbit_code': 40532396780552780, 'n': 82, 'trace_an': 0}
id: 53717981
{'hecke_orbit_code': 40532396780552780, 'n': 83, 'trace_an': -3693650}
id: 53717982
{'hecke_orbit_code': 40532396780552780, 'n': 84, 'trace_an': 0}
id: 53717983
{'hecke_orbit_code': 40532396780552780, 'n': 85, 'trace_an': 10966964}
id: 53717984
{'hecke_orbit_code': 40532396780552780, 'n': 86, 'trace_an': 0}
id: 53717985
{'hecke_orbit_code': 40532396780552780, 'n': 87, 'trace_an': -2552688}
id: 53717986
{'hecke_orbit_code': 40532396780552780, 'n': 88, 'trace_an': 0}
id: 53717987
{'hecke_orbit_code': 40532396780552780, 'n': 89, 'trace_an': -14489928}
id: 53717988
{'hecke_orbit_code': 40532396780552780, 'n': 90, 'trace_an': 0}
id: 53717989
{'hecke_orbit_code': 40532396780552780, 'n': 91, 'trace_an': 0}
id: 53717990
{'hecke_orbit_code': 40532396780552780, 'n': 92, 'trace_an': 0}
id: 53717991
{'hecke_orbit_code': 40532396780552780, 'n': 93, 'trace_an': -1509030}
id: 53717992
{'hecke_orbit_code': 40532396780552780, 'n': 94, 'trace_an': 0}
id: 53717993
{'hecke_orbit_code': 40532396780552780, 'n': 95, 'trace_an': -18406792}
id: 53717994
{'hecke_orbit_code': 40532396780552780, 'n': 96, 'trace_an': 0}
id: 53717995
{'hecke_orbit_code': 40532396780552780, 'n': 97, 'trace_an': -11861290}
id: 53717996
{'hecke_orbit_code': 40532396780552780, 'n': 98, 'trace_an': 0}
id: 53717997
{'hecke_orbit_code': 40532396780552780, 'n': 99, 'trace_an': -295974}
id: 53717998
{'hecke_orbit_code': 40532396780552780, 'n': 100, 'trace_an': 0}

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.