LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-09-07T02:58:22.383205

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': 17820, 'analytic_conductor': 79.38999080742542, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [11, -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': [495, 1, [56, 397, 46], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 18497464, 'field_disc_factorization': [[2, 3], [523, 1], [4421, 1]], 'field_poly': [116, -8, -33, -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': [[2, [1224, 300, -82, -5, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597864886767, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 6, 'hecke_ring_index_factorization': [[2, 1], [3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '495.6.a.g', 'level': 495, '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': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '55.6.a.b', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{1})q^{2}+(15+\\beta _{1}-\\beta _{2}+\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '5.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '495.6.a', 'trace_display': [5, 0, 100, -90], 'trace_hash': 193543818730224947, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.752', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.652', 'prec': 10}, {'__RealLiteral__': 0, 'data': '37.256', 'prec': 17}, {'__RealLiteral__': 0, 'data': '18.328', 'prec': 17}, {'__RealLiteral__': 0, 'data': '556.891', 'prec': 20}], 'trace_zratio': 0, 'traces': [4, 5, 0, 61, 100, 0, -90, 135, 0, 125, 484, 0, 820, 1687, 0, -2671, 3800, 0, -3394, 1525, 0, 605, 3020, 0, 2500, 3650, 0, 2635, 5248, 0, 4732, -11505, 0, 9759, -2250, 0, 10210, -16945, 0, 3375, 21068, 0, -12140, 7381, 0, 58442, -4720, 0, 24550, 3125, 0, 58250, 21670, 0, 12100, 28985, 0, -45435, 69068, 0, -44000, -33375, 0, -68223, 20500, 0, -8720, 107335, 0, 42175, 47516, 0, -2480, 55717, 0, -102461, -10890, 0, -188192, -66775, 0, 279030, -68620, 0, 95000, -115328, 0, 16335, 170266, 0, 97740, -53950, 0, -152926, -84850, 0, 186160, 393590, 0, 38125, 334076, 0, 60140, -11410, 0, 123959, -249960, 0, -197780, 15125, 0, 200095, 145180, 0, 75500, 186701, 0, 588650, -362516, 0, 58564, 349745, 0, 37681, 62500, 0, 402340, 192335, 0, 91250, 167938, 0, -214330, 817208, 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], [-0.46703039453970213, 0.0], [0.0, 0.0], [-0.7818826105760902, 0.0], [0.4472135954999579, 0.0], [0.0, 0.0], [-0.09935195128338688, 0.0], [0.8321933386407858, 0.0], [0.0, 0.0], [-0.2088623419498641, 0.0], [0.30151134457776363, 0.0], [0.0, 0.0], [-0.7962191296971478, 0.0], [0.046400381006169444, 0.0], [0.0, 0.0], [0.393223027297372, 0.0], [-0.223788287858199, 0.0], [0.0, 0.0], [-0.09513555727073206, 0.0], [-0.34966853353462674, 0.0], [0.0, 0.0], [-0.14081496221634904, 0.0], [1.266501988268378, 0.0], [0.0, 0.0], [0.2, 0.0], [0.3718585342825172, 0.0], [0.0, 0.0], [0.07768156303528306, 0.0], [-0.6511056999231295, 0.0], [0.0, 0.0], [0.4010505176207716, 0.0], [-1.0158404442215736, 0.0], [0.0, 0.0], [0.1045159323717791, 0.0], [-0.04443154335338011, 0.0], [0.0, 0.0], [-0.09707312181319448, 0.0], [0.04443119684690442, 0.0], [0.0, 0.0], [0.3721681751246599, 0.0], [-0.9388285506637539, 0.0], [0.0, 0.0], [0.2278942606820644, 0.0], [-0.2357464772167689, 0.0], [0.0, 0.0], [-0.5914949232662977, 0.0], [-0.6585624793787038, 0.0], [0.0, 0.0], [-0.9901291897761835, 0.0], [-0.09340607890794042, 0.0], [0.0, 0.0], [0.6225498917182284, 0.0], [-0.34850755776110615, 0.0], [0.0, 0.0], [0.13483997249264842, 0.0], [-0.08268003203899843, 0.0], [0.0, 0.0], [0.3040861519221481, 0.0], [1.2468059485024547, 0.0], [0.0, 0.0], [-0.4084761486237725, 0.0], [-0.18730278147478072, 0.0], [0.0, 0.0], [0.08120533615681574, 0.0], [-0.3560800197977088, 0.0], [0.0, 0.0], [0.12248451873164579, 0.0], [0.17497617072692215, 0.0], [0.0, 0.0], [0.02075088122233699, 0.0], [1.0824365263791405, 0.0], [0.0, 0.0], [-1.362567543463598, 0.0], [0.04533609837961678, 0.0], [0.0, 0.0], [0.07438483787745111, 0.0], [-0.02995574041787845, 0.0], [0.0, 0.0], [-1.0363310743537915, 0.0], [0.17585468387103584, 0.0], [0.0, 0.0], [0.43846146842162975, 0.0], [1.4421473280514776, 0.0], [0.0, 0.0], [-0.10008116484384474, 0.0], [-0.10643354647967826, 0.0], [0.0, 0.0], [0.2509157324822415, 0.0], [1.7110470343407578, 0.0], [0.0, 0.0], [0.07910592418457173, 0.0], [-0.990255880887088, 0.0], [0.0, 0.0], [0.3075686945732805, 0.0], [-0.04254591462693625, 0.0], [0.0, 0.0], [1.42809149781911, 0.0], [0.4624204261464466, 0.0], [0.0, 0.0], [-0.15637652211521802, 0.0]], 'angles': [-0.2875114302474981, None, None, -0.2579094323747138, None, -0.3151668092380263, -0.26784587835978757, -0.25757350502172477, -0.14086004347898437, -0.3027752016471758, -0.21786756552462624, -0.25772786983307583, -0.32776745165616195, -0.23182527534684377, -0.3034032096732371, -0.2778756544025053, -0.1428748172938775, -0.28273583412963244, -0.24024688851120682, -0.15898163926183223, -0.36928900868461234, -0.33669244336458914, -0.12182445718261829, -0.08661772524691806, -0.12343041857252775, -0.21323667521431072, -0.17771220368155247, -0.345375646064093, -0.23809626548564378, -0.24902383827193628, -0.29836221626620035, -0.09096375448234124, -0.2621460343095756, -0.16325175310934706, -0.14188482270416727, -0.08690529795393301, -0.31417110304963347, -0.09578303921549157, -0.1658381152326232, -0.30857452236654276, -0.3398113338426926, -0.20954370642733885, -0.31884495576405436, -0.15113094921557427, -0.08001127939261511, -0.2265742323739005, -0.2819631814057996, -0.052312819136153786, -0.24847581226966528, -0.10328153400477039, -0.12597201561139199, -0.2757957487354913, -0.4054203821425588, -0.17116301492925662, -0.2263003497249029, -0.2626373794008205, -0.21319384897824425, -0.3037952961663479, -0.256884462748798, -0.1334527486451248, -0.26339540228725217, -0.23309909327805287, -0.18599670034852325, -0.28609519859404603, -0.21450893764599047, -0.3337512936860651, -0.3110672103150569, -0.30054113789260695, -0.34698149432786923, -0.42280362481700773, -0.29494491417226587, -0.3324424756804083, -0.23791467036690742, -0.17091242781584237, -0.4026462546802989, -0.21853889238837282, -0.24121648450221414, -0.31632784054450397, -0.111701523283922, -0.255851744525937, -0.3566405486871316, -0.17653373064245848, -0.23896308157293814, -0.15644571344326472, -0.13127943118496022, -0.22166936945724422, -0.17416023298504618, -0.024339509647806554, -0.3365972369089549, -0.13642662588496907, -0.21059768870626835, -0.2911276826345829, -0.2918425235082254, -0.18451480226242498, -0.25909320081573967, -0.15096815485810539, -0.32524010863648456, -0.2866669784012706, -0.21281842562164596, -0.33450518213591807], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.746656982020712, 'hecke_orbit': 7, 'hecke_orbit_code': 27021597864886767, 'label': '495.6.a.g.1.2', 'level': 495, 'weight': 6}

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': [6, 10, 10, 6, 13, 11, 12, 14], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [34, 38, 34, 38, 33, 31, 30, 32], 'Nk2': 17820, 'analytic_conductor': 79.38999080742542, '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': [495, 1, [56, 397, 46], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 352, 'dim': 82, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 100663791, 'hecke_orbit_dims': [3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 6, 6, 6, 7, 10, 10], 'label': '495.6.a', 'level': 495, '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': [3, 5, 11], 'level_radical': 165, 'mf_dim': 368, 'mf_new_dim': 82, 'num_forms': 16, 'plus_dim': 35, 'prim_orbit_index': 1, 'relative_dim': 82, 'sturm_bound': 432, 'trace_bound': 4, 'trace_display': [0, 0, 50, -44], 'traces': [82, 0, 0, 1268, 50, 0, -44, -852, 0, -100, 0, 0, 1748, -2720, 0, 20160, -956, 0, 2728, 4300, 0, -968, 7556, 0, 51250, 3292, 0, -1028, -10876, 0, 3480, -16064, 0, 13672, 3100, 0, 6020, 61120, 0, 3000, 25852, 0, 47628, -2420, 0, 93512, 9372, 0, 194210, 0, 0, 8972, 95708, 0, -12100, -211872, 0, -140352, -91808, 0, 137852, 60392, 0, 374844, 100, 0, -9564, 231228, 0, 20500, -79232, 0, -93772, 68752, 0, 384528, 76956, 0, 92256, 134000, 0, 392144, -178292, 0, -134300, 522620, 0, -46464, -373284, 0, 90656, -220912, 0, 668768, 19800, 0, -420796, 481168, 0, 792500, 75860, 0, 394380, 577876, 0, -564256, -342940, 0, -592532, 72600, 0, 361988, 333548, 0, 231100, -324776, 0, 90384, 782560, 0, 1200562, 1217096, 0, -110876, 31250, 0, -515596, -1496540, 0, 224900, 936576, 0, 2242720, 426560, 0, 2179016, -197892, 0, 221112, -675500, 0, 109264, 220704, 0, 211700, 1866892, 0, 2683072, -377468, 0, 632536, 813120, 0, 345092, 395800, 0, -688924, -2834464, 0, 560900, -212256, 0, 336748, 5592632, 0, -433996, 2286500, 0, 4838326, -1344500, 0, 5703052, -3214220, 0, -27500, 214896, 0, 4087672, 1324392, 0, -545964, -831048, 0, 2385136, -328500, 0, -425920, 1665680, 0, 13700, -1510648, 0, 1832548, 928880, 0, 3131200, 4168676, 0, 370456, -532500, 0, 2431104, -330952, 0, 925100, -1587168, 0, -7469172, 376552, 0, -1961840, 4144208, 0, 878468, 759700, 0, 670384, -607768, 0, -387200, 1938544, 0, -3533220, -8355096, 0, -1404568, -4786796, 0, 4325180, 115200, 0, -4034872, -5419612, 0, 753300, -4950104, 0, 3788512, -5579840, 0, -3803676, 0, 0, -3359688, 3129850, 0, -5737216, 10937928, 0, -62500, -1271688, 0, -1914220, 4434436, 0, -1187712, -3364948, 0, 1741464, -4989300, 0, -4441496, 5212764, 0, -1444700, -8688480, 0, -5568496, -7321644, 0, 9180456, -5402652, 0, -9317304, 0, 0, 2654708, 19664648, 0, 3656700, -3953940, 0, 163820, 7149340, 0, -2363372, 4040520, 0, -2858090, 690900, 0, -3681388, -12359884, 0, -1784400, 5911000, 0, -11893544, -8373112, 0, 10121656, -4719944, 0, 11380272, 1660300, 0, 10522724, 9657252, 0, -1256600, 7938448, 0, -9552780, 989352, 0, -3201328, 9598060, 0, -468512, 888100, 0, -10644344, 8320176, 0, 1092500, -17384624, 0, -3625944, 4450944, 0, 961760, -18142924, 0, -13886048, 4037900, 0, 260708, 4765584, 0, -6937500, 2256408, 0, 4229288, 32689620, 0, -8790596, 5456020, 0, 8506860, -1700000, 0, -2380796, 5855740, 0, -5192800, -23520372, 0, -39822080, -14722672, 0, -9979982, 17574144, 0, 17593368, -1205900, 0, -1053756, -15317264, 0, 8215200, -5772408, 0, 5628772, 4602356, 0, 20142536, 16470600, 0, -8939568, 1757200, 0, -18496464, -2498444, 0, -592900, -2955376, 0, -28879000, -10287452, 0, 16412984, -10480788, 0, -12871324, 1539200, 0, 5429844, -54845824, 0, 12600000, -3668228, 0, 26690208, -6016, 0, -51711984, 5040376, 0, 14650436, -1778000, 0, 610056, -8774464, 0, 10194500, 38368692, 0, 1848880, 22099304, 0, -11598172, -35985440, 0, -48922040, -597500, 0, 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-12818496, 39050900, 0, 13240464, -7608700, 0, 28452536, 18786012, 0, -16796500, 6571388, 0, -62757712, -8036100, 0, 36224960, -780692, 0, 42351816, 4722500, 0, 62709380, 98187728, 0, -13994600, 33423000, 0, -6765352, -36573644, 0, 31398348, -18194244, 0, 102956352, 17682400, 0, 74388808, -21384268, 0, -63200, 30230272, 0, 75291120, -21868608, 0, 11349524, 15526032, 0, -47687328, 732050, 0, -46354300, -35737264, 0, 7152900, -54238264, 0, -10923756, -25364332, 0, 28141212, 33388156, 0, 47477048, 52848600, 0, 43818912, 103929496, 0, 32031250, 18899248, 0, 49407384, 63591768, 0, 59235600, 18776784, 0, -2721720, -6605700, 0, 53344324, -16465680, 0, 14152600, 9628316, 0, -609524, 54638680, 0, -53645256, -5720004, 0, -8761368, 2057500, 0, -92099872, 48332524, 0, 4983600, 74132432, 0, -79659976, -64424184, 0, 35174364, 71543384, 0, 9208236, 8045800, 0, 144976904, 173955820, 0, -75966000, -15211152, 0, 139777300, -33187128, 0, 3860036, -61011164, 0, 71936760, -27525100, 0, 6413000, 64709188, 0, 55817100, -9505228, 0, 81589204, 102529352, 0, 63323672, -91045236, 0, 3017396, 2530200, 0, -4879320, -9242224, 0, -642500, 50220564, 0, 56947344, -44782100, 0, -143366696, -130822424, 0, 30298052, 38880000, 0, 161200912, -33683920, 0, -4089800, -114025584, 0, 74957384, 32482464, 0, 6804768, 10093232, 0, -39141768, -6797500, 0, -34925516, -111644312, 0, -27543100, -84586992, 0, -56658108, 126699680, 0, 63220944, 6132764, 0, -35774696, -34609500, 0, -178265720, -48996116, 0, -34060300, -9054820, 0, 10179972, 121235960, 0, 29619808, 151817568, 0, -210431776, -6153000, 0, 45210612, -124666544, 0, -53052900, 76671164, 0, -104524968, -122284744, 0, 44064984, 13943232, 0, 80245092, -1536700, 0, 39071700, -36143716, 0, 2175000, 76183304, 0, 14672448, -60497968, 0, 7395520, -126278952, 0, 88081468, 10086300, 0, 67616932, 94817356, 0, -37513200, -137454904, 0, 101621112, -123705896, 0, 35787356, 90747996, 0, -102918296, -10040000, 0, 117384456, 450120, 0, -35092800, -126514088, 0, 39153848, 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-182968796, 0, -17972840, 18319400, 0, -146041372, -171330752, 0, -20422000, 93729428, 0, -187349896, -343360040, 0, -41655460, 94616924, 0, -127421392, 38200000, 0, -118675648, 221751572, 0, -34648200, -144026136, 0, -111781440, -174266088, 0, 95235130, 259363952, 0, -153231464, -85811500, 0, 71783924, -12474132, 0, 13225600, -189208016, 0, -62616976, 406777264, 0, -341554224, -86285108, 0, 27261784, -31149100, 0, 49929856, 41283172, 0, 47235300, -281586104, 0, -33107256, -182642464, 0, -384367496, 371100376, 0, -57913468, 73767400, 0, -148449148, 205963344, 0, 1875000], 'weight': 6, '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: 45682835
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597864886767, 'source_is_minimal': False, 'source_label': '495.6.a.g.1.2', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597864886767, 'target_is_minimal': False, 'target_label': '495.6.a.g.1.2', 'target_level': 495, 'twist_class_label': '55.6.a.b.1.3', 'twist_class_level': 55, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
id: 45682836
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597864886767, 'source_is_minimal': False, 'source_label': '495.6.a.g.1.2', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503599728033847, 'target_is_minimal': True, 'target_label': '55.6.a.b.1.3', 'target_level': 55, 'twist_class_label': '55.6.a.b.1.3', 'twist_class_level': 55, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 6}
id: 45682837
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597864886767, 'source_is_minimal': False, 'source_label': '495.6.a.g.1.2', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795256480624, 'target_is_minimal': False, 'target_label': '880.6.a.n.1.2', 'target_level': 880, 'twist_class_label': '55.6.a.b.1.3', 'twist_class_level': 55, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 6}
id: 45682838
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597864886767, 'source_is_minimal': False, 'source_label': '495.6.a.g.1.2', 'source_level': 495, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510867702251795, 'target_is_minimal': False, 'target_label': '275.6.b.d.199.5', 'target_level': 275, 'twist_class_label': '55.6.a.b.1.3', 'twist_class_level': 55, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 6}
id: 45682839
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597864886767, 'source_is_minimal': False, 'source_label': '495.6.a.g.1.2', 'source_level': 495, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510867702251795, 'target_is_minimal': False, 'target_label': '275.6.b.d.199.4', 'target_level': 275, 'twist_class_label': '55.6.a.b.1.3', 'twist_class_level': 55, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 6}
id: 45682840
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597864886767, 'source_is_minimal': False, 'source_label': '495.6.a.g.1.2', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798982775059, 'target_is_minimal': False, 'target_label': '275.6.a.d.1.2', 'target_level': 275, 'twist_class_label': '55.6.a.b.1.3', 'twist_class_level': 55, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 6}
id: 45682841
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597864886767, 'source_is_minimal': False, 'source_label': '495.6.a.g.1.2', 'source_level': 495, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199355404893, 'target_is_minimal': False, 'target_label': '605.6.a.c.1.2', 'target_level': 605, 'twist_class_label': '55.6.a.b.1.3', 'twist_class_level': 55, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 6}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 967075
{'charpoly_factorization': [[[1224, 300, -82, -5, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 2}
id: 967076
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021597864886767, 'p': 3}
id: 967077
{'charpoly_factorization': [[[-25, 1], 4]], 'hecke_orbit_code': 27021597864886767, 'p': 5}
id: 967078
{'charpoly_factorization': [[[-59409676, -5164180, -41839, 90, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 7}
id: 967079
{'charpoly_factorization': [[[-121, 1], 4]], 'hecke_orbit_code': 27021597864886767, 'p': 11}
id: 967080
{'charpoly_factorization': [[[-4887860000, 198704000, -202900, -820, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 13}
id: 967081
{'charpoly_factorization': [[[-500025407256, -524723400, 3979727, -3800, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 17}
id: 967082
{'charpoly_factorization': [[[123062234816, 1267251024, 3459601, 3394, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 19}
id: 967083
{'charpoly_factorization': [[[-26010252218016, 57394839360, -15963812, -3020, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 23}
id: 967084
{'charpoly_factorization': [[[563529236434956, 135450035532, -43044217, -5248, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 29}
id: 967085
{'charpoly_factorization': [[[-2285702081856, 5448624816, 3506755, -4732, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 31}
id: 967086
{'charpoly_factorization': [[[21956626606324, 22088709020, -15182863, -10210, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 37}
id: 967087
{'charpoly_factorization': [[[1739992467579696, 2514636127152, -83206672, -21068, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 41}
id: 967088
{'charpoly_factorization': [[[559080671259904, 59824800320, -136056604, 12140, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 43}
id: 967089
{'charpoly_factorization': [[[11979503243382816, -1083600158880, -281478908, 4720, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 47}
id: 967090
{'charpoly_factorization': [[[21094536187174644, 2059300149780, -331590727, -21670, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 53}
id: 967091
{'charpoly_factorization': [[[-602063927055187776, 54450779680224, 99562420, -69068, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 59}
id: 967092
{'charpoly_factorization': [[[-813076074639139316, -92594962181500, -1648982281, 44000, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 61}
id: 967093
{'charpoly_factorization': [[[-102069395034904064, 32968503447680, -2345723512, 8720, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 67}
id: 967094
{'charpoly_factorization': [[[-3006746815089326976, 216244724769312, -3210188725, -47516, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 71}
id: 967095
{'charpoly_factorization': [[[4809100108163347744, -72180807065440, -6107953276, 2480, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 73}
id: 967096
{'charpoly_factorization': [[[-14263163119948878144, -194072668645728, 8453857948, 188192, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 79}
id: 967097
{'charpoly_factorization': [[[-7700727791309117904, -567775942328880, -7190346128, 68620, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 83}
id: 967098
{'charpoly_factorization': [[[5668537112271777636, 703400679068196, -426066523, -170266, 1], 1]], 'hecke_orbit_code': 27021597864886767, 'p': 89}
id: 967099
{'charpoly_factorization': [[[-5492096538456631424, 374382236942000, 4607290484, -186160, 1], 1]], 'hecke_orbit_code': 27021597864886767, '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': 7, 'label': '495.6.a.g', 'level': 495, 'portrait': 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', 'weight': 6}

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: 46820269
{'hecke_orbit_code': 27021597864886767, 'n': 1, 'trace_an': 4}
id: 46820270
{'hecke_orbit_code': 27021597864886767, 'n': 2, 'trace_an': 5}
id: 46820271
{'hecke_orbit_code': 27021597864886767, 'n': 3, 'trace_an': 0}
id: 46820272
{'hecke_orbit_code': 27021597864886767, 'n': 4, 'trace_an': 61}
id: 46820273
{'hecke_orbit_code': 27021597864886767, 'n': 5, 'trace_an': 100}
id: 46820274
{'hecke_orbit_code': 27021597864886767, 'n': 6, 'trace_an': 0}
id: 46820275
{'hecke_orbit_code': 27021597864886767, 'n': 7, 'trace_an': -90}
id: 46820276
{'hecke_orbit_code': 27021597864886767, 'n': 8, 'trace_an': 135}
id: 46820277
{'hecke_orbit_code': 27021597864886767, 'n': 9, 'trace_an': 0}
id: 46820278
{'hecke_orbit_code': 27021597864886767, 'n': 10, 'trace_an': 125}
id: 46820279
{'hecke_orbit_code': 27021597864886767, 'n': 11, 'trace_an': 484}
id: 46820280
{'hecke_orbit_code': 27021597864886767, 'n': 12, 'trace_an': 0}
id: 46820281
{'hecke_orbit_code': 27021597864886767, 'n': 13, 'trace_an': 820}
id: 46820282
{'hecke_orbit_code': 27021597864886767, 'n': 14, 'trace_an': 1687}
id: 46820283
{'hecke_orbit_code': 27021597864886767, 'n': 15, 'trace_an': 0}
id: 46820284
{'hecke_orbit_code': 27021597864886767, 'n': 16, 'trace_an': -2671}
id: 46820285
{'hecke_orbit_code': 27021597864886767, 'n': 17, 'trace_an': 3800}
id: 46820286
{'hecke_orbit_code': 27021597864886767, 'n': 18, 'trace_an': 0}
id: 46820287
{'hecke_orbit_code': 27021597864886767, 'n': 19, 'trace_an': -3394}
id: 46820288
{'hecke_orbit_code': 27021597864886767, 'n': 20, 'trace_an': 1525}
id: 46820289
{'hecke_orbit_code': 27021597864886767, 'n': 21, 'trace_an': 0}
id: 46820290
{'hecke_orbit_code': 27021597864886767, 'n': 22, 'trace_an': 605}
id: 46820291
{'hecke_orbit_code': 27021597864886767, 'n': 23, 'trace_an': 3020}
id: 46820292
{'hecke_orbit_code': 27021597864886767, 'n': 24, 'trace_an': 0}
id: 46820293
{'hecke_orbit_code': 27021597864886767, 'n': 25, 'trace_an': 2500}
id: 46820294
{'hecke_orbit_code': 27021597864886767, 'n': 26, 'trace_an': 3650}
id: 46820295
{'hecke_orbit_code': 27021597864886767, 'n': 27, 'trace_an': 0}
id: 46820296
{'hecke_orbit_code': 27021597864886767, 'n': 28, 'trace_an': 2635}
id: 46820297
{'hecke_orbit_code': 27021597864886767, 'n': 29, 'trace_an': 5248}
id: 46820298
{'hecke_orbit_code': 27021597864886767, 'n': 30, 'trace_an': 0}
id: 46820299
{'hecke_orbit_code': 27021597864886767, 'n': 31, 'trace_an': 4732}
id: 46820300
{'hecke_orbit_code': 27021597864886767, 'n': 32, 'trace_an': -11505}
id: 46820301
{'hecke_orbit_code': 27021597864886767, 'n': 33, 'trace_an': 0}
id: 46820302
{'hecke_orbit_code': 27021597864886767, 'n': 34, 'trace_an': 9759}
id: 46820303
{'hecke_orbit_code': 27021597864886767, 'n': 35, 'trace_an': -2250}
id: 46820304
{'hecke_orbit_code': 27021597864886767, 'n': 36, 'trace_an': 0}
id: 46820305
{'hecke_orbit_code': 27021597864886767, 'n': 37, 'trace_an': 10210}
id: 46820306
{'hecke_orbit_code': 27021597864886767, 'n': 38, 'trace_an': -16945}
id: 46820307
{'hecke_orbit_code': 27021597864886767, 'n': 39, 'trace_an': 0}
id: 46820308
{'hecke_orbit_code': 27021597864886767, 'n': 40, 'trace_an': 3375}
id: 46820309
{'hecke_orbit_code': 27021597864886767, 'n': 41, 'trace_an': 21068}
id: 46820310
{'hecke_orbit_code': 27021597864886767, 'n': 42, 'trace_an': 0}
id: 46820311
{'hecke_orbit_code': 27021597864886767, 'n': 43, 'trace_an': -12140}
id: 46820312
{'hecke_orbit_code': 27021597864886767, 'n': 44, 'trace_an': 7381}
id: 46820313
{'hecke_orbit_code': 27021597864886767, 'n': 45, 'trace_an': 0}
id: 46820314
{'hecke_orbit_code': 27021597864886767, 'n': 46, 'trace_an': 58442}
id: 46820315
{'hecke_orbit_code': 27021597864886767, 'n': 47, 'trace_an': -4720}
id: 46820316
{'hecke_orbit_code': 27021597864886767, 'n': 48, 'trace_an': 0}
id: 46820317
{'hecke_orbit_code': 27021597864886767, 'n': 49, 'trace_an': 24550}
id: 46820318
{'hecke_orbit_code': 27021597864886767, 'n': 50, 'trace_an': 3125}
id: 46820319
{'hecke_orbit_code': 27021597864886767, 'n': 51, 'trace_an': 0}
id: 46820320
{'hecke_orbit_code': 27021597864886767, 'n': 52, 'trace_an': 58250}
id: 46820321
{'hecke_orbit_code': 27021597864886767, 'n': 53, 'trace_an': 21670}
id: 46820322
{'hecke_orbit_code': 27021597864886767, 'n': 54, 'trace_an': 0}
id: 46820323
{'hecke_orbit_code': 27021597864886767, 'n': 55, 'trace_an': 12100}
id: 46820324
{'hecke_orbit_code': 27021597864886767, 'n': 56, 'trace_an': 28985}
id: 46820325
{'hecke_orbit_code': 27021597864886767, 'n': 57, 'trace_an': 0}
id: 46820326
{'hecke_orbit_code': 27021597864886767, 'n': 58, 'trace_an': -45435}
id: 46820327
{'hecke_orbit_code': 27021597864886767, 'n': 59, 'trace_an': 69068}
id: 46820328
{'hecke_orbit_code': 27021597864886767, 'n': 60, 'trace_an': 0}
id: 46820329
{'hecke_orbit_code': 27021597864886767, 'n': 61, 'trace_an': -44000}
id: 46820330
{'hecke_orbit_code': 27021597864886767, 'n': 62, 'trace_an': -33375}
id: 46820331
{'hecke_orbit_code': 27021597864886767, 'n': 63, 'trace_an': 0}
id: 46820332
{'hecke_orbit_code': 27021597864886767, 'n': 64, 'trace_an': -68223}
id: 46820333
{'hecke_orbit_code': 27021597864886767, 'n': 65, 'trace_an': 20500}
id: 46820334
{'hecke_orbit_code': 27021597864886767, 'n': 66, 'trace_an': 0}
id: 46820335
{'hecke_orbit_code': 27021597864886767, 'n': 67, 'trace_an': -8720}
id: 46820336
{'hecke_orbit_code': 27021597864886767, 'n': 68, 'trace_an': 107335}
id: 46820337
{'hecke_orbit_code': 27021597864886767, 'n': 69, 'trace_an': 0}
id: 46820338
{'hecke_orbit_code': 27021597864886767, 'n': 70, 'trace_an': 42175}
id: 46820339
{'hecke_orbit_code': 27021597864886767, 'n': 71, 'trace_an': 47516}
id: 46820340
{'hecke_orbit_code': 27021597864886767, 'n': 72, 'trace_an': 0}
id: 46820341
{'hecke_orbit_code': 27021597864886767, 'n': 73, 'trace_an': -2480}
id: 46820342
{'hecke_orbit_code': 27021597864886767, 'n': 74, 'trace_an': 55717}
id: 46820343
{'hecke_orbit_code': 27021597864886767, 'n': 75, 'trace_an': 0}
id: 46820344
{'hecke_orbit_code': 27021597864886767, 'n': 76, 'trace_an': -102461}
id: 46820345
{'hecke_orbit_code': 27021597864886767, 'n': 77, 'trace_an': -10890}
id: 46820346
{'hecke_orbit_code': 27021597864886767, 'n': 78, 'trace_an': 0}
id: 46820347
{'hecke_orbit_code': 27021597864886767, 'n': 79, 'trace_an': -188192}
id: 46820348
{'hecke_orbit_code': 27021597864886767, 'n': 80, 'trace_an': -66775}
id: 46820349
{'hecke_orbit_code': 27021597864886767, 'n': 81, 'trace_an': 0}
id: 46820350
{'hecke_orbit_code': 27021597864886767, 'n': 82, 'trace_an': 279030}
id: 46820351
{'hecke_orbit_code': 27021597864886767, 'n': 83, 'trace_an': -68620}
id: 46820352
{'hecke_orbit_code': 27021597864886767, 'n': 84, 'trace_an': 0}
id: 46820353
{'hecke_orbit_code': 27021597864886767, 'n': 85, 'trace_an': 95000}
id: 46820354
{'hecke_orbit_code': 27021597864886767, 'n': 86, 'trace_an': -115328}
id: 46820355
{'hecke_orbit_code': 27021597864886767, 'n': 87, 'trace_an': 0}
id: 46820356
{'hecke_orbit_code': 27021597864886767, 'n': 88, 'trace_an': 16335}
id: 46820357
{'hecke_orbit_code': 27021597864886767, 'n': 89, 'trace_an': 170266}
id: 46820358
{'hecke_orbit_code': 27021597864886767, 'n': 90, 'trace_an': 0}
id: 46820359
{'hecke_orbit_code': 27021597864886767, 'n': 91, 'trace_an': 97740}
id: 46820360
{'hecke_orbit_code': 27021597864886767, 'n': 92, 'trace_an': -53950}
id: 46820361
{'hecke_orbit_code': 27021597864886767, 'n': 93, 'trace_an': 0}
id: 46820362
{'hecke_orbit_code': 27021597864886767, 'n': 94, 'trace_an': -152926}
id: 46820363
{'hecke_orbit_code': 27021597864886767, 'n': 95, 'trace_an': -84850}
id: 46820364
{'hecke_orbit_code': 27021597864886767, 'n': 96, 'trace_an': 0}
id: 46820365
{'hecke_orbit_code': 27021597864886767, 'n': 97, 'trace_an': 186160}
id: 46820366
{'hecke_orbit_code': 27021597864886767, 'n': 98, 'trace_an': 393590}
id: 46820367
{'hecke_orbit_code': 27021597864886767, 'n': 99, 'trace_an': 0}
id: 46820368
{'hecke_orbit_code': 27021597864886767, 'n': 100, 'trace_an': 38125}

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.