LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-04-07T15:52:43.837270

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': 21168, 'analytic_conductor': 78.05952693759484, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [1323, 1, [785, 1081], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 17962212352, 'field_disc_factorization': [[2, 10], [7, 1], [1583, 2]], 'field_poly': [-112, 0, 369, 0, -42, 0, 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': 1, 'hecke_cutters': [[2, [-112, 0, 369, 0, -42, 0, 1]], [5, [-2699487, 0, 86103, 0, -585, 0, 1]], [13, [-48168, -684, 54, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588515595563, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 648, 'hecke_ring_index_factorization': [[2, 3], [3, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], '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': True, 'label': '1323.4.a.bf', 'level': 1323, 'level_is_powerful': True, '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, 7], 'level_radical': 21, 'minimal_twist': '1323.4.a.bf', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(6+\\beta _{2})q^{4}+(-2\\beta _{1}-\\beta _{3}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1323.4.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 6417795582425640, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.615', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '157.568', 'prec': 24}, {'__RealLiteral__': 0, 'data': '1.503', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6475.790', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.511', 'prec': 17}, 'traces': [6, 0, 0, 36, 0, 0, 0, 0, 0, -180, 0, 0, -108, 0, 0, 420, 0, 0, -198, 0, 0, -84, 0, 0, 420, 0, 0, 0, 0, 0, 90, 0, 0, 648, 0, 0, -402, 0, 0, -2844, 0, 0, -660, 0, 0, -1332, 0, 0, 0, 0, 0, -1224, 0, 0, -846, 0, 0, -1800, 0, 0, -1152, 0, 0, 2964, 0, 0, 924, 0, 0, 0, 0, 0, -1260, 0, 0, -5868, 0, 0, -1500, 0, 0, -4500, 0, 0, -2232, 0, 0, -2460, 0, 0, 0, 0, 0, 4968, 0, 0, -3312, 0, 0, 9504, 0, 0, -2790, 0, 0, -1536, 0, 0, 1494, 0, 0, 0, 0, 0, 6534, 0, 0, -8856, 0, 0, -3072, 0, 0, -7092, 0, 0, 2004, 0, 0, 11592, 0, 0, 0, 0, 0, 17352, 0, 0, -8280, 0, 0, -1428, 0, 0, -972, 0, 0, -4116, 0, 0, -6288, 0, 0, 0, 0, 0, -2196, 0, 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

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-0.32871466210447575, -0.29434171794402886, -0.3512729411139458, -0.3368741345545225, -0.17282561224741505, -0.19653782776352763, -0.44770210416058204, -0.21065939454721397, -0.2148109267562895, -0.0956683437094807, -0.22190353142446945, -0.07514322324051946, -0.37221724965065855, -0.3079959713413405, -0.3198861867726307, -0.3303753121287395, -0.233948513779852, -0.14151915667886578, -0.20438403855505302, -0.3826456355529769, -0.1828493350249454, -0.1210286059858536, -0.17153504296157734, -0.3462081181628875, -0.1417520846788847, -0.21827201926849535, -0.1987729424591022, -0.3475417682668466, -0.30554441934067395, -0.18852454794814433, -0.11620819801597287, -0.26611897756220787, -0.19923457534207129, -0.38453854363516976, -0.29911716258134063, -0.15231667874734722, -0.3715878001707098, -0.31652424182092986, -0.3657615092340033, -0.14923673497943363, -0.3609342683356795, -0.38204487982282725, -0.278888841507161, -0.26963157600453075, -0.3330347742455968, -0.38491565869613303, -0.4511099247033711, -0.2475688961931201, -0.11164651135088129, -0.2757727329792062, -0.38565018292917463, -0.19595437557141024, -0.1727088001734305, -0.11179976884458145, -0.1977986552713715, -0.284207226188882, -0.28856285114016, -0.35618931087724626, -0.18014963284737961, -0.3798121811978837, -0.26174953891410924, -0.3122602689912175, -0.23901016972649977, -0.12857570140598842, -0.271682728888121, -0.3573828318573573, -0.3039135561305295, -0.07093636065704319, -0.33143703194487134, -0.15591778691352884, -0.313754244415499, -0.2715706653347694, -0.24226613125794183, -0.17846810394818607, -0.15018559816956503, -0.06870897048084557, -0.3056875929166689, -0.1480032226831396, -0.2685151112783043, -0.31028158935115097, -0.3848564261639176, -0.1968702876405986, -0.36140151372681306, -0.0953409669942265, -0.2434641258101051, -0.3098921458694025, -0.311868347198555, -0.2717014382336787, -0.2838835818327222, -0.11208868797963707, -0.33988156725816965, -0.26507984753428865, 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-0.2467016638552436, -0.32391155483589423, -0.20096436341814713, -0.28534148407793847, -0.40920831511457545, -0.19998281385698302, -0.34034176224584556, -0.26841375914727766, -0.24485909581793525, -0.13890561359347392, -0.1885725795397805, -0.16916345750378578, -0.18808970923278953, -0.3544981700312328, -0.2825667272115435, -0.26838320793068726, -0.28081155402994296, -0.27426107975834707, -0.13270354709828996, -0.13416232170277959, -0.16117687563053118, -0.1683291597868651, -0.3395622041978074, -0.28449671892105594, -0.2610446095848283, -0.25750808759300237, -0.16802850723080903, -0.25091780434608674, -0.2374538559741056, -0.185212512014969, -0.16129106927312328, -0.07816645286891853, -0.2129740256099352, -0.24859417358396366, -0.26941399307802716, -0.27416440566953126, -0.22324914683547825, -0.22720467505800693], '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': 0.5609918090126944, 'hecke_orbit': 32, 'hecke_orbit_code': 139611588515595563, 'label': '1323.4.a.bf.1.4', 'level': 1323, 'weight': 4}

Column	Type
ALdims	integer[]
Nk2	integer
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision
char_conductor	integer
char_degree	integer
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
conrey_index	integer
cusp_dim	integer
dihedral_dim	integer
dim	integer
eis_dim	integer
eis_new_dim	integer
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint
hecke_orbit_dims	integer[]
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
mf_dim	integer
mf_new_dim	integer
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint
relative_dim	integer
s4_dim	integer
sturm_bound	integer
trace_bound	integer
trace_display	numeric[]
traces	numeric[]
weight	smallint
weight_parity	smallint

mf_newspaces • Show schema

{'ALdims': [41, 40, 39, 44], 'Nk2': 21168, 'analytic_conductor': 78.05952693759484, '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': [1323, 1, [785, 1081], [1, 1]], 'conrey_index': 1, 'cusp_dim': 480, 'dim': 164, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 67110187, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 12, 12], 'label': '1323.4.a', 'level': 1323, 'level_is_powerful': True, '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, 7], 'level_radical': 21, 'mf_dim': 528, 'mf_new_dim': 164, 'num_forms': 43, 'plus_dim': 85, 'prim_orbit_index': 1, 'relative_dim': 164, 'sturm_bound': 672, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [164, 0, 0, 662, 0, 0, 0, 0, 0, -30, 0, 0, -2, 0, 0, 2810, 0, 0, -62, 0, 0, -270, 0, 0, 4202, 0, 0, 0, 0, 0, 406, 0, 0, -204, 0, 0, -338, 0, 0, -1266, 0, 0, 592, 0, 0, -1224, 0, 0, 0, 0, 0, 220, 0, 0, 1122, 0, 0, 300, 0, 0, 2410, 0, 0, 12302, 0, 0, 1222, 0, 0, 0, 0, 0, 1540, 0, 0, 2128, 0, 0, -2486, 0, 0, 1104, 0, 0, -720, 0, 0, -8730, 0, 0, 0, 0, 0, 1704, 0, 0, -3056, 0, 0, 15740, 0, 0, -5606, 0, 0, 510, 0, 0, 1096, 0, 0, 0, 0, 0, -6660, 0, 0, 3900, 0, 0, 22898, 0, 0, 18382, 0, 0, -12038, 0, 0, 17724, 0, 0, 0, 0, 0, 8328, 0, 0, -6662, 0, 0, 36, 0, 0, -6780, 0, 0, -6332, 0, 0, -3068, 0, 0, 0, 0, 0, 6172, 0, 0, -18786, 0, 0, -10142, 0, 0, -2730, 0, 0, 27090, 0, 0, 10744, 0, 0, 0, 0, 0, -9588, 0, 0, 4102, 0, 0, -6864, 0, 0, 18816, 0, 0, 11568, 0, 0, 1384, 0, 0, 0, 0, 0, -12992, 0, 0, -11118, 0, 0, 36780, 0, 0, -7640, 0, 0, -5594, 0, 0, -5874, 0, 0, 0, 0, 0, 17802, 0, 0, -19736, 0, 0, -39420, 0, 0, -9536, 0, 0, 32784, 0, 0, 5388, 0, 0, 0, 0, 0, -3182, 0, 0, 66628, 0, 0, -17110, 0, 0, 11214, 0, 0, 16716, 0, 0, 49250, 0, 0, 0, 0, 0, 33786, 0, 0, 34050, 0, 0, 29032, 0, 0, -8936, 0, 0, -1020, 0, 0, -15020, 0, 0, 0, 0, 0, 8284, 0, 0, -93816, 0, 0, 33788, 0, 0, -9206, 0, 0, 39252, 0, 0, 54222, 0, 0, 0, 0, 0, 13492, 0, 0, 45856, 0, 0, 726, 0, 0, 35104, 0, 0, -94892, 0, 0, 2160, 0, 0, 0, 0, 0, 32866, 0, 0, 9876, 0, 0, 18838, 0, 0, -33672, 0, 0, -41558, 0, 0, -63024, 0, 0, 0, 0, 0, -51138, 0, 0, -62858, 0, 0, -141486, 0, 0, 20280, 0, 0, 6126, 0, 0, 75570, 0, 0, 0, 0, 0, -38192, 0, 0, 50496, 0, 0, -58166, 0, 0, -12972, 0, 0, -53918, 0, 0, -40968, 0, 0, 0, 0, 0, 23710, 0, 0, 20472, 0, 0, 110634, 0, 0, -9692, 0, 0, 137360, 0, 0, -56992, 0, 0, 0, 0, 0, 16576, 0, 0, -185516, 0, 0, -104970, 0, 0, 8436, 0, 0, 15718, 0, 0, -24570, 0, 0, 0, 0, 0, -49440, 0, 0, 103330, 0, 0, -44276, 0, 0, 5446, 0, 0, -165060, 0, 0, -152748, 0, 0, 0, 0, 0, -25452, 0, 0, 84840, 0, 0, -24626, 0, 0, -58476, 0, 0, -114416, 0, 0, -135852, 0, 0, 0, 0, 0, -25080, 0, 0, -143030, 0, 0, 19344, 0, 0, 53426, 0, 0, 242348, 0, 0, 57874, 0, 0, 0, 0, 0, 37560, 0, 0, 233782, 0, 0, -8456, 0, 0, 9780, 0, 0, -79494, 0, 0, 4750, 0, 0, 0, 0, 0, 68424, 0, 0, -17508, 0, 0, 423948, 0, 0, -75506, 0, 0, 23544, 0, 0, 46412, 0, 0, 0, 0, 0, -4998, 0, 0, -182160, 0, 0, -137306, 0, 0, 61824, 0, 0, -145982, 0, 0, 164040, 0, 0, 0, 0, 0, -186740, 0, 0, 133376, 0, 0, -107436, 0, 0, 28596, 0, 0, -84048, 0, 0, -7106, 0, 0, 0, 0, 0, -98954, 0, 0, 62700, 0, 0, 38802, 0, 0, -52776, 0, 0, 39656, 0, 0, -2840, 0, 0, 0, 0, 0, 93960, 0, 0, -196706, 0, 0, -159410, 0, 0, -46022, 0, 0, 273084, 0, 0, 129226, 0, 0, 0, 0, 0, -58298, 0, 0, 153384, 0, 0, 181328, 0, 0, 139624, 0, 0, 18016, 0, 0, 73614, 0, 0, 0, 0, 0, 178038, 0, 0, 47728, 0, 0, 56112, 0, 0, 6360, 0, 0, 20740, 0, 0, -121818, 0, 0, 0, 0, 0, 51286, 0, 0, -146070, 0, 0, -112920, 0, 0, -137004, 0, 0, 198904, 0, 0, -115206, 0, 0, 0, 0, 0, 128778, 0, 0, 191532, 0, 0, -27608, 0, 0, 75448, 0, 0, -293166, 0, 0, 142584, 0, 0, 0, 0, 0, -22, 0, 0, 36888, 0, 0, 269818, 0, 0, -194820, 0, 0, -87312, 0, 0, -276012, 0, 0, 0, 0, 0, -232388, 0, 0, -163526, 0, 0, 50478, 0, 0, 25096, 0, 0, -161424, 0, 0, 131548, 0, 0, 0, 0, 0, -174138, 0, 0, 205200, 0, 0, 228460, 0, 0, 94248, 0, 0, 9142, 0, 0, 150120, 0, 0, 0, 0, 0, 62196, 0, 0, 66784, 0, 0, -572798, 0, 0, -103784, 0, 0, -390330, 0, 0, -88368, 0, 0, 0, 0, 0, 177622, 0, 0, -264972, 0, 0, -62086, 0, 0, -310670, 0, 0, 278808, 0, 0, -153996, 0, 0, 0, 0, 0, -205014, 0, 0, 56644, 0, 0, -509856, 0, 0, 52184, 0, 0, 85308, 0, 0, -32720, 0, 0, 0, 0, 0, -17390, 0, 0, -30320, 0, 0, 219900, 0, 0, 154188, 0, 0, 150980, 0, 0, -524924, 0, 0, 0, 0, 0, -94392, 0, 0, 51838, 0, 0, -120534, 0, 0, -29294, 0, 0, -193980, 0, 0, 1878, 0, 0, 0, 0, 0, 209966, 0, 0, 31104, 0, 0, 44314, 0, 0, 381954, 0, 0, 206254, 0, 0, -30648, 0, 0, 0, 0, 0, 234088, 0, 0, 31422, 0, 0, 84852, 0, 0, -150144, 0, 0, -311568, 0, 0, -99266, 0, 0, 0, 0, 0, 9246, 0, 0, -214148, 0, 0, -14018, 0, 0, 17346, 0, 0, 232078, 0, 0, 132924, 0, 0, 0, 0, 0, -252894, 0, 0, 163972, 0, 0, -350304, 0, 0, 273792, 0, 0, -247800, 0, 0, -111262, 0, 0, 0, 0, 0, -361080, 0, 0, -86280, 0, 0, 157626, 0, 0, -84224, 0, 0, -12404, 0, 0, 334638, 0, 0, 0, 0, 0, 293704, 0, 0, -206436, 0, 0, -317442, 0, 0, -79830, 0, 0, 148448, 0, 0, 155632, 0, 0, 0, 0, 0, -31316, 0, 0, -112110], 'weight': 4, '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: 48773229
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 139611588515595563, 'source_is_minimal': True, 'source_label': '1323.4.a.bf.1.4', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 139611588515595563, 'target_is_minimal': True, 'target_label': '1323.4.a.bf.1.4', 'target_level': 1323, 'twist_class_label': '1323.4.a.bf.1.3', 'twist_class_level': 1323, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
id: 48773230
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 139611588515595563, 'source_is_minimal': True, 'source_label': '1323.4.a.bf.1.4', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 139611588515595563, 'target_is_minimal': True, 'target_label': '1323.4.a.bf.1.3', 'target_level': 1323, 'twist_class_label': '1323.4.a.bf.1.3', 'twist_class_level': 1323, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
id: 48773231
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 139611588515595563, 'source_is_minimal': True, 'source_label': '1323.4.a.bf.1.4', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 144115188142966059, 'target_is_minimal': True, 'target_label': '1323.4.a.bg.1.4', 'target_level': 1323, 'twist_class_label': '1323.4.a.bf.1.3', 'twist_class_level': 1323, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
id: 48773232
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 139611588515595563, 'source_is_minimal': True, 'source_label': '1323.4.a.bf.1.4', 'source_level': 1323, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 144115188142966059, 'target_is_minimal': True, 'target_label': '1323.4.a.bg.1.3', 'target_level': 1323, 'twist_class_label': '1323.4.a.bf.1.3', 'twist_class_level': 1323, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 1864150
{'charpoly_factorization': [[[-112, 0, 369, 0, -42, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 2}
id: 1864151
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 139611588515595563, 'p': 3}
id: 1864152
{'charpoly_factorization': [[[-2699487, 0, 86103, 0, -585, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 5}
id: 1864153
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 139611588515595563, 'p': 7}
id: 1864154
{'charpoly_factorization': [[[-1539727, 0, 305367, 0, -2457, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 11}
id: 1864155
{'charpoly_factorization': [[[-48168, -684, 54, 1], 2]], 'hecke_orbit_code': 139611588515595563, 'p': 13}
id: 1864156
{'charpoly_factorization': [[[-143993106432, 0, 101991312, 0, -18648, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 17}
id: 1864157
{'charpoly_factorization': [[[-450387, -4545, 99, 1], 2]], 'hecke_orbit_code': 139611588515595563, 'p': 19}
id: 1864158
{'charpoly_factorization': [[[-16248512287, 0, 36081687, 0, -20937, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 23}
id: 1864159
{'charpoly_factorization': [[[-1629346543552, 0, 2878057776, 0, -119604, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 29}
id: 1864160
{'charpoly_factorization': [[[-1675863, -54981, -45, 1], 2]], 'hecke_orbit_code': 139611588515595563, 'p': 31}
id: 1864161
{'charpoly_factorization': [[[-8763417, -43569, 201, 1], 2]], 'hecke_orbit_code': 139611588515595563, 'p': 37}
id: 1864162
{'charpoly_factorization': [[[-249467996315727, 0, 12100314519, 0, -192537, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 41}
id: 1864163
{'charpoly_factorization': [[[-819288, 468, 330, 1], 2]], 'hecke_orbit_code': 139611588515595563, 'p': 43}
id: 1864164
{'charpoly_factorization': [[[-135023220900288, 0, 8649051696, 0, -172116, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 47}
id: 1864165
{'charpoly_factorization': [[[-38601195716608, 0, 14267185152, 0, -323568, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 53}
id: 1864166
{'charpoly_factorization': [[[-11754379977536448, 0, 177570210096, 0, -810612, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 59}
id: 1864167
{'charpoly_factorization': [[[-9597312, -51984, 576, 1], 2]], 'hecke_orbit_code': 139611588515595563, 'p': 61}
id: 1864168
{'charpoly_factorization': [[[4527656, 35076, -462, 1], 2]], 'hecke_orbit_code': 139611588515595563, 'p': 67}
id: 1864169
{'charpoly_factorization': [[[-232630513987207, 0, 11383599591, 0, -185073, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 71}
id: 1864170
{'charpoly_factorization': [[[78997464, -550188, 630, 1], 2]], 'hecke_orbit_code': 139611588515595563, 'p': 73}
id: 1864171
{'charpoly_factorization': [[[20170072, -323772, 750, 1], 2]], 'hecke_orbit_code': 139611588515595563, 'p': 79}
id: 1864172
{'charpoly_factorization': [[[-990985816032472512, 0, 3222272030256, 0, -3280788, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 83}
id: 1864173
{'charpoly_factorization': [[[-1294403552091120807, 0, 4660587159399, 0, -4169169, 0, 1], 1]], 'hecke_orbit_code': 139611588515595563, 'p': 89}
id: 1864174
{'charpoly_factorization': [[[-913012992, -212688, 1656, 1], 2]], 'hecke_orbit_code': 139611588515595563, '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': 32, 'label': '1323.4.a.bf', 'level': 1323, 'portrait': 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', 'weight': 4}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 68981953
{'hecke_orbit_code': 139611588515595563, 'n': 1, 'trace_an': 6}
id: 68981954
{'hecke_orbit_code': 139611588515595563, 'n': 2, 'trace_an': 0}
id: 68981955
{'hecke_orbit_code': 139611588515595563, 'n': 3, 'trace_an': 0}
id: 68981956
{'hecke_orbit_code': 139611588515595563, 'n': 4, 'trace_an': 36}
id: 68981957
{'hecke_orbit_code': 139611588515595563, 'n': 5, 'trace_an': 0}
id: 68981958
{'hecke_orbit_code': 139611588515595563, 'n': 6, 'trace_an': 0}
id: 68981959
{'hecke_orbit_code': 139611588515595563, 'n': 7, 'trace_an': 0}
id: 68981960
{'hecke_orbit_code': 139611588515595563, 'n': 8, 'trace_an': 0}
id: 68981961
{'hecke_orbit_code': 139611588515595563, 'n': 9, 'trace_an': 0}
id: 68981962
{'hecke_orbit_code': 139611588515595563, 'n': 10, 'trace_an': -180}
id: 68981963
{'hecke_orbit_code': 139611588515595563, 'n': 11, 'trace_an': 0}
id: 68981964
{'hecke_orbit_code': 139611588515595563, 'n': 12, 'trace_an': 0}
id: 68981965
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Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.