LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-09-22T12:12:28.313681

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': 28800, 'analytic_conductor': 140.5732614678548, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 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': [450, 1, [101, 127], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': 0, 'hecke_cutters': [[7, [-1174, 1]], [11, [-7563, 1]], [17, [-24021, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539596035293634, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': '450.8.a.l', 'level': 450, '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, 5], 'level_radical': 30, 'minimal_twist': '50.8.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-8q^{2}+2^{6}q^{4}+1174q^{7}-2^{9}q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '450.8.a', 'trace_display': [-8, 0, 0, 1174], 'trace_hash': 137206072839790706, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '1.007', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '2.041', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '5.116', 'prec': 14}], 'trace_zratio': 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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], [-0.7071067811865476, 0.0], [0.0, 0.0], [0.5, 0.0], [0.0, 0.0], [0.0, 0.0], [1.2936743186963053, 0.0], [-0.3535533905932738, 0.0], [0.0, 0.0], [0.0, 0.0], [1.7132459046142947, 0.0], [0.0, 0.0], [-0.678163280410089, 0.0], [-0.9147658833970443, 0.0], [0.0, 0.0], [0.25, 0.0], [1.1858229694682993, 0.0], [0.0, 0.0], [-1.7136776680067403, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.2114477969928488, 0.0], [-0.9874400845845758, 0.0], [0.0, 0.0], [0.0, 0.0], [0.47953385432968804, 0.0], [0.0, 0.0], [0.6468371593481527, 0.0], [-0.3581577230656657, 0.0], [0.0, 0.0], [-1.1596964414509874, 0.0], [-0.1767766952966369, 0.0], [0.0, 0.0], [-0.8385034629978028, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.6395958942672209, 0.0], [1.2117530998155153, 0.0], [0.0, 0.0], [0.0, 0.0], [0.5386760957827817, 0.0], [0.0, 0.0], [-1.2525110544987843, 0.0], [0.8566229523071474, 0.0], [0.0, 0.0], [0.6982255798251716, 0.0], [-1.16172165733744, 0.0], [0.0, 0.0], [0.6735932428543501, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.3390816402050445, 0.0], [0.5250050902369804, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.45738294169852217, 0.0], [0.0, 0.0], [0.25325575471406575, 0.0], [-0.9515284936390531, 0.0], [0.0, 0.0], [-1.1670483677356576, 0.0], [0.8200292178679012, 0.0], [0.0, 0.0], [0.125, 0.0], [0.0, 0.0], [0.0, 0.0], [1.3990889953192231, 0.0], [0.5929114847341497, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.366481870091474, 0.0], [0.0, 0.0], [0.02516816253890681, 0.0], [0.45226259405542596, 0.0], [0.0, 0.0], [-0.8568388340033701, 0.0], [2.2163822284111334, 0.0], [0.0, 0.0], [0.331801654754181, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.38090152019109913, 0.0], [0.3122472582948732, 0.0], [0.0, 0.0], [0.0, 0.0], [0.8856590601472037, 0.0], [0.0, 0.0], [-0.6057238984964244, 0.0], [-0.902817339606137, 0.0], [0.0, 0.0], [-0.8773224197493733, 0.0], [-0.4937200422922879, 0.0], [0.0, 0.0], [0.8214612617545786, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.37955579024579056, 0.0], [-0.47630234978374786, 0.0], [0.0, 0.0], [0.0, 0.0]], 'angles': [None, None, None, -0.13804566798879225, -0.08627917575730604, -0.3050581458688237, -0.1489891962383885, -0.4137874412662178, -0.3321816217841697, -0.27865586305726264, -0.348444077783824, -0.30180751674377837, -0.20659755374828684, -0.3577066646178715, -0.34864197650944073, -0.20772609366112263, -0.3289142270297261, -0.3491633295856586, -0.12669313778030064, -0.36971506446936697, -0.24799712839716645, -0.22347341846992227, -0.22505008648449565, -0.32453916310921416, -0.280388396388259, -0.21941192230583498, -0.26257683313412605, -0.19333487069977429, -0.32460241439464593, -0.1315293015325212, -0.1610363408890662, -0.358329265154818, -0.27481431190299005, -0.2292243904584117, -0.29375654202296814, -0.31520537079525746, -0.16890897685868525, -0.13872905198495347, -0.19576999988448543, -0.27174750705544043, -0.15454991729301, -0.4116458818489194, -0.21515291793072777, -0.29696408448173156, -0.3247198402509679, -0.3992574400758655, -0.08847224560134381, -0.3461514582976311, -0.2537604631357366, -0.4246169479063094, -0.31230636873636647, -0.38007641141289616, -0.3254882097857962, -0.26407687500415955, -0.21947998654307882, -0.3737061508964814, -0.13650999763715946, -0.2922603928245391, -0.2701219880810544, -0.1910389717292778, -0.37825452449715946, -0.1399757679383578, -0.2516171365238725, -0.188729927899929, -0.21415766343836265, -0.3025020725646818, -0.27287657194764514, -0.19377974401040676, -0.2805348351034097, -0.19652382176277242, -0.2853460120683641, -0.18799286046997515, -0.3265325935803064, -0.15305147440570224, -0.24633485356061463, -0.24117318724782313, -0.058775945198845325, -0.17918295309945476, -0.27909663026029463, -0.23480625944731082, -0.13634966582277125, -0.3877815471158054, -0.33133654755377695, -0.19076429540539758, -0.23303669221130877, -0.16624715146277647, -0.1906097436247925, -0.2576158287058929, -0.3221550885046229, -0.4208858998590625, -0.19509968671729339, -0.3159665234513357, -0.15958701067701955, -0.304839670217002, -0.09080281250369361, -0.09492175322328437, -0.23221757633456275, -0.20257073701176123, -0.2519094165099953, -0.10231838222589322], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 12, 'hecke_orbit_code': 49539596035293634, 'label': '450.8.a.l.1.1', 'level': 450, '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': [5, 6, 7, 9, 5, 6, 9, 8], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [73, 68, 68, 67, 70, 71, 66, 68], 'Nk2': 28800, 'analytic_conductor': 140.5732614678548, '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': [450, 1, [101, 127], [1, 1]], 'conrey_index': 1, 'cusp_dim': 606, 'dim': 55, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 134218178, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '450.8.a', 'level': 450, '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, 5], 'level_radical': 30, 'mf_dim': 654, 'mf_new_dim': 55, 'num_forms': 39, 'plus_dim': 29, 'prim_orbit_index': 1, 'relative_dim': 55, 'sturm_bound': 720, 'trace_bound': 7, 'trace_display': [8, 0, 0, 0], 'traces': [55, 8, 0, 3520, 0, 0, 0, 512, 0, 0, 5426, 0, -10602, -17120, 0, 225280, 51102, 0, 67502, 0, 0, -8736, -5280, 0, 0, -55536, 0, 0, -194466, 0, -297676, 32768, 0, 474048, 0, 0, -713586, -142688, 0, 0, -375148, 0, -1642356, 347264, 0, 243168, -2181360, 0, 5794023, 0, 0, -678528, 3846762, 0, 0, -1095680, 0, -1944624, 936580, 0, 1547258, -2785856, 0, 14417920, 0, 0, 8467764, 3270528, 0, 0, -7365984, 0, -8673366, -4211216, 0, 4320128, -12514560, 0, 4592780, 0, 0, 8338608, 30553476, 0, 0, -6574112, 0, -559104, -34208872, 0, 14684560, -337920, 0, 9319104, 0, 0, 16865058, 24383688, 0, 0, -54891902, 0, -21779040, -3554304, 0, 326256, -11256804, 0, -1533934, 0, 0, 0, 106000086, 0, 0, -12445824, 0, -19485984, -17030276, 0, 106418065, -11707280, 0, -19051264, 0, 0, 69320472, 2097152, 0, 0, -42306444, 0, -36672000, -12243760, 0, 30339072, -97291938, 0, 123890294, 0, 0, 3557952, 134736240, 0, 0, -33282176, 0, -45669504, 281390134, 0, -2369620, -9132032, 0, 74341152, 0, 0, -11508138, 51173056, 0, 0, -180800984, 0, -262918428, -24009472, 0, -83142288, -13169760, 0, 305317497, 0, 0, -105110784, 34430514, 0, 0, 22224896, 0, 194684976, 351128194, 0, 68552162, 245673536, 0, 15562752, 0, 0, -232854696, -139607040, 0, 0, 224903940, 0, 39955506, -22219696, 0, 370817472, 117831978, 0, -121987936, 0, 0, 31657872, -284053128, 0, 0, 192628928, 0, -43425792, -104447190, 0, 449197226, 246192768, 0, 138822096, 0, 0, 613114896, -425386640, 0, 0, 1249283844, 0, 1226520264, -70123520, 0, 84057504, 9511116, 0, -908378938, 0, 0, -124455936, -549910314, 0, 0, 59941120, 0, 420329856, 140607584, 0, -1091519704, 803119592, 0, 99024512, 0, 0, 770653272, -178294784, 0, 0, 293652390, 0, -463800960, -1182880544, 0, 922746880, -701645226, 0, -619158872, 0, 0, -171765984, -528260160, 0, 0, 966493536, 0, 541936896, 844378494, 0, 755593844, 209313792, 0, 1196634432, 0, 0, -22845426, -753039968, 0, 0, 786758238, 0, 51567708, -471422976, 0, -330264576, -1095924072, 0, 1011196579, 0, 0, -555095424, -782368278, 0, 0, -269517824, 0, -787654512, 2614245312, 0, -2066962448, 2519671744, 0, 276488192, 0, 0, 1593776724, -800931840, 0, 0, 258081756, 0, 397367274, -827240656, 0, 293937920, -1510201614, 0, 4738579272, 0, 0, -2531973120, 816177528, 0, 0, -727949872, 0, 533670912, -2363183152, 0, 682148798, 1955422464, 0, -287564544, 0, 0, -401038638, -770759688, 0, 0, -915697468, 0, -3225876816, -420743168, 0, 1994538384, -2698630476, 0, -1806760366, 0, 0, -35782656, 3979538718, 0, 0, -2189367808, 0, 314333088, 4596809676, 0, 1319127513, 4212459952, 0, 939811840, 0, 0, 1625532792, -21626880, 0, 0, 1443969912, 0, -237311970, -4754651248, 0, 596422656, -5130468204, 0, -4854630406, 0, 0, -3228384000, 5876737680, 0, 0, -1139571680, 0, 1079363712, 7720832594, 0, -4766968116, 1560556032, 0, 2367976752, 0, 0, 7855310118, -338118464, 0, 0, -1755218708, 0, -1492332144, -3513081728, 0, 8985991680, -9658810320, 0, -8698567552, 0, 0, -1393858560, 7872766080, 0, 0, -227475456, 0, 224658816, 2836753730, 0, 1224234182, 8347110880, 0, 20880384, 0, 0, 2167874064, -720435456, 0, 0, -13246070044, 0, -4344652926, -6728983616, 0, -98171776, -7873478400, 0, -3071866504, 0, 0, -5273121120, 5444671956, 0, 0, 2532447232, 0, 0, 9604155444, 0, -11190214302, 6784005504, 0, 3381557472, 0, 0, -1170890166, -3588584720, 0, 0, -9654413034, 0, 1953374136, -796532736, 0, 922721808, -7513869132, 0, 400667572, 0, 0, -1247102976, 4063556640, 0, 0, -1089937664, 0, 3056309760, -13583734924, 0, -7315639076, 14485290256, 0, 6810756160, 0, 0, 9284040144, -749265920, 0, 0, 10347387852, 0, -14146206948, -20762308992, 0, -1219280896, -10147893120, 0, -1019590348, 0, 0, -7203026976, -3774053448, 0, 0, -8974706656, 0, 4436510208, 18773858754, 0, 1219668556, 134217728, 0, 4861227408, 0, 0, -10086459840, -11372456896, 0, 0, 19797934948, 0, 1591805004, -2707612416, 0, 7349843040, -12610250064, 0, 15542684263, 0, 0, -2347008000, -5076706476, 0, 0, -783600640, 0, -690771120, 9365199018, 0, -21979604770, 17367494272, 0, 1941700608, 0, 0, 6054313236, -6226684032, 0, 0, 4367383896, 0, 9059564304, -13480424816, 0, 7928978816, -15534374094, 0, -44594800520, 0, 0, -23914312656, -3276828276, 0, 0, 13675454864, 0, 227708928, -18175880932, 0, -30030449908, 8623119360, 0, -16571115168, 0, 0, 25930442994, -16526478952, 0, 0, -16249082756, 0, -9882535464, -2130059264, 0, -8338048080, -8001081444, 0, 9493166140, 0, 0, -2922848256, -2537196570, 0, 0, 18008968576, 0, 21540092160, 47424413676, 0, 21601173572, 22169979008, 0, -151655680, 0, 0, -21435270744, -584450048, 0, 0, -1006564224, 0, 12571198926, -15215423184, 0, 4757833728, 2917502310, 0, -11223755284, 0, 0, 19008762432, -15860582856, 0, 0, -18982839536, 0, -736520832, -36046375040, 0, -24743860324, 3275075584, 0, 26606414736, 0, 0, 3571859526, -13374743040, 0, 0, 31199882846, 0, 32693501076, -11571262976, 0, 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-171857580570, 0, -69566662284, 79954166016, 0, -23955145296, 74827133760, 0, 30138336424, 0, 0, 78497296896, 25869184320, 0, 0, -4487905280, 0, -16798517520, -45567176208, 0, 72515129520, -95936601600, 0, 5379680256, 0, 0, -62951668068, 608711424, 0, 0, 128305718424, 0, 37871592048, 134277532960, 0, -58136252032, 72141054720, 0, -93698849500, 0, 0, -80177679792, -114216204960, 0, 0, 31006891008, 0, -7965179904, -142198629066, 0, 137069158278, -35194260096, 0, -104365118496, 0, 0, 262048606506, 9589960832, 0, 0, -35993053882, 0, 175542454080, 3836231680, 0, -85208575680, 101447907612, 0, 189472369084, 0, 0, 26901110784, -70220926242, 0, 0, 8998885376, 0, 28888151424, 54099902124, 0, 14073040479, -133924070368, 0, -69857261056, 0, 0, -271698098880, 51399653888, 0, 0, 189130312962, 0, -124181896608, 48542148384, 0, 6337568768, 48770138766, 0, -55389356154, 0, 0, 210568472544, -115500445752, 0, 0, 77143234464, 0, 49321809408, 78417211792, 0, 41979257132, -11410866176, 0, 62582302080, 0, 0, -159175848018, -852906848, 0, 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: 47367065
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539596035293634, 'target_is_minimal': False, 'target_label': '450.8.a.l.1.1', 'target_level': 450, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
id: 47367066
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998271070258, 'target_is_minimal': True, 'target_label': '50.8.a.f.1.1', 'target_level': 50, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
id: 47367067
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057731611099586, 'target_is_minimal': False, 'target_label': '450.8.c.q.199.1', 'target_level': 450, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 8}
id: 47367068
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 199, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057731611099586, 'target_is_minimal': False, 'target_label': '450.8.c.q.199.2', 'target_level': 450, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 8}
id: 47367069
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994544775618, 'target_is_minimal': False, 'target_label': '450.8.a.p.1.1', 'target_level': 450, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 8}
id: 47367070
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594172146064, 'target_is_minimal': False, 'target_label': '400.8.a.q.1.1', 'target_level': 400, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 8}
id: 47367071
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668481065010, 'target_is_minimal': False, 'target_label': '50.8.b.b.49.2', 'target_level': 50, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 8}
id: 47367072
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668481065010, 'target_is_minimal': False, 'target_label': '50.8.b.b.49.1', 'target_level': 50, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 8}
id: 47367073
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199388958770, 'target_is_minimal': True, 'target_label': '50.8.a.c.1.1', 'target_level': 50, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 8}
id: 47367074
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510936455283088, 'target_is_minimal': False, 'target_label': '400.8.c.d.49.2', 'target_level': 400, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 8}
id: 47367075
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936455283088, 'target_is_minimal': False, 'target_label': '400.8.c.d.49.1', 'target_level': 400, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 8}
id: 47367076
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539596035293634, 'source_is_minimal': False, 'source_label': '450.8.a.l.1.1', 'source_level': 450, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510799016329616, 'target_is_minimal': False, 'target_label': '400.8.a.d.1.1', 'target_level': 400, 'twist_class_label': '50.8.a.c.1.1', 'twist_class_level': 50, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 8}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 812150
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 2}
id: 812151
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 3}
id: 812152
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 5}
id: 812153
{'charpoly_factorization': [[[-1174, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 7}
id: 812154
{'charpoly_factorization': [[[-7563, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 11}
id: 812155
{'charpoly_factorization': [[[5372, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 13}
id: 812156
{'charpoly_factorization': [[[-24021, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 17}
id: 812157
{'charpoly_factorization': [[[51235, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 19}
id: 812158
{'charpoly_factorization': [[[57618, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 23}
id: 812159
{'charpoly_factorization': [[[47040, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 29}
id: 812160
{'charpoly_factorization': [[[192358, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 31}
id: 812161
{'charpoly_factorization': [[[197066, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 37}
id: 812162
{'charpoly_factorization': [[[-237723, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 41}
id: 812163
{'charpoly_factorization': [[[653012, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 43}
id: 812164
{'charpoly_factorization': [[[826884, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 47}
id: 812165
{'charpoly_factorization': [[[-569022, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 53}
id: 812166
{'charpoly_factorization': [[[1501080, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 59}
id: 812167
{'charpoly_factorization': [[[2068918, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 61}
id: 812168
{'charpoly_factorization': [[[-3444349, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 67}
id: 812169
{'charpoly_factorization': [[[4121052, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 71}
id: 812170
{'charpoly_factorization': [[[-83653, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 73}
id: 812171
{'charpoly_factorization': [[[-1454030, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 79}
id: 812172
{'charpoly_factorization': [[[-1626567, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 83}
id: 812173
{'charpoly_factorization': [[[6004335, 1], 1]], 'hecke_orbit_code': 49539596035293634, 'p': 89}
id: 812174
{'charpoly_factorization': [[[3411746, 1], 1]], 'hecke_orbit_code': 49539596035293634, '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': 12, 'label': '450.8.a.l', 'level': 450, 'portrait': 'data:image/png;base64,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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: 56767975
{'hecke_orbit_code': 49539596035293634, 'n': 1, 'trace_an': 1}
id: 56767976
{'hecke_orbit_code': 49539596035293634, 'n': 2, 'trace_an': -8}
id: 56767977
{'hecke_orbit_code': 49539596035293634, 'n': 3, 'trace_an': 0}
id: 56767978
{'hecke_orbit_code': 49539596035293634, 'n': 4, 'trace_an': 64}
id: 56767979
{'hecke_orbit_code': 49539596035293634, 'n': 5, 'trace_an': 0}
id: 56767980
{'hecke_orbit_code': 49539596035293634, 'n': 6, 'trace_an': 0}
id: 56767981
{'hecke_orbit_code': 49539596035293634, 'n': 7, 'trace_an': 1174}
id: 56767982
{'hecke_orbit_code': 49539596035293634, 'n': 8, 'trace_an': -512}
id: 56767983
{'hecke_orbit_code': 49539596035293634, 'n': 9, 'trace_an': 0}
id: 56767984
{'hecke_orbit_code': 49539596035293634, 'n': 10, 'trace_an': 0}
id: 56767985
{'hecke_orbit_code': 49539596035293634, 'n': 11, 'trace_an': 7563}
id: 56767986
{'hecke_orbit_code': 49539596035293634, 'n': 12, 'trace_an': 0}
id: 56767987
{'hecke_orbit_code': 49539596035293634, 'n': 13, 'trace_an': -5372}
id: 56767988
{'hecke_orbit_code': 49539596035293634, 'n': 14, 'trace_an': -9392}
id: 56767989
{'hecke_orbit_code': 49539596035293634, 'n': 15, 'trace_an': 0}
id: 56767990
{'hecke_orbit_code': 49539596035293634, 'n': 16, 'trace_an': 4096}
id: 56767991
{'hecke_orbit_code': 49539596035293634, 'n': 17, 'trace_an': 24021}
id: 56767992
{'hecke_orbit_code': 49539596035293634, 'n': 18, 'trace_an': 0}
id: 56767993
{'hecke_orbit_code': 49539596035293634, 'n': 19, 'trace_an': -51235}
id: 56767994
{'hecke_orbit_code': 49539596035293634, 'n': 20, 'trace_an': 0}
id: 56767995
{'hecke_orbit_code': 49539596035293634, 'n': 21, 'trace_an': 0}
id: 56767996
{'hecke_orbit_code': 49539596035293634, 'n': 22, 'trace_an': -60504}
id: 56767997
{'hecke_orbit_code': 49539596035293634, 'n': 23, 'trace_an': -57618}
id: 56767998
{'hecke_orbit_code': 49539596035293634, 'n': 24, 'trace_an': 0}
id: 56767999
{'hecke_orbit_code': 49539596035293634, 'n': 25, 'trace_an': 0}
id: 56768000
{'hecke_orbit_code': 49539596035293634, 'n': 26, 'trace_an': 42976}
id: 56768001
{'hecke_orbit_code': 49539596035293634, 'n': 27, 'trace_an': 0}
id: 56768002
{'hecke_orbit_code': 49539596035293634, 'n': 28, 'trace_an': 75136}
id: 56768003
{'hecke_orbit_code': 49539596035293634, 'n': 29, 'trace_an': -47040}
id: 56768004
{'hecke_orbit_code': 49539596035293634, 'n': 30, 'trace_an': 0}
id: 56768005
{'hecke_orbit_code': 49539596035293634, 'n': 31, 'trace_an': -192358}
id: 56768006
{'hecke_orbit_code': 49539596035293634, 'n': 32, 'trace_an': -32768}
id: 56768007
{'hecke_orbit_code': 49539596035293634, 'n': 33, 'trace_an': 0}
id: 56768008
{'hecke_orbit_code': 49539596035293634, 'n': 34, 'trace_an': -192168}
id: 56768009
{'hecke_orbit_code': 49539596035293634, 'n': 35, 'trace_an': 0}
id: 56768010
{'hecke_orbit_code': 49539596035293634, 'n': 36, 'trace_an': 0}
id: 56768011
{'hecke_orbit_code': 49539596035293634, 'n': 37, 'trace_an': -197066}
id: 56768012
{'hecke_orbit_code': 49539596035293634, 'n': 38, 'trace_an': 409880}
id: 56768013
{'hecke_orbit_code': 49539596035293634, 'n': 39, 'trace_an': 0}
id: 56768014
{'hecke_orbit_code': 49539596035293634, 'n': 40, 'trace_an': 0}
id: 56768015
{'hecke_orbit_code': 49539596035293634, 'n': 41, 'trace_an': 237723}
id: 56768016
{'hecke_orbit_code': 49539596035293634, 'n': 42, 'trace_an': 0}
id: 56768017
{'hecke_orbit_code': 49539596035293634, 'n': 43, 'trace_an': -653012}
id: 56768018
{'hecke_orbit_code': 49539596035293634, 'n': 44, 'trace_an': 484032}
id: 56768019
{'hecke_orbit_code': 49539596035293634, 'n': 45, 'trace_an': 0}
id: 56768020
{'hecke_orbit_code': 49539596035293634, 'n': 46, 'trace_an': 460944}
id: 56768021
{'hecke_orbit_code': 49539596035293634, 'n': 47, 'trace_an': -826884}
id: 56768022
{'hecke_orbit_code': 49539596035293634, 'n': 48, 'trace_an': 0}
id: 56768023
{'hecke_orbit_code': 49539596035293634, 'n': 49, 'trace_an': 554733}
id: 56768024
{'hecke_orbit_code': 49539596035293634, 'n': 50, 'trace_an': 0}
id: 56768025
{'hecke_orbit_code': 49539596035293634, 'n': 51, 'trace_an': 0}
id: 56768026
{'hecke_orbit_code': 49539596035293634, 'n': 52, 'trace_an': -343808}
id: 56768027
{'hecke_orbit_code': 49539596035293634, 'n': 53, 'trace_an': 569022}
id: 56768028
{'hecke_orbit_code': 49539596035293634, 'n': 54, 'trace_an': 0}
id: 56768029
{'hecke_orbit_code': 49539596035293634, 'n': 55, 'trace_an': 0}
id: 56768030
{'hecke_orbit_code': 49539596035293634, 'n': 56, 'trace_an': -601088}
id: 56768031
{'hecke_orbit_code': 49539596035293634, 'n': 57, 'trace_an': 0}
id: 56768032
{'hecke_orbit_code': 49539596035293634, 'n': 58, 'trace_an': 376320}
id: 56768033
{'hecke_orbit_code': 49539596035293634, 'n': 59, 'trace_an': -1501080}
id: 56768034
{'hecke_orbit_code': 49539596035293634, 'n': 60, 'trace_an': 0}
id: 56768035
{'hecke_orbit_code': 49539596035293634, 'n': 61, 'trace_an': -2068918}
id: 56768036
{'hecke_orbit_code': 49539596035293634, 'n': 62, 'trace_an': 1538864}
id: 56768037
{'hecke_orbit_code': 49539596035293634, 'n': 63, 'trace_an': 0}
id: 56768038
{'hecke_orbit_code': 49539596035293634, 'n': 64, 'trace_an': 262144}
id: 56768039
{'hecke_orbit_code': 49539596035293634, 'n': 65, 'trace_an': 0}
id: 56768040
{'hecke_orbit_code': 49539596035293634, 'n': 66, 'trace_an': 0}
id: 56768041
{'hecke_orbit_code': 49539596035293634, 'n': 67, 'trace_an': 3444349}
id: 56768042
{'hecke_orbit_code': 49539596035293634, 'n': 68, 'trace_an': 1537344}
id: 56768043
{'hecke_orbit_code': 49539596035293634, 'n': 69, 'trace_an': 0}
id: 56768044
{'hecke_orbit_code': 49539596035293634, 'n': 70, 'trace_an': 0}
id: 56768045
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Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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