LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-10-04T18:54:00.741497

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': 24276, 'analytic_conductor': 48.461208986715064, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, 1], [17, -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': [6069, 1, [2024, 4336, 3760], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 657762931377, 'field_disc_factorization': [[3, 12], [829, 1], [1493, 1]], 'field_poly': [3, 0, -39, -53, 21, 45, -3, -12, 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': [[2, [3, 0, -39, -53, 21, 45, -3, -12, 0, 1]], [5, [73, -333, 456, -60, -261, 93, 49, -18, -3, 1]], [11, [9, 504, -306, -1187, 888, 171, -335, 120, -18, 1]], [23, [3961, -38205, 84156, -37764, -7506, 5262, 106, -138, 0, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717822901, 'hecke_ring_generator_nbound': 2, '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': True, 'label': '6069.2.a.z', 'level': 6069, '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, 7, 17], 'level_radical': 357, 'minimal_twist': '6069.2.a.z', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(1-\\beta _{3}+\\beta _{5}+\\beta _{6}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6069.2.a', 'trace_display': [0, -9, 3, -9], 'trace_hash': 1363374682946828097, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.157', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.451', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.114', 'prec': 17}, {'__RealLiteral__': 0, 'data': '198.499', 'prec': 24}, {'__RealLiteral__': 0, 'data': '66.047', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7066.529', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [9, 0, -9, 6, 3, 0, -9, 9, 9, 12, 18, -6, -21, 0, -3, 0, 0, 0, -9, 15, 9, 6, 0, -9, 0, 3, -9, -6, 6, -12, 30, 3, -18, 0, -3, 6, 12, -36, 21, 30, 9, 0, 0, 30, 3, 33, -9, 0, 9, -12, 0, -12, 0, 0, 30, -9, 9, 9, -3, -15, 33, -12, -9, -15, -15, -6, -15, 0, 0, -12, 0, 9, 21, 6, 0, 3, -18, -3, 30, 0, 9, 9, 0, 6, 0, 72, -6, 48, -12, 12, 21, 48, -30, 48, -18, -3, 0, 0, 18, 0, -48, 0, -24, -48, 3, 24, 24, -6, 3, 21, -12, 0, -39, 36, -42, 42, -21, -51, 0, -30, -15, 30, -9, 51, 12, 0, -6, 48, 0, -21, 45, 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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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-0.22136086175433672, -0.07474534674320714, -0.37242629448159126, -0.2191524064305348, -0.30757368054342077, -0.17816565773396517, -0.19832879405089543, -0.17068143266386773, -0.1503839836777677, -0.2681520636376606, -0.32921883484360864, -0.13932267307042231, -0.36972396412282726, -0.1979341887122548, -0.17812015631075215, -0.060328154090788455, -0.389096873244308, -0.20963010904380572, -0.2754645626218097, -0.16473293529747812, -0.2268735909772825, -0.16729967890164749, -0.4075281826473162, -0.18563643126892254, -0.3928818772796265, -0.25458733294967767, -0.42780470360946066, -0.0881044607384479, -0.274397731487955, -0.41450272255182086, -0.3434393404445013, -0.23694051977643477, -0.3419363797155638, -0.25203655836604194, -0.21852419755674082, -0.19603766243886378, -0.16787691678200822, -0.07565846854399538, -0.3140107585302332, -0.18848221003352314, -0.2874119560410359, -0.24724588741358416, -0.2332970150115502, -0.28115889859586596, -0.34515664936722124, -0.1628028592625102, -0.15976368586018305, -0.35388374763238273, -0.2460532989702206, -0.0711398056180654, -0.2631628729236413, -0.2192221672241365, -0.27133615802385247, -0.2414373123808476, -0.1983885810141255, -0.27406088615432384, -0.39137811580431237, -0.3543386474816329, -0.3456817621790415, -0.17619042796756476, -0.30039124049201416, -0.23778687731903, -0.3459154797859284, -0.25738557732398243, -0.2808625868848924, -0.35706238592860845, -0.3630107753151308, -0.2481497465261717, -0.16791603085074655, -0.28665733538922294, -0.23137269370837424, -0.38015910097024713, -0.3846890221620139, -0.368278456531288, -0.23287537780211565, -0.25352911138304984, -0.2557771559887316, -0.3413969368616037, -0.3824075879377866, -0.4065316445357736, -0.2068139942184238, -0.35639860793414013, -0.12403400387401363, -0.061220332158722204, -0.28838471579344904, -0.24870419849943629, -0.34522814657781964, -0.46986658359906075, -0.23972363911084546, -0.2579476268755897, -0.25924784332167183, -0.30109360693935183, -0.03361453793776807, -0.3261221960542019, -0.3184288392179121, -0.3458410198710864, -0.4581070844835487, -0.3692342204966409, -0.10232733821654028, -0.23560921451771352, -0.29150645075474957, -0.1648199159801478, -0.12875097201170238, -0.1487996128097626, -0.23034958790561413, -0.1337476545570562, -0.08053663497785875, -0.2580962234581639, -0.2597518211531227, -0.12470362596205904, -0.10937336168540146, -0.19019569180984264, -0.15662022022895059, -0.3711134176352737, -0.2603730763338818, -0.25341326474289805, -0.21543430672663982, -0.16718978251838745, -0.30868497891441876, -0.2885570688138202, -0.275523637387057, -0.1772383322008482, -0.22766242287788904, -0.22584341163300445, -0.12340411652856935, -0.10159358659526514, -0.2825270681959369, -0.18481701612295479, -0.29613540177011793, -0.2606078991488052, -0.3541559156356195, -0.20258702477319035, -0.3248843319332916, -0.11426522609394965, -0.2371789215978127, -0.22933489015044645, -0.1984524410524301, -0.2736010110185052, -0.23899968630896365, -0.23339821011188103, -0.2760468460321765, -0.10867203826928595, -0.24530390306290445, -0.33061828795801135, -0.2546541373415064, -0.07514132701831405, -0.22707692793773362, -0.26249006940808806, -0.2636546936123812, -0.21977036643301878, -0.42274992624646845, -0.31331952905641336, -0.2615960750841334, -0.34039097951992214, -0.34423983771396227, -0.042030564534424206, -0.2966496374822702, -0.3705033317286489], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 6, 'dual_embedding_m': 6, 'embedding_index': 6, 'embedding_m': 6, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.2447635839049985, 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717822901, 'label': '6069.2.a.z.1.6', 'level': 6069, 'weight': 2}

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': [33, 36, 31, 36, 40, 28, 24, 44], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [58, 68, 68, 61, 65, 63, 72, 54], 'Nk2': 24276, 'analytic_conductor': 48.461208986715064, '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': [6069, 1, [2024, 4336, 3760], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 781, 'dim': 272, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11, 23], 'hecke_orbit_code': 33560501, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 9, 9, 9, 9, 10, 10, 15, 15, 15, 15, 16, 16, 24, 24], 'label': '6069.2.a', 'level': 6069, '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, 7, 17], 'level_radical': 357, 'mf_dim': 852, 'mf_new_dim': 272, 'num_forms': 39, 'plus_dim': 121, 'prim_orbit_index': 1, 'relative_dim': 272, 'sturm_bound': 1632, 'trace_bound': 7, 'trace_display': [0, 0, 8, -2], 'traces': [272, 0, 0, 276, 8, 4, -2, 0, 272, 0, 0, -8, 16, -2, 8, 276, 0, 0, 16, 0, 2, -32, -8, 12, 296, -16, 0, -6, 8, 0, 16, 0, 8, 0, -4, 276, 8, 32, 0, 8, 16, 2, -8, 40, 8, 8, -8, 0, 272, -8, 0, 80, -24, 4, -8, -18, 8, 16, -8, 16, 24, -8, -2, 284, 32, 8, 32, 0, 16, -4, -8, 0, 16, 8, 0, 0, 0, -32, 0, 40, 272, 8, -32, 6, 0, 0, 8, -72, 40, 0, -4, 24, 16, 32, -72, 28, -8, 0, 0, 372, 16, 0, 16, -56, -4, 8, 8, -8, 24, 8, 16, 2, -32, -8, -24, -32, 16, -24, 0, -16, 296, 96, -8, -24, 24, -2, 8, 56, 32, -16, 32, 48, 0, -56, 8, 0, -40, -8, -48, 12, -8, 56, -56, 276, 16, -88, 0, 16, -16, 28, 32, 32, 0, -16, 56, 64, -48, 24, 16, 32, -8, 0, 16, 96, -32, 8, 8, -6, 304, 0, 16, 104, 24, -56, -14, 64, -8, -16, -64, 0, 24, 28, 16, 40, 56, 24, 0, -24, 2, -56, 0, -8, -40, -40, 8, 276, 32, -32, -8, 88, 16, 88, 20, 0, 64, 104, -8, 64, -48, 12, 8, -32, 32, -8, -32, 12, 24, -88, 32, 80, 0, -16, -8, -58, 296, 8, -40, 8, 40, 16, -16, 40, -56, -16, -64, 8, -16, 0, -8, 24, 112, 192, 0, 24, 8, 0, 40, 0, 8, -40, 80, -6, 32, -8, 0, 244, 40, -72, 20, -40, 8, -64, 56, -56, 56, -8, 16, 8, 112, 0, 56, 0, -4, -32, -24, -16, -24, -176, 16, 36, 120, -16, 88, 48, 24, 88, -12, 0, 0, -360, 16, -32, -448, 4, 96, -16, 8, -488, 32, 8, -8, 40, -32, 32, -488, 0, -24, -16, -24, 96, -32, 0, -40, -408, -4, -120, -16, 24, 96, 8, 0, 24, 0, 276, -552, -48, 80, -24, 24, 16, -40, -32, 8, -8, 56, 30, 24, -456, -24, 0, 96, 32, -2, -24, 32, -112, 120, 16, 104, 34, 0, -16, -632, -16, 120, 120, 0, -56, 32, 8, 320, 56, -16, -28, 24, -16, 64, 160, 16, -360, -12, 112, 0, 0, 24, 72, 72, 2, 24, -56, -32, 232, 120, 116, 0, 40, -8, 128, -416, 32, 0, 0, 0, 184, -32, 40, 24, -56, 24, 508, 32, -40, -80, 48, 8, -12, 128, 0, 160, -448, 32, 96, -32, 8, -56, -224, 96, -112, -56, 20, 104, 24, -8, 88, 0, -8, -12, -168, 56, 64, 16, 0, -488, 64, -32, -64, -120, 40, -24, 232, 272, 0, 80, 16, -176, -72, -8, 74, 120, -8, -16, -104, 16, -104, 56, -16, 32, -632, 0, 104, 120, 24, 184, 32, -32, 80, 80, 80, -56, 120, 0, -160, -80, 144, 112, 0, -24, 72, 8, 48, 56, 24, -16, 452, -552, 4, -80, -152, 32, 0, -104, -8, 0, -80, -8, -64, -24, -16, -64, -200, 48, -72, -96, -18, 104, -500, -32, -476, 160, 0, 4, -428, 8, -520, -48, 80, 88, -544, 40, 8, 48, 16, -8, -40, 14, -436, 0, 160, 424, -24, -8, 24, 56, -40, -72, -572, -48, 40, 0, 16, -40, 160, 64, 0, -440, 28, 32, -508, 24, 120, -40, -72, 0, 16, -16, -80, 80, -8, -144, 44, 0, -468, 24, 24, 200, -232, -2, 160, -48, 96, 0, -88, -32, 68, -40, 284, -56, 0, -16, 56, -72, 80, 72, -40, 32, 40, -168, -8, -40, 24, -8, -136, -96, 8, 0, -404, 32, 192, 32, -68, 88, 72, 32, 88, 8, -72, 104, 280, -4, 152, 56, 0, -440, 136, -112, -468, 40, 0, -80, 376, 16, 80, 44, 144, 288, -32, -40, -56, 0, -4, 88, -32, -48, 72, -8, 88, 16, -340, -8, -16, -40, 104, 16, -8, -16, 0, 192, 0, 56, -232, -16, 96, 40, 24, 176, 232, 16, 56, 144, 16, 72, -356, 0, 152, 0, 8, 72, 40, -40, -24, 128, -30, -136, 200, 0, 404, -16, -56, 20, 0, 56, 80, -80, 0, 56, -2, 0, -252, -472, 88, 136, 144, 0, -104, 136, 56, 0, 344, 8, -10, 32, -32, -96, 32, -16, 248, 60, 8, -64, 16, 0, 408, 32, 0, 24, -588, 56, 208, 192, 40, 32, 272, -16, 16, 16, -4, 64, 68, 272, -496, 0, 0, 8, 16, 8, 0, -168, 8, 16, 208, 112, -60, 24, 40, -56, -292, -32, 0, -64, 160, 0, 88, 88, -56, -152, 6, 72, 128, -16, 120, -24, 48, 20, 184, 0, 256, 72, 16, 160, 24, 24, -160, -504, 0, 168, -200, 28, -372, 128, 56, 184, 0, 8, 276, -72, 144, -128, 152, -24, 200, 60, -72, -88, 112, -16, 104, 264, -24, 0, 200, 40, -40, 152, 48, -24, 56, 24, 304, -128, 0, -48, -520, 24, 208, 72, 0, -80, -320, -4, 200, 8, -72, 88, 320, 248, -32, 16, 24, 144, -64, 80, 464, 0, -16, 296, 264, 16, -232, 72, -20, 512, 272, 104, -104, -32, 32, -10, -644, 0, 0, 0, 64, -80, 28, -72, -216, -72, 128, 104, -296, -44, 32, 112, 28, -376, 240, 0, -64, 80, 104, 88, -128, -8, 24, 24, -16, -24, 88, -120, 496, -40, 0, 0, 0, 80, -428, 72, -40, -48, -64, 0, 168, -48, -56, -56, -34, 96, -16, 320, 372, 0, 336, 24, -64, -80, 72, 16, 72, 16, 8, 192, -88, -104, -408, -56, 72, 32, 0, 336, 336, -40, 128, -40, 0, 0, -548, 16, 168, -176, -192, 16, -88, 80, 64, 0, -56, 72, -72, 128, -40, -72, 136, 128, -80, -4, 128, -152, 16, 32, 24, 144, 0, -48, 8, 168, 448, 16, -8, 28, 88, 248, -24, 8, -96, -376, -32, 120, -52, 0, 208, 0, -8, -48, 112, -16, 32, 128, -72, 32, 0, 24, 272, 152, -160, 112, 0, 32, 392, -152, 8, -72, -176, 96, 72, 272, -128, 112, 216, 16, -88], 'weight': 2, '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: 48574222
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 6, 'source_hecke_orbit_code': 112589990717822901, 'source_is_minimal': True, 'source_label': '6069.2.a.z.1.6', 'source_level': 6069, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 6, 'target_hecke_orbit_code': 112589990717822901, 'target_is_minimal': True, 'target_label': '6069.2.a.z.1.6', 'target_level': 6069, 'twist_class_label': '6069.2.a.z.1.6', 'twist_class_level': 6069, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 48574223
{'conductor': 17, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 6, 'source_hecke_orbit_code': 112589990717822901, 'source_is_minimal': True, 'source_label': '6069.2.a.z.1.6', 'source_level': 6069, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 6, 'target_hecke_orbit_code': 126100789599934389, 'target_is_minimal': True, 'target_label': '6069.2.a.bc.1.6', 'target_level': 6069, 'twist_class_label': '6069.2.a.z.1.6', 'twist_class_level': 6069, 'twisting_char_label': '17.16', 'twisting_conrey_index': 16, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 4080400
{'charpoly_factorization': [[[3, 0, -39, -53, 21, 45, -3, -12, 0, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 2}
id: 4080401
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 112589990717822901, 'p': 3}
id: 4080402
{'charpoly_factorization': [[[73, -333, 456, -60, -261, 93, 49, -18, -3, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 5}
id: 4080403
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 112589990717822901, 'p': 7}
id: 4080404
{'charpoly_factorization': [[[9, 504, -306, -1187, 888, 171, -335, 120, -18, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 11}
id: 4080405
{'charpoly_factorization': [[[-321, -216, 2049, -827, -1488, 162, 477, 159, 21, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 13}
id: 4080406
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 112589990717822901, 'p': 17}
id: 4080407
{'charpoly_factorization': [[[-29103, -86193, -52878, 6746, 9537, 429, -527, -48, 9, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 19}
id: 4080408
{'charpoly_factorization': [[[3961, -38205, 84156, -37764, -7506, 5262, 106, -138, 0, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 23}
id: 4080409
{'charpoly_factorization': [[[-7989, -46026, -29181, 104072, -50895, 4761, 1141, -159, -6, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 29}
id: 4080410
{'charpoly_factorization': [[[1619, 6336, -6702, -17456, 7971, 1692, -1534, 330, -30, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 31}
id: 4080411
{'charpoly_factorization': [[[5381, -8514, -8478, 15875, -1035, -3252, 937, -36, -12, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 37}
id: 4080412
{'charpoly_factorization': [[[-31971, -41229, 71148, -8846, -11739, 1929, 615, -78, -9, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 41}
id: 4080413
{'charpoly_factorization': [[[15984369, 10451016, -652707, -801080, 6786, 21891, -18, -249, 0, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 43}
id: 4080414
{'charpoly_factorization': [[[-10232559, 6555528, -51624, -577054, 51198, 16095, -1312, -201, 9, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 47}
id: 4080415
{'charpoly_factorization': [[[-804383, 13941513, -853182, -1221801, 38376, 33606, -267, -324, 0, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 53}
id: 4080416
{'charpoly_factorization': [[[1436957, 760548, -1383243, -422178, 97905, 21792, -1227, -285, 3, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 59}
id: 4080417
{'charpoly_factorization': [[[203625, 136125, -348120, 34363, 76359, -24069, 1186, 276, -33, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 61}
id: 4080418
{'charpoly_factorization': [[[36527541, -3280059, -4909236, -11257, 192543, 7179, -2918, -162, 15, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 67}
id: 4080419
{'charpoly_factorization': [[[61071, 90567, 10146, -28760, -5952, 3288, 476, -156, 0, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 71}
id: 4080420
{'charpoly_factorization': [[[1478193, -1260576, -59118, 246970, -38022, -7890, 1872, 12, -21, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 73}
id: 4080421
{'charpoly_factorization': [[[17, 339, -1812, 795, 2877, -1992, -489, 267, -30, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 79}
id: 4080422
{'charpoly_factorization': [[[604251, -2556549, 2880567, -399099, -144207, 27552, 1199, -342, 0, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 83}
id: 4080423
{'charpoly_factorization': [[[8233703, -37192380, -8431992, 2391685, 731742, 24783, -6201, -402, 12, 1], 1]], 'hecke_orbit_code': 112589990717822901, 'p': 89}
id: 4080424
{'charpoly_factorization': [[[-635977, -4178457, 5552040, -797273, -265953, 51798, 1128, -438, 0, 1], 1]], 'hecke_orbit_code': 112589990717822901, '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': 26, 'label': '6069.2.a.z', 'level': 6069, 'portrait': 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', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 66873319
{'hecke_orbit_code': 112589990717822901, 'n': 1, 'trace_an': 9}
id: 66873320
{'hecke_orbit_code': 112589990717822901, 'n': 2, 'trace_an': 0}
id: 66873321
{'hecke_orbit_code': 112589990717822901, 'n': 3, 'trace_an': -9}
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{'hecke_orbit_code': 112589990717822901, 'n': 727, 'trace_an': 27}
id: 66873535
{'hecke_orbit_code': 112589990717822901, 'n': 729, 'trace_an': 9}
id: 66873536
{'hecke_orbit_code': 112589990717822901, 'n': 733, 'trace_an': 42}
id: 66873537
{'hecke_orbit_code': 112589990717822901, 'n': 739, 'trace_an': 39}
id: 66873538
{'hecke_orbit_code': 112589990717822901, 'n': 743, 'trace_an': 45}
id: 66873539
{'hecke_orbit_code': 112589990717822901, 'n': 751, 'trace_an': -45}
id: 66873540
{'hecke_orbit_code': 112589990717822901, 'n': 757, 'trace_an': -141}
id: 66873541
{'hecke_orbit_code': 112589990717822901, 'n': 761, 'trace_an': -36}
id: 66873542
{'hecke_orbit_code': 112589990717822901, 'n': 769, 'trace_an': 75}
id: 66873543
{'hecke_orbit_code': 112589990717822901, 'n': 773, 'trace_an': -165}
id: 66873544
{'hecke_orbit_code': 112589990717822901, 'n': 787, 'trace_an': 33}
id: 66873545
{'hecke_orbit_code': 112589990717822901, 'n': 797, 'trace_an': -12}
id: 66873546
{'hecke_orbit_code': 112589990717822901, 'n': 809, 'trace_an': -27}
id: 66873547
{'hecke_orbit_code': 112589990717822901, 'n': 811, 'trace_an': 81}
id: 66873548
{'hecke_orbit_code': 112589990717822901, 'n': 821, 'trace_an': 27}
id: 66873549
{'hecke_orbit_code': 112589990717822901, 'n': 823, 'trace_an': 15}
id: 66873550
{'hecke_orbit_code': 112589990717822901, 'n': 827, 'trace_an': 24}
id: 66873551
{'hecke_orbit_code': 112589990717822901, 'n': 829, 'trace_an': -12}
id: 66873552
{'hecke_orbit_code': 112589990717822901, 'n': 839, 'trace_an': 111}
id: 66873553
{'hecke_orbit_code': 112589990717822901, 'n': 841, 'trace_an': 93}
id: 66873554
{'hecke_orbit_code': 112589990717822901, 'n': 853, 'trace_an': -48}
id: 66873555
{'hecke_orbit_code': 112589990717822901, 'n': 857, 'trace_an': -63}
id: 66873556
{'hecke_orbit_code': 112589990717822901, 'n': 859, 'trace_an': 3}
id: 66873557
{'hecke_orbit_code': 112589990717822901, 'n': 863, 'trace_an': 123}
id: 66873558
{'hecke_orbit_code': 112589990717822901, 'n': 877, 'trace_an': -54}
id: 66873559
{'hecke_orbit_code': 112589990717822901, 'n': 881, 'trace_an': 39}
id: 66873560
{'hecke_orbit_code': 112589990717822901, 'n': 883, 'trace_an': -3}
id: 66873561
{'hecke_orbit_code': 112589990717822901, 'n': 887, 'trace_an': 18}
id: 66873562
{'hecke_orbit_code': 112589990717822901, 'n': 907, 'trace_an': 33}
id: 66873563
{'hecke_orbit_code': 112589990717822901, 'n': 911, 'trace_an': 51}
id: 66873564
{'hecke_orbit_code': 112589990717822901, 'n': 919, 'trace_an': 15}
id: 66873565
{'hecke_orbit_code': 112589990717822901, 'n': 929, 'trace_an': -69}
id: 66873566
{'hecke_orbit_code': 112589990717822901, 'n': 937, 'trace_an': 57}
id: 66873567
{'hecke_orbit_code': 112589990717822901, 'n': 941, 'trace_an': -36}
id: 66873568
{'hecke_orbit_code': 112589990717822901, 'n': 947, 'trace_an': 51}
id: 66873569
{'hecke_orbit_code': 112589990717822901, 'n': 953, 'trace_an': 105}
id: 66873570
{'hecke_orbit_code': 112589990717822901, 'n': 961, 'trace_an': -39}
id: 66873571
{'hecke_orbit_code': 112589990717822901, 'n': 967, 'trace_an': 33}
id: 66873572
{'hecke_orbit_code': 112589990717822901, 'n': 971, 'trace_an': -30}
id: 66873573
{'hecke_orbit_code': 112589990717822901, 'n': 977, 'trace_an': -27}
id: 66873574
{'hecke_orbit_code': 112589990717822901, 'n': 983, 'trace_an': 36}
id: 66873575
{'hecke_orbit_code': 112589990717822901, 'n': 991, 'trace_an': -30}
id: 66873576
{'hecke_orbit_code': 112589990717822901, 'n': 997, 'trace_an': -111}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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