LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-09-18T10:25:38.118691

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': 23276, 'analytic_conductor': 46.464948936183056, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[11, 1], [23, -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': [5819, 1, [530, 3708], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 18, 'field_disc': 7896465578868050272472236523520000, 'field_disc_factorization': [[2, 18], [3, 12], [5, 4], [563, 1], [161082868895638441, 1]], 'field_poly': [-39, -132, 468, 1554, -1902, -5508, 4387, 8236, -5548, -5930, 3649, 2248, -1295, -460, 251, 48, -25, -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, [-39, -132, 468, 1554, -1902, -5508, 4387, 8236, -5548, -5930, 3649, 2248, -1295, -460, 251, 48, -25, -2, 1]], [5, [-243, 2916, -5589, -39420, 140571, -64272, -188414, 131492, 102781, -76132, -26750, 21388, 3160, -3228, -72, 252, -16, -8, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816747195, 'hecke_ring_generator_nbound': 3, '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': '5819.2.a.o', 'level': 5819, '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': [11, 23], 'level_radical': 253, 'minimal_twist': '5819.2.a.n', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{5}q^{3}+(1+\\beta _{2})q^{4}-\\beta _{10}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 18, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5819.2.a', 'trace_display': [2, -2, 8, 10], 'trace_hash': 2032721864850322628, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.246', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.265', 'prec': 20}, {'__RealLiteral__': 0, 'data': '7.866', 'prec': 17}, {'__RealLiteral__': 0, 'data': '752.025', 'prec': 24}, {'__RealLiteral__': 0, 'data': '683.662', 'prec': 24}, {'__RealLiteral__': 0, 'data': '54022.236', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [18, 2, -2, 18, 8, -6, 10, 6, 16, 12, -18, 10, 0, 28, 8, 26, 0, -20, 16, 40, 12, -2, 0, 26, 6, -20, -14, 32, -12, 14, 0, 24, 2, 24, 2, -12, 36, -8, -10, 22, 6, -4, 20, -18, -16, 0, -36, 28, 4, 52, 44, -16, 20, -8, -8, 40, 44, 2, -32, 88, 20, 0, 2, 10, -40, 6, 0, -12, 0, 14, -28, -38, -16, 40, 16, 34, -10, -72, 40, 28, 18, 24, 32, -74, -12, -20, 46, -6, 88, 32, -32, 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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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-0.31427527888830403, -0.2100489714518204, -0.1992635339290694, -0.08073697311310349, -0.15780047337843975, -0.3578223153211391, -0.22691641196933582, -0.1327118576871299, -0.2802886654990099, -0.376398724543217, -0.43400601447746123, -0.3247824289930324, -0.25853931032253613, -0.24369220856906226, -0.25464432595585534, -0.40083227263064797, -0.09686068099887292, -0.053053881036437905, -0.1543966743787255, -0.1982754458243375, -0.24951489589655199, -0.13073494168721356, -0.3214896382005529, -0.1613998311094793, -0.05596396977752163, -0.38936853469038546, -0.22323391237553672, -0.20506746655423763, -0.397385848513617, -0.24839561664352192, -0.14929801119100902, -0.15768374347216518, -0.08449671830891538, -0.30501797357440197, -0.225163848694498, -0.3676653238675468, -0.3690548729622801, -0.17552418165047026, -0.32825247820147235, -0.34757126174367337, -0.13128254190376623, -0.3143060539337912, -0.09969418078143105, -0.07643691524161096, -0.2639950591521759, -0.31656847895255197, 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-0.29124956977280997, -0.19521719352966477, -0.26473996918155457, -0.17182895542512597, -0.17668793922125128, -0.3405450436937869, -0.2583747518376675, -0.10519442789746397, -0.3588765627921704, -0.1666985101505771, -0.3387831957166879, -0.2743052617601624, -0.1752093402301221, -0.1907253462796939, -0.2007432636176813, -0.30321919858266444, -0.20394077243285147, -0.17013459541570744, -0.15154965301434908, -0.2729027025745501, -0.3080692628876533, -0.20446646511842587, -0.20907701225595224, -0.10442539012132372, -0.22729231872174954, -0.41432659942682015, -0.2595614162585451, -0.3849853179300612, -0.06833520852080888, -0.4297150644722096, -0.14049617475106171, -0.3501388884091895, -0.3091739007869582, -0.20567049377652563, -0.11993346734145496, -0.20143398111218008, -0.10462751048625199, -0.43015509012277586, -0.3997287741629964, -0.31450214197088444, -0.1748847373836638, -0.27447256819487287, -0.34531771553209484, -0.24388878837606856, -0.22222271149265616, -0.23337671901861537, -0.2110347260337383, -0.3381995850034875, -0.3777922660202377, -0.17112636491817854, -0.4073232874712154, -0.2984380076150775, -0.13111013175303696, -0.26532667866113036, -0.09779591468752838, -0.18237872115222284, -0.33254845500559665, -0.15379874249921588, -0.309522414209432, -0.23139822426644346, -0.14582044893720636, -0.06405084735346898, -0.2712671274473552, -0.1616788589861121, -0.29789381565059786, -0.07339388004420251, -0.13504814989604116, -0.2316779971234456, -0.3260436819943668, -0.35879842024098596, -0.19564614424515914, -0.16728715227911703, -0.2096433504207568, -0.14383880447885025, -0.24275090899704224, -0.3118315546345129, -0.20159642214765447, -0.1639567876562766, -0.3957146524184774, -0.3689144285783011, -0.22352413982489958], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 13, 'dual_embedding_m': 13, 'embedding_index': 13, 'embedding_m': 13, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.1167626653673588, 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816747195, 'label': '5819.2.a.o.1.13', 'level': 5819, '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': [98, 114, 118, 92], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12], 'ALdims_old': [23, 28, 26, 30], 'Nk2': 23276, 'analytic_conductor': 46.464948936183056, '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': [5819, 1, [530, 3708], [1, 1]], 'conrey_index': 1, 'cusp_dim': 529, 'dim': 422, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33560251, 'hecke_orbit_dims': [1, 3, 3, 5, 6, 8, 8, 9, 9, 9, 9, 18, 18, 18, 18, 40, 40, 40, 40, 60, 60], 'label': '5819.2.a', 'level': 5819, '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': [11, 23], 'level_radical': 253, 'mf_dim': 576, 'mf_new_dim': 422, 'num_forms': 21, 'plus_dim': 190, 'prim_orbit_index': 1, 'relative_dim': 422, 'sturm_bound': 1104, 'trace_bound': 5, 'trace_display': [1, 1, 1, 6], 'traces': [422, 1, 1, 421, 1, -14, 6, 3, 421, 8, -2, 6, 18, 12, -11, 423, 12, 15, 0, 24, 2, -1, 0, -12, 433, -2, 7, 0, -14, 18, 5, 27, -3, -30, 14, 411, 19, -20, -28, -30, -6, -8, -2, -1, -4, 0, 16, -32, 434, -19, 10, -6, -16, -90, 1, -4, -8, -6, -13, -26, 10, -22, 24, 399, -4, -14, 7, 10, 0, -48, 7, 31, 10, -28, 48, 20, 6, -52, 14, 46, 366, -22, 18, 60, -6, 52, 0, 9, -49, 66, 16, 0, -57, -88, -20, -76, 13, -27, -11, 473, -36, -24, -32, -10, -110, 10, -14, 74, 16, -4, -9, 76, 57, 8, 0, -58, 6, -38, -40, 108, 422, -42, -12, -42, -15, 72, -52, 55, -14, -52, -14, 6, 36, -2, -5, -66, -59, 0, -18, -40, -92, 10, -18, 351, 52, -50, -11, -8, 32, -64, -54, -76, 14, 20, 21, 20, 13, -128, -58, -110, 0, 113, -32, -70, -15, -48, -80, -16, 478, 48, 56, -8, -32, 52, -44, 5, -103, -36, 3, 154, -5, -40, 116, 0, 45, -26, 0, 56, 42, -56, -37, 28, 82, -12, -28, 397, 8, 33, 28, -59, -27, -14, -4, -48, 32, -32, 0, -98, 8, 8, -44, -102, -23, 20, -34, -260, -18, 54, 8, -28, 48, 26, -27, -48, 349, -4, 26, -152, 43, 0, 14, 46, -134, -74, -56, 22, 6, 8, 6, -44, 46, 1, -8, -46, 53, -108, 20, -184, -154, 70, 3, -96, 0, -88, -98, 339, -28, 32, 42, 36, -18, -104, 10, -60, -30, 60, -49, 126, 44, 10, 8, 58, 72, 44, 5, 0, 0, 0, 98, -84, 12, -172, 76, -86, 36, -10, -92, -1, 422, 116, -167, -58, 58, -94, 3, 54, -21, 34, 0, -36, -64, -16, -46, -16, -8, 30, -152, -12, 92, 154, -28, -280, 31, -64, 64, 92, 29, -48, -26, -30, -78, 0, -56, 305, 90, -88, 90, -50, 60, 74, -91, -12, 68, -80, -73, 256, 72, -49, 65, -72, 1, -232, 96, 68, 0, -42, -52, -164, 0, 8, -172, -23, 27, -198, -117, -72, -36, -214, -60, -210, 406, 112, 1, -24, 32, 32, -59, 0, -166, 74, 36, -162, 64, 50, 31, -256, -108, 8, 5, -8, 60, -142, -67, -48, -22, 46, -168, -84, -43, 108, 0, -53, -174, -102, -26, -47, 284, 112, 348, 569, -12, -2, 320, -86, -107, -84, -1, -88, 352, -152, -95, -16, -70, 0, -86, -38, 282, -36, -128, -296, -8, 84, 96, 106, 10, 6, 332, -168, 36, -100, -42, 92, 117, 84, -92, 110, 0, -188, 288, 50, 457, 76, -5, -222, -91, 178, -214, 36, -57, 33, 10, 220, 246, -60, -32, 168, -26, 44, 38, 0, -42, -12, -21, -130, 31, 222, -29, -2, 102, 8, 81, -184, -26, 284, -64, -68, -58, -160, 192, 96, 72, 2, 0, 421, 31, -368, 285, 6, -76, -24, -48, 128, -72, 144, 20, -28, -70, 92, 44, -46, -212, -78, 18, 260, -6, 0, 283, -68, -13, 92, -16, 111, -68, -102, -212, 60, -40, -76, 106, 4, 121, -142, 52, -4, 24, 172, -46, 48, 0, 420, 26, 276, 372, 198, -70, -48, -187, 306, 2, -282, -54, 20, 207, -26, 510, -88, -92, -236, 98, -5, 20, 0, 268, 458, -73, -80, -24, -160, 28, -240, 30, 2, -12, -292, 227, -76, -2, -160, -62, -252, -64, -30, -11, 148, 0, 183, -75, 507, 224, 20, -188, 46, 24, -170, 92, -194, -52, -346, 104, -54, -26, 82, 446, 18, -128, 138, 128, 0, 44, -256, -32, -176, 142, -212, 1, 176, 134, 44, -156, 428, -368, -298, 38, -148, -76, 32, 16, 244, 5, -150, 0, -124, 74, -148, 296, 76, -16, -8, 266, -300, 121, 96, -32, 180, 128, -120, 182, -18, -22, -166, 91, -224, -33, 0, -74, -204, -49, -29, -41, 454, 62, -92, 67, -84, -26, -194, -186, -132, -38, -14, -99, -78, 168, -384, -140, -306, 0, -68, 231, -330, 34, -260, 252, 74, 188, 447, 32, 66, 38, 68, -138, 50, -60, 280, -65, 260, -77, -360, 68, 0, -13, -406, 28, -216, -18, -272, -16, 402, 148, 4, 28, -120, 308, 73, 208, -32, -28, -90, -33, -206, 344, -42, 0, -4, 8, 30, -150, -60, -11, 178, -24, -191, 152, -12, 562, -14, 57, -76, 178, -16, -28, 268, 22, -138, 177, 0, 7, 86, 202, -94, -92, 32, 16, -280, 22, 6, 196, -70, -36, -486, -49, -56, 133, 376, -42, 20, 36, 70, 0, -36, 78, -224, -144, 254, 228, 50, -176, -320, -106, -28, -174, 254, -156, 292, -208, -14, 338, -80, 224, 148, -5, 0, 100, 427, 555, -28, 40, -422, -106, -292, -114, 69, -64, -94, 26, 288, -83, -40, 8, -155, -32, 250, -54, -114, 0, -24, -210, -106, 38, -284, -18, 68, -220, -8, -52, 380, 272, 102, 68, 32, -112, -82, -135, -156, -96, -40, 48, 0, -187, -200, 66, -78, 100, -320, -72, 92, -107, -128, 69, -88, 326, 374, 34, -140, -133, -316, 6, -286, 76, -62, 0, -238, 352, -408, -96, 44, -102, -48, 347, -404, -64, -16, 88, -844, -50, -240, -197, -16, 26, 116, 176, 38, -56, 0, -206, 0, -162, -72, -44, 26, -75, -481, -180, -12, -183, -130, 138, 52, -64, 550, -26, -66, -208, 72, -233, -176, 0, 68, -36, -55, -128, 18, 260, -126, 45, 140, 208, -140, -154, -96, -164, -292, -26, -166, -224, -68, -184, 108, -134, 0, -200, -206, -136, 8, -82, -50, -80, 194, 520, 98, 24, -214, 48, -54, 2, 74, 218, -280, 43, -40, -112, 10, 0, 16, -130, 40, -145, -104, 328, -128, -319, 300, 0, -26, -109, 48, 84, 16, -182, 92, 357, 136, -236, 238, -120, 0, 68, 3, -68, 642, 13, 348, 64, 98, -488, 46, 37, -208, 7, 172, -302, -160, -123, -444, 186, 172, 100, 112, 0, -138, -92, -604, -73, -224, -116, -312, 88, 68, -55, 176], '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: 47797634
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 18, 'source_embedding_index': 13, 'source_hecke_orbit_code': 63050394816747195, 'source_is_minimal': True, 'source_label': '5819.2.a.o.1.13', 'source_level': 5819, 'target_conrey_index': 1, 'target_dim': 18, 'target_embedding_index': 13, 'target_hecke_orbit_code': 63050394816747195, 'target_is_minimal': True, 'target_label': '5819.2.a.o.1.13', 'target_level': 5819, 'twist_class_label': '5819.2.a.n.1.13', 'twist_class_level': 5819, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 47797635
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 18, 'source_embedding_index': 13, 'source_hecke_orbit_code': 63050394816747195, 'source_is_minimal': True, 'source_label': '5819.2.a.o.1.13', 'source_level': 5819, 'target_conrey_index': 1, 'target_dim': 18, 'target_embedding_index': 13, 'target_hecke_orbit_code': 58546795189376699, 'target_is_minimal': True, 'target_label': '5819.2.a.n.1.13', 'target_level': 5819, 'twist_class_label': '5819.2.a.n.1.13', 'twist_class_level': 5819, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 4009300
{'charpoly_factorization': [[[-39, -132, 468, 1554, -1902, -5508, 4387, 8236, -5548, -5930, 3649, 2248, -1295, -460, 251, 48, -25, -2, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 2}
id: 4009301
{'charpoly_factorization': [[[25, 750, 3905, -6290, -18394, 17724, 31239, -21720, -25984, 13090, 11796, -4162, -3037, 706, 439, -60, -33, 2, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 3}
id: 4009302
{'charpoly_factorization': [[[-243, 2916, -5589, -39420, 140571, -64272, -188414, 131492, 102781, -76132, -26750, 21388, 3160, -3228, -72, 252, -16, -8, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 5}
id: 4009303
{'charpoly_factorization': [[[-8667, -15228, 209169, 600246, -27450, -994560, -263486, 670386, 205218, -240204, -60667, 50234, 7715, -6120, -293, 392, -15, -10, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 7}
id: 4009304
{'charpoly_factorization': [[[1, 1], 18]], 'hecke_orbit_code': 63050394816747195, 'p': 11}
id: 4009305
{'charpoly_factorization': [[[-311351, 5219822, -6483929, -135760396, -23612297, 184796864, 87029099, -48228112, -28912308, 5062904, 3820342, -251884, -248779, 5888, 8491, -52, -146, 0, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 13}
id: 4009306
{'charpoly_factorization': [[[45192249, -646801200, 966946005, 1896272226, -1571199993, -774518946, 633562249, 122215910, -110865510, -9014760, 9887898, 338546, -481154, -6296, 12909, 46, -179, 0, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 17}
id: 4009307
{'charpoly_factorization': [[[-36715059, -1585619064, -6386843466, -3981051504, 5090704497, 2366873712, -2088436553, -182733210, 320583222, -20897070, -21101047, 3142688, 587969, -138858, -4106, 2522, -81, -16, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 19}
id: 4009308
{'charpoly_factorization': [[[0, 1], 18]], 'hecke_orbit_code': 63050394816747195, 'p': 23}
id: 4009309
{'charpoly_factorization': [[[2658438969, 9726036246, -18664589295, -7600223388, 14793536022, 3464069412, -4215124139, -1068462388, 474012724, 147048034, -19908368, -8833902, 129405, 241868, 9771, -2876, -195, 12, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 29}
id: 4009310
{'charpoly_factorization': [[[-5687471, -86003198, -406755521, -596105812, 101663187, 865700404, 473796127, -164554240, -144989696, 14423228, 15657781, -648534, -795268, 13628, 20031, -96, -234, 0, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 31}
id: 4009311
{'charpoly_factorization': [[[84602266425, 168290816400, -313522045335, -581573570220, 74273973192, 134017327752, -14527448093, -12986810068, 1753304107, 630668716, -113092720, -14184632, 3806769, 48448, -61070, 3160, 313, -36, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 37}
id: 4009312
{'charpoly_factorization': [[[-126115167, 2613764184, -5012563590, -8967585570, 10538897601, 17688462036, 3666147487, -3751650660, -1667708010, 65975158, 116715141, 5183274, -3514339, -188304, 53502, 1904, -381, -6, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 41}
id: 4009313
{'charpoly_factorization': [[[-125075909943, 1307634266304, -1151985776193, -291981649932, 465208661007, -19508136288, -63012530357, 7747835862, 3991864839, -669259284, -126893296, 27144430, 1802774, -565716, -2300, 5662, -177, -20, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 43}
id: 4009314
{'charpoly_factorization': [[[-5628431405091, -7205304494820, 13978943380920, 3996606885894, -4531630330782, -1415903947752, 396611285353, 189060126492, 3661103069, -7447057178, -947165930, 68679514, 20591430, 653478, -136339, -11084, 102, 36, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 47}
id: 4009315
{'charpoly_factorization': [[[474802013493, -388981817460, -361085857776, 281889973476, 116670549258, -75963488040, -20226968906, 9708138400, 1851496861, -658765880, -82806886, 25882492, 1603757, -577940, -4015, 6280, -206, -20, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 53}
id: 4009316
{'charpoly_factorization': [[[25792384473, -69864143544, -35575161768, 125602609014, 60820359462, -37828628820, -20370687569, 3731336466, 2553435457, -98363216, -147445862, -4735100, 4060179, 309946, -47368, -5558, 112, 32, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 59}
id: 4009317
{'charpoly_factorization': [[[-1293783970167, -565805368422, 5294165704587, 2892948931062, -1368030509100, -871594749606, 96353295787, 83622178146, -3508599415, -3755526512, 102241750, 89396816, -2559207, -1155500, 40591, 7624, -326, -20, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 61}
id: 4009318
{'charpoly_factorization': [[[155705952790341, -208628605549224, -20601882472914, 85750336884312, -7150121052147, -10617616284744, 1519548341281, 525333912096, -96209954058, -10649391568, 2448719909, 101330604, -31091442, -454360, 210154, 776, -724, 0, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 67}
id: 4009319
{'charpoly_factorization': [[[-796840076019, -202456990140, 6614854262316, -5180748140514, -798457810806, 1342597578636, -29151243815, -130347945744, 6835935777, 6023206610, -284073950, -146973770, 4058766, 1931206, -3847, -12584, -274, 28, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 71}
id: 4009320
{'charpoly_factorization': [[[-79133622023867, -467511646557658, -225208120199465, 157628138915676, 127284448007202, 16640693555186, -5864303907485, -1448682396054, 73399723523, 39250574778, 472597098, -510498994, -19046917, 3473630, 174472, -11864, -685, 16, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 73}
id: 4009321
{'charpoly_factorization': [[[-1942639513294743, 4256849825772102, -3836572634261151, 1788659734283064, -416965635937575, 18414033577614, 14221846036915, -3131661263494, 74450259819, 54248655210, -6273674976, -166749978, 70105762, -2727710, -251912, 21208, -15, -40, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 79}
id: 4009322
{'charpoly_factorization': [[[32516046374733, -24499140137334, -93464401253031, -29392567759386, 19222298490582, 5998904009940, -2102524614029, -365475471162, 132952448245, 3269279450, -3497229708, 167540834, 33653725, -3091802, -91779, 17640, -234, -32, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 83}
id: 4009323
{'charpoly_factorization': [[[-162708037958079, 66579995939796, 248227138003545, -221180591705400, 30263605621074, 29691368599092, -13094065745591, 1336286411764, 328899092364, -103315281916, 8381028275, 608679696, -174853785, 13022380, -130496, -42168, 3005, -88, 1], 1]], 'hecke_orbit_code': 63050394816747195, 'p': 89}
id: 4009324
{'charpoly_factorization': [[[-1402400530661679, 992635811763660, 298802886626196, -249272138210472, -18506206829790, 23019860833776, -253263765110, -1028829860760, 65827528269, 23090075216, -2508393550, -228295868, 40503125, 220616, -288571, 10964, 626, -52, 1], 1]], 'hecke_orbit_code': 63050394816747195, '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': 15, 'label': '5819.2.a.o', 'level': 5819, 'portrait': 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', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 59727235
{'hecke_orbit_code': 63050394816747195, 'n': 1, 'trace_an': 18}
id: 59727236
{'hecke_orbit_code': 63050394816747195, 'n': 2, 'trace_an': 2}
id: 59727237
{'hecke_orbit_code': 63050394816747195, 'n': 3, 'trace_an': -2}
id: 59727238
{'hecke_orbit_code': 63050394816747195, 'n': 4, 'trace_an': 18}
id: 59727239
{'hecke_orbit_code': 63050394816747195, 'n': 5, 'trace_an': 8}
id: 59727240
{'hecke_orbit_code': 63050394816747195, 'n': 6, 'trace_an': -6}
id: 59727241
{'hecke_orbit_code': 63050394816747195, 'n': 7, 'trace_an': 10}
id: 59727242
{'hecke_orbit_code': 63050394816747195, 'n': 8, 'trace_an': 6}
id: 59727243
{'hecke_orbit_code': 63050394816747195, 'n': 9, 'trace_an': 16}
id: 59727244
{'hecke_orbit_code': 63050394816747195, 'n': 10, 'trace_an': 12}
id: 59727245
{'hecke_orbit_code': 63050394816747195, 'n': 11, 'trace_an': -18}
id: 59727246
{'hecke_orbit_code': 63050394816747195, 'n': 12, 'trace_an': 10}
id: 59727247
{'hecke_orbit_code': 63050394816747195, 'n': 13, 'trace_an': 0}
id: 59727248
{'hecke_orbit_code': 63050394816747195, 'n': 14, 'trace_an': 28}
id: 59727249
{'hecke_orbit_code': 63050394816747195, 'n': 15, 'trace_an': 8}
id: 59727250
{'hecke_orbit_code': 63050394816747195, 'n': 16, 'trace_an': 26}
id: 59727251
{'hecke_orbit_code': 63050394816747195, 'n': 17, 'trace_an': 0}
id: 59727252
{'hecke_orbit_code': 63050394816747195, 'n': 18, 'trace_an': -20}
id: 59727253
{'hecke_orbit_code': 63050394816747195, 'n': 19, 'trace_an': 16}
id: 59727254
{'hecke_orbit_code': 63050394816747195, 'n': 20, 'trace_an': 40}
id: 59727255
{'hecke_orbit_code': 63050394816747195, 'n': 21, 'trace_an': 12}
id: 59727256
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{'hecke_orbit_code': 63050394816747195, 'n': 829, 'trace_an': -272}
id: 59727468
{'hecke_orbit_code': 63050394816747195, 'n': 839, 'trace_an': 32}
id: 59727469
{'hecke_orbit_code': 63050394816747195, 'n': 841, 'trace_an': 12}
id: 59727470
{'hecke_orbit_code': 63050394816747195, 'n': 853, 'trace_an': -42}
id: 59727471
{'hecke_orbit_code': 63050394816747195, 'n': 857, 'trace_an': -56}
id: 59727472
{'hecke_orbit_code': 63050394816747195, 'n': 859, 'trace_an': -64}
id: 59727473
{'hecke_orbit_code': 63050394816747195, 'n': 863, 'trace_an': 50}
id: 59727474
{'hecke_orbit_code': 63050394816747195, 'n': 877, 'trace_an': -50}
id: 59727475
{'hecke_orbit_code': 63050394816747195, 'n': 881, 'trace_an': -4}
id: 59727476
{'hecke_orbit_code': 63050394816747195, 'n': 883, 'trace_an': 42}
id: 59727477
{'hecke_orbit_code': 63050394816747195, 'n': 887, 'trace_an': -16}
id: 59727478
{'hecke_orbit_code': 63050394816747195, 'n': 907, 'trace_an': 44}
id: 59727479
{'hecke_orbit_code': 63050394816747195, 'n': 911, 'trace_an': -136}
id: 59727480
{'hecke_orbit_code': 63050394816747195, 'n': 919, 'trace_an': 98}
id: 59727481
{'hecke_orbit_code': 63050394816747195, 'n': 929, 'trace_an': 0}
id: 59727482
{'hecke_orbit_code': 63050394816747195, 'n': 937, 'trace_an': -8}
id: 59727483
{'hecke_orbit_code': 63050394816747195, 'n': 941, 'trace_an': 58}
id: 59727484
{'hecke_orbit_code': 63050394816747195, 'n': 947, 'trace_an': 28}
id: 59727485
{'hecke_orbit_code': 63050394816747195, 'n': 953, 'trace_an': 8}
id: 59727486
{'hecke_orbit_code': 63050394816747195, 'n': 961, 'trace_an': -90}
id: 59727487
{'hecke_orbit_code': 63050394816747195, 'n': 967, 'trace_an': 10}
id: 59727488
{'hecke_orbit_code': 63050394816747195, 'n': 971, 'trace_an': 44}
id: 59727489
{'hecke_orbit_code': 63050394816747195, 'n': 977, 'trace_an': 92}
id: 59727490
{'hecke_orbit_code': 63050394816747195, 'n': 983, 'trace_an': -172}
id: 59727491
{'hecke_orbit_code': 63050394816747195, 'n': 991, 'trace_an': -60}
id: 59727492
{'hecke_orbit_code': 63050394816747195, 'n': 997, 'trace_an': -2}

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.