LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-09-10T21:53:42.707052

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': 5184, 'analytic_conductor': 10.348612101957938, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1296, 1, [1135, 325, 1217], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [1, 4, 1]], [7, [-12, 0, 1]], [11, [-2, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562001680, 'hecke_ring_generator_nbound': 5, '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': '1296.2.a.m', 'level': 1296, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '648.2.a.e', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-2+\\beta )q^{5}+2\\beta q^{7}+2q^{11}+(1+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1296.2.a', 'trace_display': [0, 0, -4, 0], 'trace_hash': 2017913383973464643, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.907', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.250', 'prec': 10}, {'__RealLiteral__': 0, 'data': '9.187', 'prec': 14}, {'__RealLiteral__': 0, 'data': '2.321', 'prec': 14}, {'__RealLiteral__': 0, 'data': '62.331', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.037', 'prec': 7}, 'traces': [2, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, -8, 0, 8, 0, 0, 0, 4, 0, 4, 0, 0, 0, -12, 0, 8, 0, 0, 0, 12, 0, 6, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 10, 0, 0, 0, 8, 0, -8, 0, 0, 0, 16, 0, 14, 0, 0, 0, 8, 0, 8, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 10, 0, 0, 0, 0, 0, 24, 0, 0, 0, -28, 0, 4, 0, 0, 0, 24, 0, -8, 0, 0, 0, -24, 0, 2, 0, 0, 0, 0, 0, 16, 0, 0, 0, -12, 0, -14, 0, 0, 0, -12, 0, -8, 0, 0, 0, -28, 0, -24, 0, 0, 0, -24, 0, 24, 0, 0, 0, 4, 0, 18, 0, 0, 0, 28, 0, -16, 0, 0, 0, -40, 0, -10, 0, 0, 0, 48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 12, 0, -48, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -16, 0, 0, 0, 12, 0, 22, 0, 0, 0, -12, 0, -8, 0, 0, 0, -12, 0, 24, 0, 0, 0, 16, 0, 16, 0, 0, 0, -20, 0, -48, 0, 0, 0, -20, 0, -8, 0, 0, 0, 12, 0, 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0, -48, 0, 48, 0, 0, 0, 24, 0, 32, 0, 0, 0, 124, 0, -2, 0, 0, 0, 44, 0, -144, 0, 0, 0, -4, 0, -166, 0, 0, 0, 48, 0, -80, 0, 0, 0, -48, 0, -6, 0, 0, 0, 20, 0, -48, 0, 0, 0, 48, 0, -16, 0, 0, 0, -24, 0, 96, 0, 0, 0, -72, 0, 88, 0, 0, 0, 4, 0, -64, 0, 0, 0, 80, 0, 32, 0, 0, 0, -72, 0, -32, 0, 0, 0, -64, 0, -48, 0, 0, 0, 136, 0, 0, 0, 0, 0, -80, 0, 100, 0, 0, 0, -64, 0, -48, 0, 0, 0, -88, 0, -144, 0, 0, 0, -96, 0, -104, 0, 0, 0, -16, 0, -42, 0, 0, 0, -304, 0, -72, 0, 0, 0, 156, 0, 38, 0, 0, 0, 4, 0, 8, 0, 0, 0, -8, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, -46, 0, 0, 0, -80, 0, 32, 0, 0, 0, 24, 0, 70, 0, 0, 0, 0, 0, 72, 0, 0, 0, -56, 0], 'weight': 2, 'weight_parity': 1}

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], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.1198305217584325, 0.0], [0.0, 0.0], [1.3093073414159544, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.6030226891555273, 0.0], [0.0, 0.0], [1.2381190209431374, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.390226525353735, 0.0], [0.0, 0.0], [0.12294352124322078, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.86165906514338, 0.0], [0.0, 0.0], [-0.9856406460551018, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.4358057895136496, 0.0], [0.0, 0.0], [-0.5259208255694107, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.15689498186401993, 0.0], [0.0, 0.0], [1.0626917593675713, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.0820035616009187, 0.0], [0.0, 0.0], [1.7482591064562116, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0105823052798228, 0.0], [0.0, 0.0], [0.7142857142857143, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.40221964706701685, 0.0], [0.0, 0.0], [-0.07226052347367988, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.0415112878465909, 0.0], [0.0, 0.0], [0.4527253969575281, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.14836444827865578, 0.0], [0.0, 0.0], [0.9118851469403798, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.23735633163877068, 0.0], [0.0, 0.0], [0.11704114719613057, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.7895420339517227, 0.0], [0.0, 0.0], [-0.8397770418473881, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.1995261405881348, 0.0], [0.0, 0.0], [0.16659156989555074, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.5507910552258941, 0.0], [0.0, 0.0], [1.6210783236675834, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.014732386297394076, 0.0], [0.0, 0.0], [1.6099741492520419, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], 'angles': [None, None, -0.2595415245081167, -0.13640723708574748, -0.20125444273946583, -0.143756979368952, -0.372322898522018, -0.24021029330219182, -0.05954306857590218, -0.37744891629201593, -0.2923494315178072, -0.16084323424047628, -0.1590226097933031, -0.0807163184908428, -0.3343074489732213, -0.282227405529629, -0.16282513261916898, -0.213658270343916, -0.17465111811702813, -0.2689328386618284, -0.24068083711200783, -0.31896541541935475, -0.14763074808469015, -0.2944044066831346, -0.10108609148012164, -0.14817518623754986, -0.22695956040679002, -0.4338768881350821, -0.2688255942904657, -0.2629805510433794, -0.30372099905288913, -0.4336106584893901, -0.27278387901585527, -0.10168878126264905, -0.166204121201117, -0.3538977312344572, -0.35526459351881373, -0.25, -0.12738291513058278, -0.22406356417493908, -0.20831684528125657, -0.38210477294234885, -0.2958697637481987, -0.2265919922307433, -0.3374535929383526, -0.2726406742097889, -0.3019800886262377, -0.2902016040942108, -0.0757426241645249, -0.3293022721399154, -0.28291069939728386, -0.26509536939951933, -0.37480949216149323, -0.19889758315957884, -0.30601304090403575, -0.3144833190822095, -0.11565009362238082, -0.37625744459214805, -0.31908831698484436, -0.14753204430044142, -0.29731868717842425, -0.3387948482353554, -0.22688410147402494, -0.30525225992935856, -0.3338157622990643, -0.2691216371286916, -0.10853578818540717, -0.3409436908622555, -0.20197649542459706, -0.27566924960518263, -0.3961460891983549, -0.1250648017499229, -0.2880447147044672, -0.29167838870860985, -0.3209343248023393, -0.17394647576930022, -0.3037576438172278, -0.15981186268337064, -0.222830353540102, -0.24184421581977897, -0.25721946712372135, -0.3196563417784069, -0.3009726047170254, -0.30373062620668534, -0.20377660788138052, -0.3076966112625065, -0.2012277055099595, -0.3451794521204745, -0.3139126591929423, -0.0601285596971167, -0.30921790053763787, -0.30899547249134135, -0.3292152724949777, -0.3093416034514407, -0.1586895272271173, -0.2565887536896877, -0.28118430930719485, -0.29517584961906906, -0.1427748736089023, -0.296476889419056], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.7320508075688772, 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562001680, 'label': '1296.2.a.m.1.2', 'level': 1296, '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': [5, 7, 6, 4], 'ALdims_eis_new': [0, 0, 2, 2], 'ALdims_eis_old': [17, 18, 16, 16], 'ALdims_old': [38, 41, 42, 38], 'Nk2': 5184, 'analytic_conductor': 10.348612101957938, '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': [1296, 1, [1135, 325, 1217], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 181, 'dim': 22, 'eis_dim': 71, 'eis_new_dim': 4, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33555728, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2], 'label': '1296.2.a', 'level': 1296, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 252, 'mf_new_dim': 26, 'num_forms': 17, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 22, 'sturm_bound': 432, 'trace_bound': 11, 'trace_display': [0, 0, 0, -2], 'traces': [22, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 126, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -58, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -138, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 82, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 146, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, -158, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, -158, 0, 0, 0, 0, 0, -122, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -218, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 142, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 270, 0, 0, 0, 0, 0, 106, 0, 0, 0, 0, 0, 166, 0, 0, 0, 0, 0, -46, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 154, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, -158, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, -258, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, -98, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -158, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 300, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 390, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -318, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 274, 0, 0, 0, 0, 0, -38, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 134, 0, 0, 0], '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: 47465336
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001680, 'target_is_minimal': False, 'target_label': '1296.2.a.m.1.2', 'target_level': 1296, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 47465337
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071483664, 'target_is_minimal': False, 'target_label': '1296.2.a.q.1.1', 'target_level': 1296, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 47465338
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543037064, 'target_is_minimal': True, 'target_label': '648.2.a.e.1.2', 'target_level': 648, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 47465339
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780284195904, 'target_is_minimal': False, 'target_label': '5184.2.a.cb.1.1', 'target_level': 5184, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 47465340
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 229683581029454912, 'target_is_minimal': False, 'target_label': '5184.2.a.bz.1.1', 'target_level': 5184, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 47465341
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561743454668048, 'target_is_minimal': False, 'target_label': '1296.2.i.r.433.2', 'target_level': 1296, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 47465342
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568942709409040, 'target_is_minimal': False, 'target_label': '1296.2.i.t.865.1', 'target_level': 1296, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
id: 47465343
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 865, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561743454668048, 'target_is_minimal': False, 'target_label': '1296.2.i.r.865.2', 'target_level': 1296, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 47465344
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568942709409040, 'target_is_minimal': False, 'target_label': '1296.2.i.t.433.1', 'target_level': 1296, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
id: 47465345
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148552, 'target_is_minimal': True, 'target_label': '648.2.a.h.1.1', 'target_level': 648, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 47465346
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 153122387364156480, 'target_is_minimal': False, 'target_label': '5184.2.a.bi.1.2', 'target_level': 5184, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 47465347
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188109415488, 'target_is_minimal': False, 'target_label': '5184.2.a.bg.1.2', 'target_level': 5184, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 47465348
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532946435703432, 'target_is_minimal': False, 'target_label': '648.2.i.j.433.1', 'target_level': 648, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
id: 47465349
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029346808332936, 'target_is_minimal': False, 'target_label': '648.2.i.i.433.2', 'target_level': 648, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 47465350
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 217, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029346808332936, 'target_is_minimal': False, 'target_label': '648.2.i.i.217.2', 'target_level': 648, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
id: 47465351
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 54043195562001680, 'source_is_minimal': False, 'source_label': '1296.2.a.m.1.2', 'source_level': 1296, 'target_conrey_index': 217, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532946435703432, 'target_is_minimal': False, 'target_label': '648.2.i.j.217.1', 'target_level': 648, 'twist_class_label': '648.2.a.e.1.2', 'twist_class_level': 648, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 1836425
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043195562001680, 'p': 2}
id: 1836426
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043195562001680, 'p': 3}
id: 1836427
{'charpoly_factorization': [[[1, 4, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 5}
id: 1836428
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 7}
id: 1836429
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 54043195562001680, 'p': 11}
id: 1836430
{'charpoly_factorization': [[[-11, -2, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 13}
id: 1836431
{'charpoly_factorization': [[[13, 8, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 17}
id: 1836432
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 19}
id: 1836433
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 23}
id: 1836434
{'charpoly_factorization': [[[33, 12, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 29}
id: 1836435
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 31}
id: 1836436
{'charpoly_factorization': [[[-3, -6, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 37}
id: 1836437
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 41}
id: 1836438
{'charpoly_factorization': [[[52, -16, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 43}
id: 1836439
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 47}
id: 1836440
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 53}
id: 1836441
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 54043195562001680, 'p': 59}
id: 1836442
{'charpoly_factorization': [[[37, -14, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 61}
id: 1836443
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 67}
id: 1836444
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 54043195562001680, 'p': 71}
id: 1836445
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 54043195562001680, 'p': 73}
id: 1836446
{'charpoly_factorization': [[[4, 8, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 79}
id: 1836447
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 83}
id: 1836448
{'charpoly_factorization': [[[-27, 0, 1], 1]], 'hecke_orbit_code': 54043195562001680, 'p': 89}
id: 1836449
{'charpoly_factorization': [[[-188, -4, 1], 1]], 'hecke_orbit_code': 54043195562001680, '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': 13, 'label': '1296.2.a.m', 'level': 1296, 'portrait': 'data:image/png;base64,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', 'weight': 2}

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: 57060547
{'hecke_orbit_code': 54043195562001680, 'n': 1, 'trace_an': 2}
id: 57060548
{'hecke_orbit_code': 54043195562001680, 'n': 2, 'trace_an': 0}
id: 57060549
{'hecke_orbit_code': 54043195562001680, 'n': 3, 'trace_an': 0}
id: 57060550
{'hecke_orbit_code': 54043195562001680, 'n': 4, 'trace_an': 0}
id: 57060551
{'hecke_orbit_code': 54043195562001680, 'n': 5, 'trace_an': -4}
id: 57060552
{'hecke_orbit_code': 54043195562001680, 'n': 6, 'trace_an': 0}
id: 57060553
{'hecke_orbit_code': 54043195562001680, 'n': 7, 'trace_an': 0}
id: 57060554
{'hecke_orbit_code': 54043195562001680, 'n': 8, 'trace_an': 0}
id: 57060555
{'hecke_orbit_code': 54043195562001680, 'n': 9, 'trace_an': 0}
id: 57060556
{'hecke_orbit_code': 54043195562001680, 'n': 10, 'trace_an': 0}
id: 57060557
{'hecke_orbit_code': 54043195562001680, 'n': 11, 'trace_an': 4}
id: 57060558
{'hecke_orbit_code': 54043195562001680, 'n': 12, 'trace_an': 0}
id: 57060559
{'hecke_orbit_code': 54043195562001680, 'n': 13, 'trace_an': 2}
id: 57060560
{'hecke_orbit_code': 54043195562001680, 'n': 14, 'trace_an': 0}
id: 57060561
{'hecke_orbit_code': 54043195562001680, 'n': 15, 'trace_an': 0}
id: 57060562
{'hecke_orbit_code': 54043195562001680, 'n': 16, 'trace_an': 0}
id: 57060563
{'hecke_orbit_code': 54043195562001680, 'n': 17, 'trace_an': -8}
id: 57060564
{'hecke_orbit_code': 54043195562001680, 'n': 18, 'trace_an': 0}
id: 57060565
{'hecke_orbit_code': 54043195562001680, 'n': 19, 'trace_an': 8}
id: 57060566
{'hecke_orbit_code': 54043195562001680, 'n': 20, 'trace_an': 0}
id: 57060567
{'hecke_orbit_code': 54043195562001680, 'n': 21, 'trace_an': 0}
id: 57060568
{'hecke_orbit_code': 54043195562001680, 'n': 22, 'trace_an': 0}
id: 57060569
{'hecke_orbit_code': 54043195562001680, 'n': 23, 'trace_an': 4}
id: 57060570
{'hecke_orbit_code': 54043195562001680, 'n': 24, 'trace_an': 0}
id: 57060571
{'hecke_orbit_code': 54043195562001680, 'n': 25, 'trace_an': 4}
id: 57060572
{'hecke_orbit_code': 54043195562001680, 'n': 26, 'trace_an': 0}
id: 57060573
{'hecke_orbit_code': 54043195562001680, 'n': 27, 'trace_an': 0}
id: 57060574
{'hecke_orbit_code': 54043195562001680, 'n': 28, 'trace_an': 0}
id: 57060575
{'hecke_orbit_code': 54043195562001680, 'n': 29, 'trace_an': -12}
id: 57060576
{'hecke_orbit_code': 54043195562001680, 'n': 30, 'trace_an': 0}
id: 57060577
{'hecke_orbit_code': 54043195562001680, 'n': 31, 'trace_an': 8}
id: 57060578
{'hecke_orbit_code': 54043195562001680, 'n': 32, 'trace_an': 0}
id: 57060579
{'hecke_orbit_code': 54043195562001680, 'n': 33, 'trace_an': 0}
id: 57060580
{'hecke_orbit_code': 54043195562001680, 'n': 34, 'trace_an': 0}
id: 57060581
{'hecke_orbit_code': 54043195562001680, 'n': 35, 'trace_an': 12}
id: 57060582
{'hecke_orbit_code': 54043195562001680, 'n': 36, 'trace_an': 0}
id: 57060583
{'hecke_orbit_code': 54043195562001680, 'n': 37, 'trace_an': 6}
id: 57060584
{'hecke_orbit_code': 54043195562001680, 'n': 38, 'trace_an': 0}
id: 57060585
{'hecke_orbit_code': 54043195562001680, 'n': 39, 'trace_an': 0}
id: 57060586
{'hecke_orbit_code': 54043195562001680, 'n': 40, 'trace_an': 0}
id: 57060587
{'hecke_orbit_code': 54043195562001680, 'n': 41, 'trace_an': 0}
id: 57060588
{'hecke_orbit_code': 54043195562001680, 'n': 42, 'trace_an': 0}
id: 57060589
{'hecke_orbit_code': 54043195562001680, 'n': 43, 'trace_an': 16}
id: 57060590
{'hecke_orbit_code': 54043195562001680, 'n': 44, 'trace_an': 0}
id: 57060591
{'hecke_orbit_code': 54043195562001680, 'n': 45, 'trace_an': 0}
id: 57060592
{'hecke_orbit_code': 54043195562001680, 'n': 46, 'trace_an': 0}
id: 57060593
{'hecke_orbit_code': 54043195562001680, 'n': 47, 'trace_an': 0}
id: 57060594
{'hecke_orbit_code': 54043195562001680, 'n': 48, 'trace_an': 0}
id: 57060595
{'hecke_orbit_code': 54043195562001680, 'n': 49, 'trace_an': 10}
id: 57060596
{'hecke_orbit_code': 54043195562001680, 'n': 50, 'trace_an': 0}
id: 57060597
{'hecke_orbit_code': 54043195562001680, 'n': 51, 'trace_an': 0}
id: 57060598
{'hecke_orbit_code': 54043195562001680, 'n': 52, 'trace_an': 0}
id: 57060599
{'hecke_orbit_code': 54043195562001680, 'n': 53, 'trace_an': 8}
id: 57060600
{'hecke_orbit_code': 54043195562001680, 'n': 54, 'trace_an': 0}
id: 57060601
{'hecke_orbit_code': 54043195562001680, 'n': 55, 'trace_an': -8}
id: 57060602
{'hecke_orbit_code': 54043195562001680, 'n': 56, 'trace_an': 0}
id: 57060603
{'hecke_orbit_code': 54043195562001680, 'n': 57, 'trace_an': 0}
id: 57060604
{'hecke_orbit_code': 54043195562001680, 'n': 58, 'trace_an': 0}
id: 57060605
{'hecke_orbit_code': 54043195562001680, 'n': 59, 'trace_an': 16}
id: 57060606
{'hecke_orbit_code': 54043195562001680, 'n': 60, 'trace_an': 0}
id: 57060607
{'hecke_orbit_code': 54043195562001680, 'n': 61, 'trace_an': 14}
id: 57060608
{'hecke_orbit_code': 54043195562001680, 'n': 62, 'trace_an': 0}
id: 57060609
{'hecke_orbit_code': 54043195562001680, 'n': 63, 'trace_an': 0}
id: 57060610
{'hecke_orbit_code': 54043195562001680, 'n': 64, 'trace_an': 0}
id: 57060611
{'hecke_orbit_code': 54043195562001680, 'n': 65, 'trace_an': 8}
id: 57060612
{'hecke_orbit_code': 54043195562001680, 'n': 66, 'trace_an': 0}
id: 57060613
{'hecke_orbit_code': 54043195562001680, 'n': 67, 'trace_an': 8}
id: 57060614
{'hecke_orbit_code': 54043195562001680, 'n': 68, 'trace_an': 0}
id: 57060615
{'hecke_orbit_code': 54043195562001680, 'n': 69, 'trace_an': 0}
id: 57060616
{'hecke_orbit_code': 54043195562001680, 'n': 70, 'trace_an': 0}
id: 57060617
{'hecke_orbit_code': 54043195562001680, 'n': 71, 'trace_an': -4}
id: 57060618
{'hecke_orbit_code': 54043195562001680, 'n': 72, 'trace_an': 0}
id: 57060619
{'hecke_orbit_code': 54043195562001680, 'n': 73, 'trace_an': 2}
id: 57060620
{'hecke_orbit_code': 54043195562001680, 'n': 74, 'trace_an': 0}
id: 57060621
{'hecke_orbit_code': 54043195562001680, 'n': 75, 'trace_an': 0}
id: 57060622
{'hecke_orbit_code': 54043195562001680, 'n': 76, 'trace_an': 0}
id: 57060623
{'hecke_orbit_code': 54043195562001680, 'n': 77, 'trace_an': 0}
id: 57060624
{'hecke_orbit_code': 54043195562001680, 'n': 78, 'trace_an': 0}
id: 57060625
{'hecke_orbit_code': 54043195562001680, 'n': 79, 'trace_an': -8}
id: 57060626
{'hecke_orbit_code': 54043195562001680, 'n': 80, 'trace_an': 0}
id: 57060627
{'hecke_orbit_code': 54043195562001680, 'n': 81, 'trace_an': 0}
id: 57060628
{'hecke_orbit_code': 54043195562001680, 'n': 82, 'trace_an': 0}
id: 57060629
{'hecke_orbit_code': 54043195562001680, 'n': 83, 'trace_an': 8}
id: 57060630
{'hecke_orbit_code': 54043195562001680, 'n': 84, 'trace_an': 0}
id: 57060631
{'hecke_orbit_code': 54043195562001680, 'n': 85, 'trace_an': 10}
id: 57060632
{'hecke_orbit_code': 54043195562001680, 'n': 86, 'trace_an': 0}
id: 57060633
{'hecke_orbit_code': 54043195562001680, 'n': 87, 'trace_an': 0}
id: 57060634
{'hecke_orbit_code': 54043195562001680, 'n': 88, 'trace_an': 0}
id: 57060635
{'hecke_orbit_code': 54043195562001680, 'n': 89, 'trace_an': 0}
id: 57060636
{'hecke_orbit_code': 54043195562001680, 'n': 90, 'trace_an': 0}
id: 57060637
{'hecke_orbit_code': 54043195562001680, 'n': 91, 'trace_an': 24}
id: 57060638
{'hecke_orbit_code': 54043195562001680, 'n': 92, 'trace_an': 0}
id: 57060639
{'hecke_orbit_code': 54043195562001680, 'n': 93, 'trace_an': 0}
id: 57060640
{'hecke_orbit_code': 54043195562001680, 'n': 94, 'trace_an': 0}
id: 57060641
{'hecke_orbit_code': 54043195562001680, 'n': 95, 'trace_an': -28}
id: 57060642
{'hecke_orbit_code': 54043195562001680, 'n': 96, 'trace_an': 0}
id: 57060643
{'hecke_orbit_code': 54043195562001680, 'n': 97, 'trace_an': 4}
id: 57060644
{'hecke_orbit_code': 54043195562001680, 'n': 98, 'trace_an': 0}
id: 57060645
{'hecke_orbit_code': 54043195562001680, 'n': 99, 'trace_an': 0}
id: 57060646
{'hecke_orbit_code': 54043195562001680, 'n': 100, 'trace_an': 0}

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.