LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-10-23T18:46:42.264913

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': 4352, 'analytic_conductor': 8.687723739915306, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [17, -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': [1088, 1, [511, 69, 513], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4, -2, 1]], [5, [2, 1]], [7, [-4, -2, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224448, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '1088.2.a.s', 'level': 1088, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 17], 'level_radical': 34, 'minimal_twist': '136.2.a.c', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{3}-2q^{5}+(1+\\beta )q^{7}+(3+2\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1088.2.a', 'trace_display': [0, 2, -4, 2], 'trace_hash': 1245418746888678247, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 7}, {'__RealLiteral__': 0, 'data': '1.918', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.209', 'prec': 10}, {'__RealLiteral__': 0, 'data': '9.264', 'prec': 14}, {'__RealLiteral__': 0, 'data': '1.126', 'prec': 14}, {'__RealLiteral__': 0, 'data': '64.855', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 7}, 'traces': [2, 0, 2, 0, -4, 0, 2, 0, 6, 0, -2, 0, 0, 0, -4, 0, 2, 0, 4, 0, 12, 0, 2, 0, -2, 0, 20, 0, -4, 0, -2, 0, -12, 0, -4, 0, 4, 0, 20, 0, 4, 0, 12, 0, -12, 0, 8, 0, -2, 0, 2, 0, 4, 0, 4, 0, -16, 0, -20, 0, 4, 0, 26, 0, 0, 0, 24, 0, 12, 0, 14, 0, 12, 0, -2, 0, -12, 0, 10, 0, 22, 0, -12, 0, -4, 0, -4, 0, -24, 0, 20, 0, -12, 0, -8, 0, 4, 0, -26, 0, 0, 0, -16, 0, -24, 0, -6, 0, -20, 0, -36, 0, 12, 0, -4, 0, 40, 0, 2, 0, -10, 0, 4, 0, 24, 0, -4, 0, 32, 0, 2, 0, -16, 0, -40, 0, -24, 0, 18, 0, -32, 0, -20, 0, 8, 0, 18, 0, -12, 0, 20, 0, 6, 0, 4, 0, -12, 0, 4, 0, 12, 0, 22, 0, 24, 0, -26, 0, 14, 0, -28, 0, -4, 0, -2, 0, 0, 0, -20, 0, -20, 0, 44, 0, -8, 0, -2, 0, 40, 0, -8, 0, 12, 0, -40, 0, 4, 0, 22, 0, 24, 0, -4, 0, -8, 0, 26, 0, 16, 0, -2, 0, 4, 0, -24, 0, 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0, 22, 0, 120, 0, 60, 0, -36, 0, 40, 0, -4, 0, 54, 0, -108, 0, -118, 0, 0, 0, -64, 0, -12, 0, 36, 0, -132, 0, 6, 0, -56, 0, -64, 0, 40, 0, 58, 0, 0, 0, 48, 0, -84, 0, 100, 0, -60, 0, 36, 0, 24, 0, 48, 0, 184, 0, 4, 0, -120, 0, 32, 0, 256, 0, -4, 0, 68, 0, 40, 0, 0, 0, 16, 0, -12, 0, 84, 0, 20, 0, -120, 0, -60, 0, -18, 0, 12, 0, -20, 0, 12, 0, 112, 0, -48, 0, -20, 0, -184, 0, 48, 0, -52, 0, 192, 0, 8, 0, 16, 0, 32, 0, 44, 0, 40, 0, 232, 0, 40, 0, -56, 0, 120, 0, 22, 0, -160, 0, 36, 0, -44, 0, -84, 0, -160, 0, 10, 0, 32, 0, 4, 0, 84, 0, -90, 0, 16, 0, -80, 0, 24, 0, -122, 0, -8, 0, 116, 0, 24, 0, 4, 0, -98, 0, 52, 0, -8, 0, -8, 0, 220, 0, 66, 0, -40, 0, -180, 0, -12, 0, -100, 0, 24, 0, -24, 0, 4, 0, -164, 0, 24, 0, -26, 0, 172, 0, -64, 0, -72, 0, 40, 0, 56, 0, 82, 0, -172, 0, 4, 0, 4, 0, -76, 0, 12, 0, -12, 0, -64, 0, -144, 0, 0, 0, 52, 0, 14, 0, 24, 0, -184, 0, -22, 0, 144, 0, -30, 0, 16, 0, -42, 0, -120, 0, 60, 0, -56, 0, 56, 0, 116, 0, 40, 0, 24, 0, -136, 0, 64, 0, -28, 0, 52, 0, 28, 0, -48, 0, 8, 0, -20, 0, 128, 0, -24, 0, 140, 0, -40, 0, 102, 0, 0, 0, 68, 0, 36, 0, 40, 0, 184, 0, -92, 0, -4, 0, -200, 0, -32, 0, 132, 0, -28, 0, -20, 0, -76, 0, -88, 0, 84, 0, -60, 0, -96, 0, 82, 0, 24, 0, 112, 0, 28, 0, -48, 0, 20, 0, -2, 0, -40, 0, 76, 0, -80, 0, 136, 0, 56, 0, 32, 0, 76, 0, -116, 0, 24, 0, -80, 0, -196, 0, 82, 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], [1.8683447179254313, 0.0], [0.0, 0.0], [-0.8944271909999159, 0.0], [0.0, 0.0], [1.2231187277377438, 0.0], [0.0, 0.0], [2.49071198499986, 0.0], [0.0, 0.0], [-0.9757112070410057, 0.0], [0.0, 0.0], [1.2403473458920846, 0.0], [0.0, 0.0], [-1.6710983178735739, 0.0], [0.0, 0.0], [0.24253562503633297, 0.0], [0.0, 0.0], [-0.5671468843440306, 0.0], [0.0, 0.0], [2.2852074143644874, 0.0], [0.0, 0.0], [0.6747668181772316, 0.0], [0.0, 0.0], [-0.2, 0.0], [0.0, 0.0], [2.785163863122623, 0.0], [0.0, 0.0], [-0.3713906763541037, 0.0], [0.0, 0.0], [-0.5812149664780243, 0.0], [0.0, 0.0], [-1.82296487989571, 0.0], [0.0, 0.0], [-1.0939906479098611, 0.0], [0.0, 0.0], [-1.1416312695769009, 0.0], [0.0, 0.0], [2.317396412090304, 0.0], [0.0, 0.0], [0.31234752377721214, 0.0], [0.0, 0.0], [1.5969857614661014, 0.0], [0.0, 0.0], [-2.2277605243332492, 0.0], [0.0, 0.0], [-0.7211961801153062, 0.0], [0.0, 0.0], [0.49601942214279704, 0.0], [0.0, 0.0], [0.4531401539453757, 0.0], [0.0, 0.0], [0.27472112789737807, 0.0], [0.0, 0.0], [0.872702634140824, 0.0], [0.0, 0.0], [-1.059625885652035, 0.0], [0.0, 0.0], [-0.7196666000686567, 0.0], [0.0, 0.0], [1.4012704284935285, 0.0], [0.0, 0.0], [3.046436474254179, 0.0], [0.0, 0.0], [-1.1094003924504583, 0.0], [0.0, 0.0], [1.4660333322756627, 0.0], [0.0, 0.0], [1.2606970205727808, 0.0], [0.0, 0.0], [0.5653747145185597, 0.0], [0.0, 0.0], [-0.34460096200364404, 0.0], [0.0, 0.0], [-0.3736689435850863, 0.0], [0.0, 0.0], [-1.1934106501954533, 0.0], [0.0, 0.0], [-0.19218795767692945, 0.0], [0.0, 0.0], [2.712934207222082, 0.0], [0.0, 0.0], [-1.149466253611958, 0.0], [0.0, 0.0], [-0.21693045781865616, 0.0], [0.0, 0.0], [-0.6938858084529431, 0.0], [0.0, 0.0], [-1.7460429191476092, 0.0], [0.0, 0.0], [1.5170920676604138, 0.0], [0.0, 0.0], [-1.0859099125984235, 0.0], [0.0, 0.0], [0.5072715946481854, 0.0], [0.0, 0.0], [0.2030692330267238, 0.0], [0.0, 0.0], [-2.4302155972757125, 0.0], [0.0, 0.0]], 'angles': [None, -0.058069881799692497, -0.32379180882521663, -0.14527127575282286, -0.3311103716741472, -0.1435310608292892, None, -0.29575998672590154, -0.1952290634373443, -0.27972687449917594, -0.2969286907015465, -0.3466864501429558, -0.22504200852309533, -0.10281549134617445, -0.30871369810818833, -0.22806904970820613, -0.3085832187891771, -0.12645002897021299, -0.11905585666627515, -0.20438705480440406, -0.2775600025014547, -0.26531746742131274, -0.3474470695698151, -0.4189213163882, -0.23381236841058103, -0.3663159207916912, -0.3144773114342988, -0.3277403208714013, -0.329484560221779, -0.27211194224120483, -0.29635467341757604, -0.06293383774735714, -0.37422490982848966, -0.17094981932284423, -0.2895203273269752, -0.1497879033137684, -0.4511458668346049, -0.25112406581107904, -0.2891374391555185, -0.2621120140277114, -0.28311765697902846, -0.31060342350653003, -0.2213767138611594, -0.26689684194632685, -0.18625935787398132, -0.2510173217966596, -0.2677651451729171, -0.16948932724189475, -0.2671251031562468, -0.16425682916531295, -0.18633735605364962, -0.34819195370893646, -0.35444620220132905, -0.29554514704850793, -0.12716774785852838, -0.19275375492480576, -0.15200904242242796, -0.1585824154101275, -0.4736890934850603, -0.32857989930157183, -0.265331563534746, -0.20282247579227253, -0.08741635535748721, -0.3418089669397201, -0.10551261083314198, -0.34431644133897193, -0.20353802668370882, -0.3627508930046093, -0.22959288404500505, -0.27566924960518263, -0.35965029790903547, -0.14896834358377667, -0.16628832600167207, -0.2645563740958589, -0.24449073292516865, -0.23609043755226222, -0.1385678517524845, -0.3915095303146367, -0.19715188713656603, -0.2736965711387448, -0.1653417059037444, -0.05779261472443338, -0.29505083943710175, -0.32773327013131126, -0.11941463490410094, -0.23485378893005376, -0.1356863543524347, -0.21018895385228684, -0.23556815027371708, -0.33901019222766277, -0.45244027661447306, -0.11010723782091324, -0.03219737680890167, -0.28796747680975954, -0.19239487877969796, -0.19839033473486384, -0.24294326923469395, -0.20806894556692443, -0.2253498911877288, -0.1384494277505211], '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': 1.618033988749895, 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224448, 'label': '1088.2.a.s.1.2', 'level': 1088, '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': [6, 10, 10, 6], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6], 'ALdims_old': [23, 26, 28, 24], 'Nk2': 4352, 'analytic_conductor': 8.687723739915306, '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': [1088, 1, [511, 69, 513], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 133, 'dim': 32, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33555520, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '1088.2.a', 'level': 1088, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 17], 'level_radical': 34, 'mf_dim': 156, 'mf_new_dim': 32, 'num_forms': 22, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 288, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 112, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -96, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, -64, 0, 0, 0, -80, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -144, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, 80, 0, 0, 0, 64, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, 160, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, -208, 0, 0, 0, 128, 0, 0, 0, 32, 0, 0, 0, -160, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 96, 0, 0, 0, 288, 0, 0, 0, 64, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, 288, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, -160, 0, 0, 0, 320, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, 176, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -144, 0, 0, 0, 192, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -80, 0, 0, 0, -96, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -240, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 128, 0, 0, 0, 160, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, -80, 0, 0, 0, -32, 0, 0, 0, 144, 0, 0, 0, -32, 0, 0, 0, -112, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 192, 0, 0, 0, -256, 0, 0, 0, -128, 0, 0, 0, -208, 0, 0, 0, 160, 0, 0, 0, 240, 0, 0, 0, 32, 0, 0, 0, -384, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, -192, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, 192, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, -544, 0, 0, 0, -96, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, -208, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -368, 0, 0, 0, -32, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, -112, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, -256, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, 208, 0, 0, 0, -96, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, -128, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, -16, 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: 48170152
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326224448, 'target_is_minimal': False, 'target_label': '1088.2.a.s.1.2', 'target_level': 1088, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 48170153
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 355784370595833408, 'target_is_minimal': False, 'target_label': '9792.2.a.db.1.2', 'target_level': 9792, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 48170154
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816742464, 'target_is_minimal': False, 'target_label': '1088.2.a.o.1.1', 'target_level': 1088, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48170155
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170407184, 'target_is_minimal': False, 'target_label': '272.2.a.f.1.2', 'target_level': 272, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48170156
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295560, 'target_is_minimal': True, 'target_label': '136.2.a.c.1.1', 'target_level': 136, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 48170157
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 351280770968462912, 'target_is_minimal': False, 'target_label': '9792.2.a.da.1.1', 'target_level': 9792, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 48170158
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052519624, 'target_is_minimal': False, 'target_label': '1224.2.a.i.1.2', 'target_level': 1224, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 48170159
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580966800, 'target_is_minimal': False, 'target_label': '2448.2.a.u.1.1', 'target_level': 2448, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 48170160
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 2449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048317256, 'target_is_minimal': False, 'target_label': '3400.2.e.f.2449.1', 'target_level': 3400, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 2}
id: 48170161
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227305616, 'target_is_minimal': False, 'target_label': '6800.2.a.bd.1.1', 'target_level': 6800, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 48170162
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052521800, 'target_is_minimal': False, 'target_label': '3400.2.a.i.1.2', 'target_level': 3400, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
id: 48170163
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 2449, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518273048317256, 'target_is_minimal': False, 'target_label': '3400.2.e.f.2449.4', 'target_level': 3400, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 2}
id: 48170164
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052525064, 'target_is_minimal': False, 'target_label': '6664.2.a.i.1.2', 'target_level': 6664, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
id: 48170165
{'conductor': 136, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 577, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021666517256456, 'target_is_minimal': False, 'target_label': '2312.2.b.g.577.1', 'target_level': 2312, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '136.13', 'twisting_conrey_index': 13, 'weight': 2}
id: 48170166
{'conductor': 136, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 577, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021666517256456, 'target_is_minimal': False, 'target_label': '2312.2.b.g.577.4', 'target_level': 2312, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '136.21', 'twisting_conrey_index': 21, 'weight': 2}
id: 48170167
{'conductor': 136, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425152528, 'target_is_minimal': False, 'target_label': '4624.2.a.h.1.1', 'target_level': 4624, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '136.67', 'twisting_conrey_index': 67, 'weight': 2}
id: 48170168
{'conductor': 136, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326224448, 'source_is_minimal': False, 'source_label': '1088.2.a.s.1.2', 'source_level': 1088, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562002696, 'target_is_minimal': False, 'target_label': '2312.2.a.m.1.2', 'target_level': 2312, 'twist_class_label': '136.2.a.c.1.1', 'twist_class_level': 136, 'twisting_char_label': '136.101', 'twisting_conrey_index': 101, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 1666325
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326224448, 'p': 2}
id: 1666326
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 3}
id: 1666327
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 81064793326224448, 'p': 5}
id: 1666328
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 7}
id: 1666329
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 11}
id: 1666330
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 13}
id: 1666331
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326224448, 'p': 17}
id: 1666332
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 19}
id: 1666333
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 23}
id: 1666334
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 81064793326224448, 'p': 29}
id: 1666335
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 31}
id: 1666336
{'charpoly_factorization': [[[-76, -4, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 37}
id: 1666337
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 81064793326224448, 'p': 41}
id: 1666338
{'charpoly_factorization': [[[16, -12, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 43}
id: 1666339
{'charpoly_factorization': [[[-64, -8, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 47}
id: 1666340
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 81064793326224448, 'p': 53}
id: 1666341
{'charpoly_factorization': [[[80, 20, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 59}
id: 1666342
{'charpoly_factorization': [[[-76, -4, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 61}
id: 1666343
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 81064793326224448, 'p': 67}
id: 1666344
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 71}
id: 1666345
{'charpoly_factorization': [[[-44, -12, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 73}
id: 1666346
{'charpoly_factorization': [[[-20, -10, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 79}
id: 1666347
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 83}
id: 1666348
{'charpoly_factorization': [[[124, 24, 1], 1]], 'hecke_orbit_code': 81064793326224448, 'p': 89}
id: 1666349
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 81064793326224448, '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': 19, 'label': '1088.2.a.s', 'level': 1088, '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: 62868385
{'hecke_orbit_code': 81064793326224448, 'n': 1, 'trace_an': 2}
id: 62868386
{'hecke_orbit_code': 81064793326224448, 'n': 2, 'trace_an': 0}
id: 62868387
{'hecke_orbit_code': 81064793326224448, 'n': 3, 'trace_an': 2}
id: 62868388
{'hecke_orbit_code': 81064793326224448, 'n': 4, 'trace_an': 0}
id: 62868389
{'hecke_orbit_code': 81064793326224448, 'n': 5, 'trace_an': -4}
id: 62868390
{'hecke_orbit_code': 81064793326224448, 'n': 6, 'trace_an': 0}
id: 62868391
{'hecke_orbit_code': 81064793326224448, 'n': 7, 'trace_an': 2}
id: 62868392
{'hecke_orbit_code': 81064793326224448, 'n': 8, 'trace_an': 0}
id: 62868393
{'hecke_orbit_code': 81064793326224448, 'n': 9, 'trace_an': 6}
id: 62868394
{'hecke_orbit_code': 81064793326224448, 'n': 10, 'trace_an': 0}
id: 62868395
{'hecke_orbit_code': 81064793326224448, 'n': 11, 'trace_an': -2}
id: 62868396
{'hecke_orbit_code': 81064793326224448, 'n': 12, 'trace_an': 0}
id: 62868397
{'hecke_orbit_code': 81064793326224448, 'n': 13, 'trace_an': 0}
id: 62868398
{'hecke_orbit_code': 81064793326224448, 'n': 14, 'trace_an': 0}
id: 62868399
{'hecke_orbit_code': 81064793326224448, 'n': 15, 'trace_an': -4}
id: 62868400
{'hecke_orbit_code': 81064793326224448, 'n': 16, 'trace_an': 0}
id: 62868401
{'hecke_orbit_code': 81064793326224448, 'n': 17, 'trace_an': 2}
id: 62868402
{'hecke_orbit_code': 81064793326224448, 'n': 18, 'trace_an': 0}
id: 62868403
{'hecke_orbit_code': 81064793326224448, 'n': 19, 'trace_an': 4}
id: 62868404
{'hecke_orbit_code': 81064793326224448, 'n': 20, 'trace_an': 0}
id: 62868405
{'hecke_orbit_code': 81064793326224448, 'n': 21, 'trace_an': 12}
id: 62868406
{'hecke_orbit_code': 81064793326224448, 'n': 22, 'trace_an': 0}
id: 62868407
{'hecke_orbit_code': 81064793326224448, 'n': 23, 'trace_an': 2}
id: 62868408
{'hecke_orbit_code': 81064793326224448, 'n': 24, 'trace_an': 0}
id: 62868409
{'hecke_orbit_code': 81064793326224448, 'n': 25, 'trace_an': -2}
id: 62868410
{'hecke_orbit_code': 81064793326224448, 'n': 26, 'trace_an': 0}
id: 62868411
{'hecke_orbit_code': 81064793326224448, 'n': 27, 'trace_an': 20}
id: 62868412
{'hecke_orbit_code': 81064793326224448, 'n': 28, 'trace_an': 0}
id: 62868413
{'hecke_orbit_code': 81064793326224448, 'n': 29, 'trace_an': -4}
id: 62868414
{'hecke_orbit_code': 81064793326224448, 'n': 30, 'trace_an': 0}
id: 62868415
{'hecke_orbit_code': 81064793326224448, 'n': 31, 'trace_an': -2}
id: 62868416
{'hecke_orbit_code': 81064793326224448, 'n': 32, 'trace_an': 0}
id: 62868417
{'hecke_orbit_code': 81064793326224448, 'n': 33, 'trace_an': -12}
id: 62868418
{'hecke_orbit_code': 81064793326224448, 'n': 34, 'trace_an': 0}
id: 62868419
{'hecke_orbit_code': 81064793326224448, 'n': 35, 'trace_an': -4}
id: 62868420
{'hecke_orbit_code': 81064793326224448, 'n': 36, 'trace_an': 0}
id: 62868421
{'hecke_orbit_code': 81064793326224448, 'n': 37, 'trace_an': 4}
id: 62868422
{'hecke_orbit_code': 81064793326224448, 'n': 38, 'trace_an': 0}
id: 62868423
{'hecke_orbit_code': 81064793326224448, 'n': 39, 'trace_an': 20}
id: 62868424
{'hecke_orbit_code': 81064793326224448, 'n': 40, 'trace_an': 0}
id: 62868425
{'hecke_orbit_code': 81064793326224448, 'n': 41, 'trace_an': 4}
id: 62868426
{'hecke_orbit_code': 81064793326224448, 'n': 42, 'trace_an': 0}
id: 62868427
{'hecke_orbit_code': 81064793326224448, 'n': 43, 'trace_an': 12}
id: 62868428
{'hecke_orbit_code': 81064793326224448, 'n': 44, 'trace_an': 0}
id: 62868429
{'hecke_orbit_code': 81064793326224448, 'n': 45, 'trace_an': -12}
id: 62868430
{'hecke_orbit_code': 81064793326224448, 'n': 46, 'trace_an': 0}
id: 62868431
{'hecke_orbit_code': 81064793326224448, 'n': 47, 'trace_an': 8}
id: 62868432
{'hecke_orbit_code': 81064793326224448, 'n': 48, 'trace_an': 0}
id: 62868433
{'hecke_orbit_code': 81064793326224448, 'n': 49, 'trace_an': -2}
id: 62868434
{'hecke_orbit_code': 81064793326224448, 'n': 50, 'trace_an': 0}
id: 62868435
{'hecke_orbit_code': 81064793326224448, 'n': 51, 'trace_an': 2}
id: 62868436
{'hecke_orbit_code': 81064793326224448, 'n': 52, 'trace_an': 0}
id: 62868437
{'hecke_orbit_code': 81064793326224448, 'n': 53, 'trace_an': 4}
id: 62868438
{'hecke_orbit_code': 81064793326224448, 'n': 54, 'trace_an': 0}
id: 62868439
{'hecke_orbit_code': 81064793326224448, 'n': 55, 'trace_an': 4}
id: 62868440
{'hecke_orbit_code': 81064793326224448, 'n': 56, 'trace_an': 0}
id: 62868441
{'hecke_orbit_code': 81064793326224448, 'n': 57, 'trace_an': -16}
id: 62868442
{'hecke_orbit_code': 81064793326224448, 'n': 58, 'trace_an': 0}
id: 62868443
{'hecke_orbit_code': 81064793326224448, 'n': 59, 'trace_an': -20}
id: 62868444
{'hecke_orbit_code': 81064793326224448, 'n': 60, 'trace_an': 0}
id: 62868445
{'hecke_orbit_code': 81064793326224448, 'n': 61, 'trace_an': 4}
id: 62868446
{'hecke_orbit_code': 81064793326224448, 'n': 62, 'trace_an': 0}
id: 62868447
{'hecke_orbit_code': 81064793326224448, 'n': 63, 'trace_an': 26}
id: 62868448
{'hecke_orbit_code': 81064793326224448, 'n': 64, 'trace_an': 0}
id: 62868449
{'hecke_orbit_code': 81064793326224448, 'n': 65, 'trace_an': 0}
id: 62868450
{'hecke_orbit_code': 81064793326224448, 'n': 66, 'trace_an': 0}
id: 62868451
{'hecke_orbit_code': 81064793326224448, 'n': 67, 'trace_an': 24}
id: 62868452
{'hecke_orbit_code': 81064793326224448, 'n': 68, 'trace_an': 0}
id: 62868453
{'hecke_orbit_code': 81064793326224448, 'n': 69, 'trace_an': 12}
id: 62868454
{'hecke_orbit_code': 81064793326224448, 'n': 70, 'trace_an': 0}
id: 62868455
{'hecke_orbit_code': 81064793326224448, 'n': 71, 'trace_an': 14}
id: 62868456
{'hecke_orbit_code': 81064793326224448, 'n': 72, 'trace_an': 0}
id: 62868457
{'hecke_orbit_code': 81064793326224448, 'n': 73, 'trace_an': 12}
id: 62868458
{'hecke_orbit_code': 81064793326224448, 'n': 74, 'trace_an': 0}
id: 62868459
{'hecke_orbit_code': 81064793326224448, 'n': 75, 'trace_an': -2}
id: 62868460
{'hecke_orbit_code': 81064793326224448, 'n': 76, 'trace_an': 0}
id: 62868461
{'hecke_orbit_code': 81064793326224448, 'n': 77, 'trace_an': -12}
id: 62868462
{'hecke_orbit_code': 81064793326224448, 'n': 78, 'trace_an': 0}
id: 62868463
{'hecke_orbit_code': 81064793326224448, 'n': 79, 'trace_an': 10}
id: 62868464
{'hecke_orbit_code': 81064793326224448, 'n': 80, 'trace_an': 0}
id: 62868465
{'hecke_orbit_code': 81064793326224448, 'n': 81, 'trace_an': 22}
id: 62868466
{'hecke_orbit_code': 81064793326224448, 'n': 82, 'trace_an': 0}
id: 62868467
{'hecke_orbit_code': 81064793326224448, 'n': 83, 'trace_an': -12}
id: 62868468
{'hecke_orbit_code': 81064793326224448, 'n': 84, 'trace_an': 0}
id: 62868469
{'hecke_orbit_code': 81064793326224448, 'n': 85, 'trace_an': -4}
id: 62868470
{'hecke_orbit_code': 81064793326224448, 'n': 86, 'trace_an': 0}
id: 62868471
{'hecke_orbit_code': 81064793326224448, 'n': 87, 'trace_an': -4}
id: 62868472
{'hecke_orbit_code': 81064793326224448, 'n': 88, 'trace_an': 0}
id: 62868473
{'hecke_orbit_code': 81064793326224448, 'n': 89, 'trace_an': -24}
id: 62868474
{'hecke_orbit_code': 81064793326224448, 'n': 90, 'trace_an': 0}
id: 62868475
{'hecke_orbit_code': 81064793326224448, 'n': 91, 'trace_an': 20}
id: 62868476
{'hecke_orbit_code': 81064793326224448, 'n': 92, 'trace_an': 0}
id: 62868477
{'hecke_orbit_code': 81064793326224448, 'n': 93, 'trace_an': -12}
id: 62868478
{'hecke_orbit_code': 81064793326224448, 'n': 94, 'trace_an': 0}
id: 62868479
{'hecke_orbit_code': 81064793326224448, 'n': 95, 'trace_an': -8}
id: 62868480
{'hecke_orbit_code': 81064793326224448, 'n': 96, 'trace_an': 0}
id: 62868481
{'hecke_orbit_code': 81064793326224448, 'n': 97, 'trace_an': 4}
id: 62868482
{'hecke_orbit_code': 81064793326224448, 'n': 98, 'trace_an': 0}
id: 62868483
{'hecke_orbit_code': 81064793326224448, 'n': 99, 'trace_an': -26}
id: 62868484
{'hecke_orbit_code': 81064793326224448, '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.