LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-08-11T14:03:33.224963

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': 9680, 'analytic_conductor': 50.82858021389793, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 80, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 4, 'char_parity': -1, 'char_values': [80, 4, [31, 21, 17], [4, 1, 3]], 'cm_discs': [], 'conrey_index': 53, 'dim': 236, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 1305854607440, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 80, 20, -1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '80.11.t.a', 'level': 80, '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, 5], 'level_radical': 10, 'minimal_twist': '80.11.i.a', 'prim_orbit_index': 20, 'related_objects': [], 'relative_dim': 118, 'rm_discs': [], 'sato_tate_group': '10.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '80.11.t', 'trace_display': [-2, -4, -2, 0], 'traces': [236, -2, -4, -1220, -2, -4, 0, -69128, 4487724, -2050, -4, 502036, -4, 0, -4, -2041064, -4, -5928762, 5107040, -2913164, -4, 12433056, 0, -236196, 0, -6048244, -236200, -19410024, 0, -83803600, -8, 25823988, -4, 150787640, -53736964, -100247348, -4, -550885268, -472392, 639109960, 0, 158048404, 0, 908940840, -19649350, -430213844, -4, 969096956, 0, -291177394, 373209116, -1240577336, 0, -1241604372, 0, 1974486356, -236196, 3270677692, -749542720, -93671636, -1673280164, 5087935284, -1129901000, 2847240880, -4, 4226634996, 0, 2362879160, -1698475716, 7903556792, 0, -20238989088, 894454032, 3678024964, -11676445764, 10579892476, 0, -5411469492, 0, -14318690508, 79033779748, -13605558548, 14192131356, 2938554144, -19531252, -2548694284, -236196, 6191196320, 0, 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Column	Type
an_normalized	double precision[]
angles	double precision[]
char_orbit_index	smallint
conrey_index	integer
dual_conrey_index	integer
dual_embedding_index	integer
dual_embedding_m	integer
embedding_index	integer
embedding_m	integer
embedding_root_imag	double precision
embedding_root_real	double precision
hecke_orbit	integer
hecke_orbit_code	bigint
label	text
level	integer
weight	smallint

mf_hecke_cc • Show schema

{'an_normalized': [[1.0, 0.0], [-0.9979432292048748, -0.06410391005349694], [-0.7902716227298723, 0.0], [0.9917813774317064, 0.12794412600689115], [0.9980859772315653, -0.061841588382829764], [0.7886462151360253, 0.0506595010213068], [1.1040353325298564, 1.1040353325298564], [-0.9815397917140367, -0.19125803847672773], [-0.37547076230789445, 0.0], [-0.9999974307618297, -0.002266819300189049], [0.08809890802150604, 0.08809890802150604], [-0.7837766785362225, -0.10111061207822111], [-1.5042388690406254, 0.0], [-1.030991603248746, -1.1725375665534992], [-0.7887590248507195, 0.0488716524034917], [0.9672606012406655, 0.2537852030508206], [0.10227111114280657, -0.10227111114280657], [0.37469850500955615, 0.02406914397470319], [0.04646202572600999, 0.04646202572600999], [0.9977953532705116, 0.06636590232773895], [-0.8724877937894838, -0.8724877937894838], [-0.08227022428478306, -0.09356519323602691], [-1.0940395108274914, 1.0940395108274914], [0.7756830439717927, 0.151145800427136], [0.9923512358925773, -0.12344644434925772], [1.5011449944658906, 0.09642759315995422], [1.0869955113465541, 0.0], [0.9537068471284731, 1.236216518530993], [0.24049267602852217, 0.24049267602852217], [0.7902695923338542, 0.0017914029667957933], [-1.084607100967628, 0.0], [-0.9490025440554801, -0.31526841163717373], [-0.06962206700288534, -0.06962206700288534], [-0.1086167410179927, 0.09550478479845337], [1.1701974823606498, 1.033646885171826], [-0.37238490982705635, -0.048039278524624716], [0.22431577006778192, 0.0], [-0.04338806647037097, -0.04934486150645778], [1.188757292010083, 0.0], [-0.9914888030949566, -0.1301919864558892], [0.0, -1.6285538543012459], [0.8147634073202593, 0.9266231654319694], [0.0, -0.008531611024908087], [0.07610311855882539, 0.09864659413677154], [-0.37475210271995557, 0.02321970833243212], [1.1619215327099655, -1.0216571119158508], [0.3687428687308439, -0.3687428687308439], [-0.7643986049451327, -0.20055924423980212], [0.0, 1.4377880309486215], 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[0.0921678346119249, -1.4348308305169857], [-0.033078564153327945, -0.033078564153327945], [0.9999897230605206, 0.004533626952380756]], 'angles': [None, -0.31465123482344254, None, 0.01756122432644518, -0.11507896561527022, -0.38548418024185155, -0.3634804006722693, -0.11977024393359269, 0.2657736802431801, -0.0978028920459378, -0.34122386003251326, -0.23211188004027372, -0.34856686471161585, -0.49932107390733305, -0.33301663820191524, -0.4999330677343602, -0.34383250032528895, -0.4723962630783442, -0.4957091341437597, -0.44045005207718135, -0.4791697926626853, -0.3516385285906571, -0.23709782436549315, -0.37280342271838535, 0.2915054682524372, -0.12580452630926847, -0.3093745180492165, -0.23123359567491628, -0.4694044613505195, -0.007162819826864046, -0.473286178360736, -0.2590375550329534, -0.1635455408517225, -0.30326456727929074, 0.2888621140117715, -0.4347450449415665, -0.46102735687340435, -0.3868715832182377, -0.19316296606800673, -0.24886974522210678, -0.4978431938016659, 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-0.45705738520090194, -0.31477423533408544, -0.05162841656284239, 0.14725996585987625, -0.35489818487698255, -0.03778973438455193, 0.04002915115879205, -0.13868902224864382, -0.34271333040084073, -0.14593749406001177, 0.044641458408552076, 0.07604002784508498, -0.3571883325865833], 'char_orbit_index': 20, 'conrey_index': 53, 'dual_conrey_index': 77, 'dual_embedding_index': 2, 'dual_embedding_m': 120, 'embedding_index': 2, 'embedding_m': 2, 'hecke_orbit': 1, 'hecke_orbit_code': 1305854607440, 'label': '80.11.t.a.53.2', 'level': 80, 'weight': 11}

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

{'Nk2': 9680, 'analytic_conductor': 50.82858021389793, 'char_conductor': 80, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 20, 'char_orbit_label': 't', 'char_order': 4, 'char_parity': -1, 'char_values': [80, 4, [31, 21, 17], [4, 1, 3]], 'conrey_index': 53, 'cusp_dim': 236, 'dim': 236, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_orbit_code': 1305854607440, 'hecke_orbit_dims': [236], 'label': '80.11.t', 'level': 80, '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, 5], 'level_radical': 10, 'mf_dim': 244, 'mf_new_dim': 244, 'num_forms': 1, 'prim_orbit_index': 20, 'relative_dim': 118, 'sturm_bound': 132, 'trace_bound': 0, 'trace_display': [-2, -4, -2, 0], 'traces': [236, -2, -4, -1220, -2, -4, 0, -69128, 4487724, -2050, -4, 502036, -4, 0, -4, -2041064, -4, -5928762, 5107040, -2913164, -4, 12433056, 0, -236196, 0, -6048244, -236200, 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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: 16204309
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 236, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1305854607440, 'source_is_minimal': True, 'source_label': '80.11.t.a.53.2', 'source_level': 80, 'target_conrey_index': 53, 'target_dim': 236, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1305854607440, 'target_is_minimal': True, 'target_label': '80.11.t.a.53.2', 'target_level': 80, 'twist_class_label': '80.11.i.a.13.62', 'twist_class_level': 80, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 11}
id: 16204310
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 236, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1305854607440, 'source_is_minimal': True, 'source_label': '80.11.t.a.53.2', 'source_level': 80, 'target_conrey_index': 37, 'target_dim': 236, 'target_embedding_index': 62, 'target_hecke_orbit_code': 549940363344, 'target_is_minimal': True, 'target_label': '80.11.i.a.37.62', 'target_level': 80, 'twist_class_label': '80.11.i.a.13.62', 'twist_class_level': 80, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 11}
id: 16204311
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 53, 'source_dim': 236, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1305854607440, 'source_is_minimal': True, 'source_label': '80.11.t.a.53.2', 'source_level': 80, 'target_conrey_index': 13, 'target_dim': 236, 'target_embedding_index': 62, 'target_hecke_orbit_code': 549940363344, 'target_is_minimal': True, 'target_label': '80.11.i.a.13.62', 'target_level': 80, 'twist_class_label': '80.11.i.a.13.62', 'twist_class_level': 80, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 11}
id: 16204312
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 53, 'source_dim': 236, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1305854607440, 'source_is_minimal': True, 'source_label': '80.11.t.a.53.2', 'source_level': 80, 'target_conrey_index': 77, 'target_dim': 236, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1305854607440, 'target_is_minimal': True, 'target_label': '80.11.t.a.77.2', 'target_level': 80, 'twist_class_label': '80.11.i.a.13.62', 'twist_class_level': 80, 'twisting_char_label': '80.77', 'twisting_conrey_index': 77, 'weight': 11}

hecke_orbit_code 1305854607440 does not appear in mf_hecke_charpolys

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': 20, 'hecke_orbit': 1, 'label': '80.11.t.a', 'level': 80, 'portrait': 'data:image/png;base64,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', 'weight': 11}

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: 12848724
{'hecke_orbit_code': 1305854607440, 'n': 1, 'trace_an': 236}
id: 12848725
{'hecke_orbit_code': 1305854607440, 'n': 2, 'trace_an': -2}
id: 12848726
{'hecke_orbit_code': 1305854607440, 'n': 3, 'trace_an': -4}
id: 12848727
{'hecke_orbit_code': 1305854607440, 'n': 4, 'trace_an': -1220}
id: 12848728
{'hecke_orbit_code': 1305854607440, 'n': 5, 'trace_an': -2}
id: 12848729
{'hecke_orbit_code': 1305854607440, 'n': 6, 'trace_an': -4}
id: 12848730
{'hecke_orbit_code': 1305854607440, 'n': 7, 'trace_an': 0}
id: 12848731
{'hecke_orbit_code': 1305854607440, 'n': 8, 'trace_an': -69128}
id: 12848732
{'hecke_orbit_code': 1305854607440, 'n': 9, 'trace_an': 4487724}
id: 12848733
{'hecke_orbit_code': 1305854607440, 'n': 10, 'trace_an': -2050}
id: 12848734
{'hecke_orbit_code': 1305854607440, 'n': 11, 'trace_an': -4}
id: 12848735
{'hecke_orbit_code': 1305854607440, 'n': 12, 'trace_an': 502036}
id: 12848736
{'hecke_orbit_code': 1305854607440, 'n': 13, 'trace_an': -4}
id: 12848737
{'hecke_orbit_code': 1305854607440, 'n': 14, 'trace_an': 0}
id: 12848738
{'hecke_orbit_code': 1305854607440, 'n': 15, 'trace_an': -4}
id: 12848739
{'hecke_orbit_code': 1305854607440, 'n': 16, 'trace_an': -2041064}
id: 12848740
{'hecke_orbit_code': 1305854607440, 'n': 17, 'trace_an': -4}
id: 12848741
{'hecke_orbit_code': 1305854607440, 'n': 18, 'trace_an': -5928762}
id: 12848742
{'hecke_orbit_code': 1305854607440, 'n': 19, 'trace_an': 5107040}
id: 12848743
{'hecke_orbit_code': 1305854607440, 'n': 20, 'trace_an': -2913164}
id: 12848744
{'hecke_orbit_code': 1305854607440, 'n': 21, 'trace_an': -4}
id: 12848745
{'hecke_orbit_code': 1305854607440, 'n': 22, 'trace_an': 12433056}
id: 12848746
{'hecke_orbit_code': 1305854607440, 'n': 23, 'trace_an': 0}
id: 12848747
{'hecke_orbit_code': 1305854607440, 'n': 24, 'trace_an': -236196}
id: 12848748
{'hecke_orbit_code': 1305854607440, 'n': 25, 'trace_an': 0}
id: 12848749
{'hecke_orbit_code': 1305854607440, 'n': 26, 'trace_an': -6048244}
id: 12848750
{'hecke_orbit_code': 1305854607440, 'n': 27, 'trace_an': -236200}
id: 12848751
{'hecke_orbit_code': 1305854607440, 'n': 28, 'trace_an': -19410024}
id: 12848752
{'hecke_orbit_code': 1305854607440, 'n': 29, 'trace_an': 0}
id: 12848753
{'hecke_orbit_code': 1305854607440, 'n': 30, 'trace_an': -83803600}
id: 12848754
{'hecke_orbit_code': 1305854607440, 'n': 31, 'trace_an': -8}
id: 12848755
{'hecke_orbit_code': 1305854607440, 'n': 32, 'trace_an': 25823988}
id: 12848756
{'hecke_orbit_code': 1305854607440, 'n': 33, 'trace_an': -4}
id: 12848757
{'hecke_orbit_code': 1305854607440, 'n': 34, 'trace_an': 150787640}
id: 12848758
{'hecke_orbit_code': 1305854607440, 'n': 35, 'trace_an': -53736964}
id: 12848759
{'hecke_orbit_code': 1305854607440, 'n': 36, 'trace_an': -100247348}
id: 12848760
{'hecke_orbit_code': 1305854607440, 'n': 37, 'trace_an': -4}
id: 12848761
{'hecke_orbit_code': 1305854607440, 'n': 38, 'trace_an': -550885268}
id: 12848762
{'hecke_orbit_code': 1305854607440, 'n': 39, 'trace_an': -472392}
id: 12848763
{'hecke_orbit_code': 1305854607440, 'n': 40, 'trace_an': 639109960}
id: 12848764
{'hecke_orbit_code': 1305854607440, 'n': 41, 'trace_an': 0}
id: 12848765
{'hecke_orbit_code': 1305854607440, 'n': 42, 'trace_an': 158048404}
id: 12848766
{'hecke_orbit_code': 1305854607440, 'n': 43, 'trace_an': 0}
id: 12848767
{'hecke_orbit_code': 1305854607440, 'n': 44, 'trace_an': 908940840}
id: 12848768
{'hecke_orbit_code': 1305854607440, 'n': 45, 'trace_an': -19649350}
id: 12848769
{'hecke_orbit_code': 1305854607440, 'n': 46, 'trace_an': -430213844}
id: 12848770
{'hecke_orbit_code': 1305854607440, 'n': 47, 'trace_an': -4}
id: 12848771
{'hecke_orbit_code': 1305854607440, 'n': 48, 'trace_an': 969096956}
id: 12848772
{'hecke_orbit_code': 1305854607440, 'n': 49, 'trace_an': 0}
id: 12848773
{'hecke_orbit_code': 1305854607440, 'n': 50, 'trace_an': -291177394}
id: 12848774
{'hecke_orbit_code': 1305854607440, 'n': 51, 'trace_an': 373209116}
id: 12848775
{'hecke_orbit_code': 1305854607440, 'n': 52, 'trace_an': -1240577336}
id: 12848776
{'hecke_orbit_code': 1305854607440, 'n': 53, 'trace_an': 0}
id: 12848777
{'hecke_orbit_code': 1305854607440, 'n': 54, 'trace_an': -1241604372}
id: 12848778
{'hecke_orbit_code': 1305854607440, 'n': 55, 'trace_an': 0}
id: 12848779
{'hecke_orbit_code': 1305854607440, 'n': 56, 'trace_an': 1974486356}
id: 12848780
{'hecke_orbit_code': 1305854607440, 'n': 57, 'trace_an': -236196}
id: 12848781
{'hecke_orbit_code': 1305854607440, 'n': 58, 'trace_an': 3270677692}
id: 12848782
{'hecke_orbit_code': 1305854607440, 'n': 59, 'trace_an': -749542720}
id: 12848783
{'hecke_orbit_code': 1305854607440, 'n': 60, 'trace_an': -93671636}
id: 12848784
{'hecke_orbit_code': 1305854607440, 'n': 61, 'trace_an': -1673280164}
id: 12848785
{'hecke_orbit_code': 1305854607440, 'n': 62, 'trace_an': 5087935284}
id: 12848786
{'hecke_orbit_code': 1305854607440, 'n': 63, 'trace_an': -1129901000}
id: 12848787
{'hecke_orbit_code': 1305854607440, 'n': 64, 'trace_an': 2847240880}
id: 12848788
{'hecke_orbit_code': 1305854607440, 'n': 65, 'trace_an': -4}
id: 12848789
{'hecke_orbit_code': 1305854607440, 'n': 66, 'trace_an': 4226634996}
id: 12848790
{'hecke_orbit_code': 1305854607440, 'n': 67, 'trace_an': 0}
id: 12848791
{'hecke_orbit_code': 1305854607440, 'n': 68, 'trace_an': 2362879160}
id: 12848792
{'hecke_orbit_code': 1305854607440, 'n': 69, 'trace_an': -1698475716}
id: 12848793
{'hecke_orbit_code': 1305854607440, 'n': 70, 'trace_an': 7903556792}
id: 12848794
{'hecke_orbit_code': 1305854607440, 'n': 71, 'trace_an': 0}
id: 12848795
{'hecke_orbit_code': 1305854607440, 'n': 72, 'trace_an': -20238989088}
id: 12848796
{'hecke_orbit_code': 1305854607440, 'n': 73, 'trace_an': 894454032}
id: 12848797
{'hecke_orbit_code': 1305854607440, 'n': 74, 'trace_an': 3678024964}
id: 12848798
{'hecke_orbit_code': 1305854607440, 'n': 75, 'trace_an': -11676445764}
id: 12848799
{'hecke_orbit_code': 1305854607440, 'n': 76, 'trace_an': 10579892476}
id: 12848800
{'hecke_orbit_code': 1305854607440, 'n': 77, 'trace_an': 0}
id: 12848801
{'hecke_orbit_code': 1305854607440, 'n': 78, 'trace_an': -5411469492}
id: 12848802
{'hecke_orbit_code': 1305854607440, 'n': 79, 'trace_an': 0}
id: 12848803
{'hecke_orbit_code': 1305854607440, 'n': 80, 'trace_an': -14318690508}
id: 12848804
{'hecke_orbit_code': 1305854607440, 'n': 81, 'trace_an': 79033779748}
id: 12848805
{'hecke_orbit_code': 1305854607440, 'n': 82, 'trace_an': -13605558548}
id: 12848806
{'hecke_orbit_code': 1305854607440, 'n': 83, 'trace_an': 14192131356}
id: 12848807
{'hecke_orbit_code': 1305854607440, 'n': 84, 'trace_an': 2938554144}
id: 12848808
{'hecke_orbit_code': 1305854607440, 'n': 85, 'trace_an': -19531252}
id: 12848809
{'hecke_orbit_code': 1305854607440, 'n': 86, 'trace_an': -2548694284}
id: 12848810
{'hecke_orbit_code': 1305854607440, 'n': 87, 'trace_an': -236196}
id: 12848811
{'hecke_orbit_code': 1305854607440, 'n': 88, 'trace_an': 6191196320}
id: 12848812
{'hecke_orbit_code': 1305854607440, 'n': 89, 'trace_an': 0}
id: 12848813
{'hecke_orbit_code': 1305854607440, 'n': 90, 'trace_an': -9176696354}
id: 12848814
{'hecke_orbit_code': 1305854607440, 'n': 91, 'trace_an': 6679066556}
id: 12848815
{'hecke_orbit_code': 1305854607440, 'n': 92, 'trace_an': -48368811232}
id: 12848816
{'hecke_orbit_code': 1305854607440, 'n': 93, 'trace_an': -236200}
id: 12848817
{'hecke_orbit_code': 1305854607440, 'n': 94, 'trace_an': 8232256100}
id: 12848818
{'hecke_orbit_code': 1305854607440, 'n': 95, 'trace_an': -6725122180}
id: 12848819
{'hecke_orbit_code': 1305854607440, 'n': 96, 'trace_an': 7881918696}
id: 12848820
{'hecke_orbit_code': 1305854607440, 'n': 97, 'trace_an': -4}
id: 12848821
{'hecke_orbit_code': 1305854607440, 'n': 98, 'trace_an': 29650059982}
id: 12848822
{'hecke_orbit_code': 1305854607440, 'n': 99, 'trace_an': 28071956444}
id: 12848823
{'hecke_orbit_code': 1305854607440, 'n': 100, 'trace_an': 10800378412}

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.