LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-07-14T16:26:44.179204

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': 4312, 'analytic_conductor': 8.607873337894025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'cm_discs': [], 'conrey_index': 67, 'dim': 4, 'field_disc': 225, 'field_disc_factorization': [[3, 2], [5, 2]], 'field_poly': [1, 1, 2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [16, -8, 8, 2, 1]], [5, [16, 8, 8, -2, 1]], [13, [-4, -2, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547070067278902, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1078.2.e.n', 'level': 1078, '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, 7, 11], 'level_radical': 154, 'minimal_twist': '154.2.a.d', 'nf_label': '4.0.225.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(-1-\\beta _{1}-\\beta _{2})q^{3}+(-1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1078.2.e', 'trace_display': [-2, -2, 2, 0], 'trace_hash': 1428503412790781051, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.699', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '52.022', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1253.535', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, 'traces': [4, -2, -2, -2, 2, 4, 0, 4, -6, 2, -2, -2, 4, 0, -24, -2, -4, -6, -10, -4, 0, 4, -8, -2, -2, -2, 40, 0, 0, 12, 4, -2, -2, 8, 0, 12, 4, -10, 8, 2, -8, 0, -24, -2, 26, -8, -4, 4, 0, 4, -24, -2, -8, -20, -4, 0, 0, 0, 10, 12, -6, -8, 0, 4, -8, -2, 4, -4, 16, 0, 8, -6, 8, 4, -22, 20, 0, -16, 0, 2, -22, 4, 4, 0, -48, 12, 20, -2, 20, -52, 0, 16, 4, -4, 0, -2, -32, 0, 12, -2, -6, -24, -12, 4, 0, 16, 4, -20, 20, 2, -88, 0, 16, 0, 8, 0, 14, -20, 0, -24, -2, -6, 24, 4, -24, 0, -48, -2, -8, -8, 14, 4, 0, -8, 40, -4, 4, -8, 60, 0, 8, -4, -2, -6, -20, -16, 0, -8, 0, -22, -24, -10, 104, 0, 8, 8, 6, 0, 12, -4, 0, 44, 12, 4, 12, -2, 8, 0, -28, 24, -10, 12, -2, -40, 0, 4, 20, 20, 0, 26, -28, 0, 32, -8, -44, 4, -4, 8, 0, 0, -4, -2, 12, 16, 16, 0, 72, -6, 20, -2, 64, 12, 0, 48, -24, -12, 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-16, 0, 48, 10, -8, 0, 56, 16, 24, -40, 20, 40, 0, -24, 54, -36, 52, 4, -56, 0, 112, -2, -80, 4, 34, 44, 0, 32, 8, -6, 4, -48, -40, 0, -120, 16, 28, 24, 36, -80, 0, 40, 48, 26, -44, 4, 48, 0, -40, 48, 26, 20, 120, -24, 0, 128, 40, 54, -144, 8, 120, 0, -120, 56, -36, -8, 38, -68, 0, -48, -64, -10, -20, 64, -108, 0, -8, -2, 44, -80, 0, 8, 0, 56, 56, -8, 52, -4, -208, 0, 64, 8, 20, -8, 24, -48, 0, -80, 0, -42, 0, 14, 120, 0, 128, -8, 38, 8, -56, 4, 0, -28, -92, -12, 36, 50, -176, 0, 32, -16, 16, 20, 10, 48, 0, -8, -80, -40, -28, -50, -240, 0, 104, 40, -16, 36, 78, 32, 0, -8, 24, -4, -6, -20, -68, 0, -64, -16, 32, 4, -24, 76, 0, 4, 76, -20, 72, -8, 32, 0, -160, -16, 30, -104, -6, 60, 0, -8, -28, 12, -36, 32, -24, 0, -80, -24, -62, -4, -4, -116, 0, 8, -60, 28, 0, -2, 24, 0, -48, -4, 0, 20, 128, -80, 0, -112, 72, -2, -20, -24, 16, 0, -136, -8, 4, -6, 28, -72, 0, 28, 20, -28, -20, -20, -160, 0, 56, -4, 28, -8, 20, -16, 0, 48, 36, -22, -96, -34, 8, 0, -8, 20, 62, -20, -26, 72, 0, -8, 0, 48, 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0, -96, 148, 10, -64, 4, 4, 0, 288, -28, -54, 16, -8, -48, 0, 80, 132, 20, -68, -20, 0, 0, -40, 12, -56, 54, -84, 72, 0, -104, 8, 4, -52, 28, -108, 0, 16, -56, -56, -2, 100, 160, 0, -8, 116, 34, -120, -22, 40, 0, -40, -16, -10, 8, 64, 12, 0, -8, 96, -48, -100, 20, -104, 0, 128, 60, -24, 16, -104, -56, 0, -48, 0, 36, 0, 40, 4, 0, 0, -20, -120, 48, 90, -52, 0, 88, 124, 4, 4, -24, -212, 0, -96, 20, 14, 48, 28, -52, 0, -40, 124, 120, 0, 12], '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

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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': 4312, 'analytic_conductor': 8.607873337894025, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'conrey_index': 67, 'cusp_dim': 304, 'dim': 64, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 274911462454, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '1078.2.e', 'level': 1078, '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, 7, 11], 'level_radical': 154, 'mf_dim': 368, 'mf_new_dim': 64, 'num_forms': 22, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 336, 'trace_bound': 23, 'trace_display': [0, 0, -4, 0], 'traces': [64, 0, 0, -32, -4, -8, 0, 0, -24, 0, 0, 0, -8, 0, 8, -32, 12, -16, 0, 8, 0, 0, -32, 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40, 0, -16, -28, -48, -40, 24, -32, 0, 8, 32, -4, 156, 60, 0, 0, 192, 0, -104, 40, 44, -128, 0, -24, 152, 36, -56, -56, 0, 0, -288, -224, -96, 120, 192, -248, 0, 0, 16, -36, 88, 12, -160, 0, 56, 172, -160, -32, 60, 24], '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: 47726442
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547070067278902, 'target_is_minimal': False, 'target_label': '1078.2.e.n.177.1', 'target_level': 1078, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 47726443
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079191835706422, 'target_is_minimal': False, 'target_label': '1078.2.a.w.1.2', 'target_level': 1078, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 47726444
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057868949390390, 'target_is_minimal': False, 'target_label': '1078.2.e.q.67.2', 'target_level': 1078, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 47726445
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58547070067278902, 'target_is_minimal': False, 'target_label': '1078.2.e.n.67.1', 'target_level': 1078, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
id: 47726446
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666074, 'target_is_minimal': True, 'target_label': '154.2.a.d.1.1', 'target_level': 154, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 47726447
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057868949390390, 'target_is_minimal': False, 'target_label': '1078.2.e.q.177.2', 'target_level': 1078, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
id: 47726448
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 324259173204239846, 'target_is_minimal': False, 'target_label': '9702.2.a.cu.1.2', 'target_level': 9702, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 47726449
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001770, 'target_is_minimal': False, 'target_label': '1386.2.a.m.1.1', 'target_level': 1386, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 47726450
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444113104, 'target_is_minimal': False, 'target_label': '1232.2.a.p.1.2', 'target_level': 1232, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 47726451
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482048432, 'target_is_minimal': False, 'target_label': '8624.2.a.bf.1.1', 'target_level': 8624, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
id: 47726452
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 72057731510439690, 'target_is_minimal': False, 'target_label': '3850.2.c.q.1849.4', 'target_level': 3850, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '35.12', 'twisting_conrey_index': 12, 'weight': 2}
id: 47726453
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991525642, 'target_is_minimal': False, 'target_label': '3850.2.a.bj.1.2', 'target_level': 3850, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 47726454
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057731510439690, 'target_is_minimal': False, 'target_label': '3850.2.c.q.1849.1', 'target_level': 3850, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '35.33', 'twisting_conrey_index': 33, 'weight': 2}
id: 47726455
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 202661983265231680, 'target_is_minimal': False, 'target_label': '4928.2.a.bt.1.2', 'target_level': 4928, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '56.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 47726456
{'conductor': 56, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618897216, 'target_is_minimal': False, 'target_label': '4928.2.a.bk.1.1', 'target_level': 4928, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '56.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 47726457
{'conductor': 77, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 58547070067278902, 'source_is_minimal': False, 'source_label': '1078.2.e.n.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631582, 'target_is_minimal': False, 'target_label': '1694.2.a.l.1.1', 'target_level': 1694, 'twist_class_label': '154.2.a.d.1.1', 'twist_class_level': 154, 'twisting_char_label': '77.54', 'twisting_conrey_index': 54, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 1658750
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 2}
id: 1658751
{'charpoly_factorization': [[[16, -8, 8, 2, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 3}
id: 1658752
{'charpoly_factorization': [[[16, 8, 8, -2, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 5}
id: 1658753
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 58547070067278902, 'p': 7}
id: 1658754
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 11}
id: 1658755
{'charpoly_factorization': [[[-4, -2, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 13}
id: 1658756
{'charpoly_factorization': [[[256, -64, 32, 4, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 17}
id: 1658757
{'charpoly_factorization': [[[400, 200, 80, 10, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 19}
id: 1658758
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 23}
id: 1658759
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 29}
id: 1658760
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 31}
id: 1658761
{'charpoly_factorization': [[[5776, 304, 92, -4, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 37}
id: 1658762
{'charpoly_factorization': [[[-16, 4, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 41}
id: 1658763
{'charpoly_factorization': [[[16, 12, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 43}
id: 1658764
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 47}
id: 1658765
{'charpoly_factorization': [[[16, -32, 68, 8, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 53}
id: 1658766
{'charpoly_factorization': [[[400, -200, 80, -10, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 59}
id: 1658767
{'charpoly_factorization': [[[16, 24, 32, 6, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 61}
id: 1658768
{'charpoly_factorization': [[[30976, 704, 192, -4, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 67}
id: 1658769
{'charpoly_factorization': [[[-16, -4, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 71}
id: 1658770
{'charpoly_factorization': [[[4096, 512, 128, -8, 1], 1]], 'hecke_orbit_code': 58547070067278902, 'p': 73}
id: 1658771
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 58547070067278902, 'p': 79}
id: 1658772
{'charpoly_factorization': [[[-124, -2, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 83}
id: 1658773
{'charpoly_factorization': [[[100, -10, 1], 2]], 'hecke_orbit_code': 58547070067278902, 'p': 89}
id: 1658774
{'charpoly_factorization': [[[44, 16, 1], 2]], 'hecke_orbit_code': 58547070067278902, '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': 5, 'hecke_orbit': 14, 'label': '1078.2.e.n', 'level': 1078, '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

id: 59260771
{'hecke_orbit_code': 58547070067278902, 'n': 1, 'trace_an': 4}
id: 59260772
{'hecke_orbit_code': 58547070067278902, 'n': 2, 'trace_an': -2}
id: 59260773
{'hecke_orbit_code': 58547070067278902, 'n': 3, 'trace_an': -2}
id: 59260774
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id: 59260986
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id: 59260987
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id: 59260988
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id: 59260989
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id: 59260990
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id: 59260991
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id: 59260992
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id: 59260993
{'hecke_orbit_code': 58547070067278902, 'n': 761, 'trace_an': 4}
id: 59260994
{'hecke_orbit_code': 58547070067278902, 'n': 769, 'trace_an': 120}
id: 59260995
{'hecke_orbit_code': 58547070067278902, 'n': 773, 'trace_an': 18}
id: 59260996
{'hecke_orbit_code': 58547070067278902, 'n': 787, 'trace_an': -34}
id: 59260997
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id: 59260998
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id: 59260999
{'hecke_orbit_code': 58547070067278902, 'n': 811, 'trace_an': -28}
id: 59261000
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id: 59261001
{'hecke_orbit_code': 58547070067278902, 'n': 823, 'trace_an': 12}
id: 59261002
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id: 59261003
{'hecke_orbit_code': 58547070067278902, 'n': 829, 'trace_an': 10}
id: 59261004
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id: 59261005
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id: 59261006
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id: 59261007
{'hecke_orbit_code': 58547070067278902, 'n': 857, 'trace_an': -84}
id: 59261008
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id: 59261009
{'hecke_orbit_code': 58547070067278902, 'n': 863, 'trace_an': -28}
id: 59261010
{'hecke_orbit_code': 58547070067278902, 'n': 877, 'trace_an': -36}
id: 59261011
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id: 59261012
{'hecke_orbit_code': 58547070067278902, 'n': 883, 'trace_an': 96}
id: 59261013
{'hecke_orbit_code': 58547070067278902, 'n': 887, 'trace_an': -44}
id: 59261014
{'hecke_orbit_code': 58547070067278902, 'n': 907, 'trace_an': 4}
id: 59261015
{'hecke_orbit_code': 58547070067278902, 'n': 911, 'trace_an': -112}
id: 59261016
{'hecke_orbit_code': 58547070067278902, 'n': 919, 'trace_an': 80}
id: 59261017
{'hecke_orbit_code': 58547070067278902, 'n': 929, 'trace_an': 0}
id: 59261018
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id: 59261019
{'hecke_orbit_code': 58547070067278902, 'n': 941, 'trace_an': -46}
id: 59261020
{'hecke_orbit_code': 58547070067278902, 'n': 947, 'trace_an': -16}
id: 59261021
{'hecke_orbit_code': 58547070067278902, 'n': 953, 'trace_an': 56}
id: 59261022
{'hecke_orbit_code': 58547070067278902, 'n': 961, 'trace_an': 54}
id: 59261023
{'hecke_orbit_code': 58547070067278902, 'n': 967, 'trace_an': 112}
id: 59261024
{'hecke_orbit_code': 58547070067278902, 'n': 971, 'trace_an': 34}
id: 59261025
{'hecke_orbit_code': 58547070067278902, 'n': 977, 'trace_an': 4}
id: 59261026
{'hecke_orbit_code': 58547070067278902, 'n': 983, 'trace_an': 28}
id: 59261027
{'hecke_orbit_code': 58547070067278902, 'n': 991, 'trace_an': -44}
id: 59261028
{'hecke_orbit_code': 58547070067278902, 'n': 997, 'trace_an': 26}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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