LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-10-10T10:26:50.716190

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': 32760, 'analytic_conductor': 65.39747925542864, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [7, -1], [13, 1]], 'atkin_lehner_string': '-++-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8190, 1, [911, 3277, 2341, 6931], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[11, [-2, 1]], [17, [-4, 1]], [19, [4, 1]], [23, [8, 1]], [29, [4, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109418494, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8190.2.a.bg', 'level': 8190, '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, 3, 5, 7, 13], 'level_radical': 2730, 'minimal_twist': '8190.2.a.t', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/8190/bg'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8190.2.a', 'trace_display': [1, 0, -1, 1], 'trace_hash': 1950405608056621891, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.929', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 1, 0, 1, -1, 0, 1, 1, 0, -1, 2, 0, -1, 1, 0, 1, 4, 0, -4, -1, 0, 2, -8, 0, 1, -1, 0, 1, -4, 0, -8, 1, 0, 4, -1, 0, -8, -4, 0, -1, -6, 0, 6, 2, 0, -8, -2, 0, 1, 1, 0, -1, -2, 0, -2, 1, 0, -4, 0, 0, 10, -8, 0, 1, 1, 0, -16, 4, 0, -1, -6, 0, -2, -8, 0, -4, 2, 0, 4, -1, 0, -6, 2, 0, -4, 6, 0, 2, 10, 0, -1, -8, 0, -2, 4, 0, 2, 1, 0, 1, -6, 0, 12, -1, 0, -2, -4, 0, -18, -2, 0, 1, 14, 0, 8, -4, 0, 0, 4, 0, -7, 10, 0, -8, -1, 0, -18, 1, 0, 1, 4, 0, -4, -16, 0, 4, 6, 0, 10, -1, 0, -6, -2, 0, 4, -2, 0, -8, 14, 0, -24, -4, 0, 2, 8, 0, -2, 4, 0, -1, -8, 0, 4, -6, 0, 2, -2, 0, 1, -4, 0, 6, 24, 0, 1, 2, 0, 10, -4, 0, -2, -1, 0, -8, 8, 0, 8, -2, 0, 4, 16, 0, 4, 2, 0, 1, -18, 0, -14, 1, 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

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-0.16291190315032594, -0.25919563244314675, -0.2622479879087801, -0.29650992999294534, -0.37573330812568023, -0.15978362008400032, -0.07189383827044844, -0.27446021617624505, -0.3091084016714356, -0.2621538799491092, -0.2408950996997345, -0.16771676764687718, -0.3356144561343224, -0.2895845846978935, -0.28338274536164015, -0.22583236302353377, -0.15770407769902256, -0.2680756480772586, -0.13141492207006844, -0.21073046296458028, -0.3277584997172913, -0.3943641443775518, -0.23207781243004752, -0.12831552657221418, -0.19220335829802437, -0.40833349080578407, -0.2618592902467872, -0.22326173171544358, -0.06076478404723439, -0.25, -0.3333175819791015, -0.17021382883394678, -0.3910567172774138, -0.39529557782425606, -0.1804950462706325, -0.10973226458061301, -0.24707894714594617, -0.20865796180074264, -0.3222009644246156], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109418494, 'label': '8190.2.a.bg.1.1', 'level': 8190, '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': [3, 4, 4, 1, 3, 2, 2, 5, 4, 4, 5, 4, 3, 6, 5, 3, 3, 2, 2, 5, 3, 4, 4, 1, 6, 4, 5, 4, 5, 4, 3, 7], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [48, 64, 66, 57, 63, 58, 54, 63, 61, 56, 55, 61, 59, 55, 56, 59, 55, 64, 68, 51, 65, 56, 54, 59, 56, 57, 56, 58, 60, 56, 57, 58], 'Nk2': 32760, 'analytic_conductor': 65.39747925542864, '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': [8190, 1, [911, 3277, 2341, 6931], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1985, 'dim': 120, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17, 19, 23, 29], 'hecke_orbit_code': 33562622, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '8190.2.a', 'level': 8190, '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, 3, 5, 7, 13], 'level_radical': 2730, 'mf_dim': 2048, 'mf_new_dim': 120, 'num_forms': 79, 'plus_dim': 48, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 4032, 'trace_bound': 23, 'trace_display': [4, 0, 0, 0], 'traces': [120, 4, 0, 120, 0, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 120, -8, 0, -40, 0, 0, -24, -16, 0, 120, 0, 0, 0, -16, 0, 32, 4, 0, -24, 0, 0, 8, -8, 0, 0, -24, 0, -8, 8, 0, -16, -32, 0, 120, 4, 0, 0, 0, 0, 0, 0, 0, 24, -24, 0, 48, -32, 0, 120, 8, 0, -16, -8, 0, -4, -8, 0, 40, -8, 0, -40, 0, 0, 40, 0, 0, 24, 24, 0, -8, -32, 0, -24, -24, 0, 0, -16, 0, 16, -8, 0, 24, 4, 0, 120, 32, 0, 48, 0, 0, 56, -24, 0, 80, -16, 0, 0, -40, 0, 32, -16, 0, 24, -24, 0, 192, -16, 0, 32, 0, 0, 80, 4, 0, -4, 0, 0, 32, -24, 0, -24, 72, 0, 48, 0, 0, 48, -16, 0, 0, 80, 0, 8, -16, 0, 56, -8, 0, 0, -8, 0, 48, 0, 0, 0, 32, 0, -48, -24, 0, -64, 32, 0, 120, -8, 0, -8, 80, 0, 0, 8, 0, 8, -16, 0, 80, 12, 0, -16, 16, 0, 32, -32, 0, -8, 112, 0, 104, 16, 0, 120, 8, 0, 48, 4, 0, 16, 16, 0, 32, 32, 0, 0, 96, 0, 32, 0, 0, 16, -16, 0, -16, 56, 0, 0, -16, 0, 128, 0, 0, -8, 152, 0, 0, -8, 0, 24, 120, 0, 0, -24, 0, 0, 184, 0, 72, 20, 0, 48, 0, 0, 16, -32, 0, 0, 48, 0, 80, -80, 0, 120, -88, 0, 16, 8, 0, -88, 88, 0, 32, -8, 0, -16, 0, 0, 112, -8, 0, -16, 8, 0, 64, 136, 0, -4, 32, 0, -152, -8, 0, 0, 48, 0, 56, 0, 0, 40, 64, 0, 24, -8, 0, 80, -8, 0, 32, 32, 0, -40, 88, 0, -88, 0, 0, -16, 16, 0, 56, -16, 0, 40, -40, 0, 16, 0, 0, 16, -48, 0, 0, 48, 0, 24, -56, 0, 40, 24, 0, -16, -48, 0, 72, 4, 0, -8, -16, 0, 0, -32, 0, 96, 136, 0, 80, 0, 0, -24, 120, 0, 56, -24, 0, -48, -24, 0, 168, -16, 0, 0, -32, 0, -80, -16, 0, 32, -16, 0, 144, -112, 0, 16, 0, 0, 104, -8, 0, 0, -80, 0, -8, 48, 0, 24, -16, 0, 0, 4, 0, 8, -32, 0, 48, 0, 0, 120, 128, 0, 56, 32, 0, 48, -184, 0, -24, -16, 0, 48, -16, 0, 0, 0, 0, -160, 32, 0, 32, 48, 0, 56, -8, 0, -24, -24, 0, 32, -88, 0, -104, -16, 0, 80, -112, 0, -32, -16, 0, 0, -152, 0, 32, -64, 0, 0, -32, 0, -32, -40, 0, -48, 0, 0, -184, -80, 0, 32, 0, 0, 16, -16, 0, 8, 56, 0, -96, 32, 0, 24, 96, 0, -40, -24, 0, 0, 48, 0, 0, 8, 0, 192, -32, 0, -112, -16, 0, 0, 240, 0, -48, 0, 0, 32, 48, 0, -56, 0, 0, -56, 16, 0, 40, -56, 0, 80, 128, 0, 56, 4, 0, -104, 88, 0, 96, 32, 0, -4, -192, 0, -24, 0, 0, 0, 0, 0, 144, 24, 0, 32, 24, 0, 0, -24, 0, -112, 8, 0, 160, 48, 0, -24, 56, 0, -24, 72, 0, -24, 160, 0, 80, 56, 0, 48, 104, 0, 48, 0, 0, -104, 88, 0, -16, 264, 0, 48, 88, 0, 192, -16, 0, 0, -16, 0, 184, -20, 0, 0, 96, 0, 240, 80, 0, -32, 136, 0, -80, 24, 0, 8, -152, 0, 32, -16, 0, 0, 200, 0, 32, -32, 0, 56, 96, 0, -16, -8, 0, -48, -32, 0, -104, 80, 0, 0, 40, 0, 136, -8, 0, 16, -40, 0, 120, 88, 0, 48, 240, 0, 40, 0, 0, -88, 64, 0, 0, 48, 0, 0, -8, 0, -40, 32, 0, -16, 64, 0, -48, 0, 0, -48, 32, 0, 24, -24, 0, 16, 80, 0, 160, -56, 0, -64, 8, 0, 160, 32, 0, 64, -176, 0, -8, -72, 0, 120, -320, 0, 88, -8, 0, -48, 256, 0, -112, 0, 0, -8, -72, 0, -264, 80, 0, -112, 88, 0, -288, 96, 0, 0, 96, 0, 64, 8, 0, -176, 72, 0, 288, -48, 0, 8, -240, 0, -8, -16, 0, 144, 144, 0, 24, 52, 0, 80, -16, 0, 96, 12, 0, -32, 32, 0, -128, 64, 0, -16, 232, 0, -40, 16, 0, 0, -128, 0, 88, -8, 0, 32, 16, 0, -104, -32, 0, -32, 56, 0, -208, 224, 0, -8, 56, 0, -64, 112, 0, -96, 48, 0, -216, 0, 0, 104, -80, 0, 32, 16, 0, -136, -144, 0, 80, -144, 0, 120, -96, 0, 104, 8, 0, -16, 48, 0, 16, -96, 0, 48, -160, 0, -288, 4, 0, -72, -128, 0, 32, -8, 0, 16, -80, 0, -8, 16, 0, 208, 144, 0, -224, -104, 0, 32, 240, 0, 320, 32, 0, -24, 48, 0, -48, -8, 0, 0, -8, 0, 32, 96, 0, -120, 112, 0, 200, -112, 0, 32, 0, 0, 128, 0, 0, -24, -144, 0, 0, -40, 0, 16, 216, 0, -224, -16, 0, 192, 32, 0, -64, 120, 0, -16, -80, 0, 0, 56, 0, -64, 0, 0, -24, -240, 0, 0, -64, 0, 168, -16, 0, -144, -240, 0, 0, 32, 0, 128, -48, 0, 0, 0, 0, 56, 336, 0, 64, -16, 0, -8, 24, 0, 216, 152, 0, -8, 16, 0, -160, 80, 0, 0, -8, 0, -56, -8, 0, -160, -48, 0, 8, 48, 0, 24, 8, 0, -40, 120, 0, 24, 0, 0, -280, 32, 0, 0, -48, 0, -96, -24, 0, -64, 192, 0, 0, -8, 0, 0, 32, 0, -48, 184, 0, -112, 112, 0, 224, -32, 0, 72, 48, 0, -208, 20, 0, 0, 80, 0, 24, -144, 0, 48, -24, 0, -128, 0, 0, -112, 48, 0, -112, -80, 0, 16, -112, 0, 152, -32, 0, 48, 80, 0, 80, 88, 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: 48791522
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418494, 'source_is_minimal': True, 'source_label': '8190.2.a.bg.1.1', 'source_level': 8190, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109418494, 'target_is_minimal': True, 'target_label': '8190.2.a.bg.1.1', 'target_level': 8190, 'twist_class_label': '8190.2.a.t.1.1', 'twist_class_level': 8190, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 48791523
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109418494, 'source_is_minimal': True, 'source_label': '8190.2.a.bg.1.1', 'source_level': 8190, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953602046, 'target_is_minimal': True, 'target_label': '8190.2.a.t.1.1', 'target_level': 8190, 'twist_class_label': '8190.2.a.t.1.1', 'twist_class_level': 8190, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 4683775
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 2}
id: 4683776
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 3}
id: 4683777
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 5}
id: 4683778
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 7}
id: 4683779
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 11}
id: 4683780
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 13}
id: 4683781
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 17}
id: 4683782
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 19}
id: 4683783
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 23}
id: 4683784
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 29}
id: 4683785
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 31}
id: 4683786
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 37}
id: 4683787
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 41}
id: 4683788
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 43}
id: 4683789
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 47}
id: 4683790
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 53}
id: 4683791
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 59}
id: 4683792
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 61}
id: 4683793
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 67}
id: 4683794
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 71}
id: 4683795
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 73}
id: 4683796
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 79}
id: 4683797
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 83}
id: 4683798
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 144115188109418494, 'p': 89}
id: 4683799
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 144115188109418494, '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': 33, 'label': '8190.2.a.bg', 'level': 8190, '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: 69162811
{'hecke_orbit_code': 144115188109418494, 'n': 1, 'trace_an': 1}
id: 69162812
{'hecke_orbit_code': 144115188109418494, 'n': 2, 'trace_an': 1}
id: 69162813
{'hecke_orbit_code': 144115188109418494, 'n': 3, 'trace_an': 0}
id: 69162814
{'hecke_orbit_code': 144115188109418494, 'n': 4, 'trace_an': 1}
id: 69162815
{'hecke_orbit_code': 144115188109418494, 'n': 5, 'trace_an': -1}
id: 69162816
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id: 69163028
{'hecke_orbit_code': 144115188109418494, 'n': 733, 'trace_an': 26}
id: 69163029
{'hecke_orbit_code': 144115188109418494, 'n': 739, 'trace_an': -28}
id: 69163030
{'hecke_orbit_code': 144115188109418494, 'n': 743, 'trace_an': -36}
id: 69163031
{'hecke_orbit_code': 144115188109418494, 'n': 751, 'trace_an': -8}
id: 69163032
{'hecke_orbit_code': 144115188109418494, 'n': 757, 'trace_an': -18}
id: 69163033
{'hecke_orbit_code': 144115188109418494, 'n': 761, 'trace_an': -30}
id: 69163034
{'hecke_orbit_code': 144115188109418494, 'n': 769, 'trace_an': -4}
id: 69163035
{'hecke_orbit_code': 144115188109418494, 'n': 773, 'trace_an': -34}
id: 69163036
{'hecke_orbit_code': 144115188109418494, 'n': 787, 'trace_an': 44}
id: 69163037
{'hecke_orbit_code': 144115188109418494, 'n': 797, 'trace_an': -36}
id: 69163038
{'hecke_orbit_code': 144115188109418494, 'n': 809, 'trace_an': 48}
id: 69163039
{'hecke_orbit_code': 144115188109418494, 'n': 811, 'trace_an': 16}
id: 69163040
{'hecke_orbit_code': 144115188109418494, 'n': 821, 'trace_an': 30}
id: 69163041
{'hecke_orbit_code': 144115188109418494, 'n': 823, 'trace_an': 30}
id: 69163042
{'hecke_orbit_code': 144115188109418494, 'n': 827, 'trace_an': 12}
id: 69163043
{'hecke_orbit_code': 144115188109418494, 'n': 829, 'trace_an': 18}
id: 69163044
{'hecke_orbit_code': 144115188109418494, 'n': 839, 'trace_an': -8}
id: 69163045
{'hecke_orbit_code': 144115188109418494, 'n': 841, 'trace_an': -13}
id: 69163046
{'hecke_orbit_code': 144115188109418494, 'n': 853, 'trace_an': 2}
id: 69163047
{'hecke_orbit_code': 144115188109418494, 'n': 857, 'trace_an': 4}
id: 69163048
{'hecke_orbit_code': 144115188109418494, 'n': 859, 'trace_an': -10}
id: 69163049
{'hecke_orbit_code': 144115188109418494, 'n': 863, 'trace_an': 24}
id: 69163050
{'hecke_orbit_code': 144115188109418494, 'n': 877, 'trace_an': -32}
id: 69163051
{'hecke_orbit_code': 144115188109418494, 'n': 881, 'trace_an': 54}
id: 69163052
{'hecke_orbit_code': 144115188109418494, 'n': 883, 'trace_an': 42}
id: 69163053
{'hecke_orbit_code': 144115188109418494, 'n': 887, 'trace_an': -12}
id: 69163054
{'hecke_orbit_code': 144115188109418494, 'n': 907, 'trace_an': -58}
id: 69163055
{'hecke_orbit_code': 144115188109418494, 'n': 911, 'trace_an': 44}
id: 69163056
{'hecke_orbit_code': 144115188109418494, 'n': 919, 'trace_an': 16}
id: 69163057
{'hecke_orbit_code': 144115188109418494, 'n': 929, 'trace_an': -34}
id: 69163058
{'hecke_orbit_code': 144115188109418494, 'n': 937, 'trace_an': 22}
id: 69163059
{'hecke_orbit_code': 144115188109418494, 'n': 941, 'trace_an': 42}
id: 69163060
{'hecke_orbit_code': 144115188109418494, 'n': 947, 'trace_an': -44}
id: 69163061
{'hecke_orbit_code': 144115188109418494, 'n': 953, 'trace_an': 6}
id: 69163062
{'hecke_orbit_code': 144115188109418494, 'n': 961, 'trace_an': 33}
id: 69163063
{'hecke_orbit_code': 144115188109418494, 'n': 967, 'trace_an': -28}
id: 69163064
{'hecke_orbit_code': 144115188109418494, 'n': 971, 'trace_an': 12}
id: 69163065
{'hecke_orbit_code': 144115188109418494, 'n': 977, 'trace_an': 2}
id: 69163066
{'hecke_orbit_code': 144115188109418494, 'n': 983, 'trace_an': 14}
id: 69163067
{'hecke_orbit_code': 144115188109418494, 'n': 991, 'trace_an': -52}
id: 69163068
{'hecke_orbit_code': 144115188109418494, 'n': 997, 'trace_an': -18}

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.