LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-04-25T12:58:22.662650

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': 36800, 'analytic_conductor': 73.46236985957795, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [23, -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': [9200, 1, [1151, 6901, 2577, 1201], [1, 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, [-1, -1, 1]], [7, [-1, -1, 1]], [11, [-11, 1, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892606448, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9200.2.a.bu', 'level': 9200, '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, 23], 'level_radical': 230, 'minimal_twist': '230.2.a.c', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}+(1-\\beta )q^{7}+(-2+\\beta )q^{9}+(-2+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9200.2.a', 'trace_display': [0, 1, 0, 1], 'trace_hash': 517004500614879880, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.870', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.197', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.064', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.957', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, 0, 1, 0, 0, 0, 1, 0, -3, 0, -1, 0, 3, 0, 0, 0, -1, 0, 3, 0, -2, 0, 2, 0, 0, 0, -2, 0, -14, 0, -7, 0, 7, 0, 0, 0, -4, 0, 14, 0, -9, 0, 0, 0, 0, 0, 6, 0, -11, 0, -13, 0, 8, 0, 0, 0, -6, 0, 10, 0, -3, 0, -4, 0, 0, 0, 20, 0, 1, 0, -3, 0, -2, 0, 0, 0, -8, 0, -12, 0, -2, 0, 4, 0, 0, 0, -12, 0, -12, 0, -11, 0, -16, 0, 0, 0, -27, 0, 9, 0, -14, 0, 13, 0, 0, 0, 14, 0, -3, 0, -12, 0, -20, 0, 0, 0, 8, 0, 12, 0, 1, 0, 13, 0, 0, 0, 10, 0, 0, 0, 12, 0, 9, 0, 0, 0, 5, 0, -30, 0, -12, 0, 36, 0, 0, 0, -8, 0, -9, 0, -15, 0, -11, 0, 0, 0, -6, 0, -6, 0, 1, 0, 5, 0, 0, 0, -16, 0, 41, 0, -12, 0, 23, 0, 0, 0, -10, 0, 18, 0, -31, 0, -19, 0, 0, 0, -37, 0, 9, 0, 14, 0, -6, 0, 0, 0, 25, 0, -4, 0, 20, 0, -2, 0, 0, 0, -3, 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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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'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.618033988749895, 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892606448, 'label': '9200.2.a.bu.1.2', 'level': 9200, 'weight': 2}

Column	Type
ALdims	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': [25, 25, 27, 27, 29, 20, 25, 31], 'Nk2': 36800, 'analytic_conductor': 73.46236985957795, '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': [9200, 1, [1151, 6901, 2577, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1405, 'dim': 209, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33563632, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8], 'label': '9200.2.a', 'level': 9200, '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, 23], 'level_radical': 230, 'mf_dim': 1476, 'mf_new_dim': 209, 'num_forms': 83, 'plus_dim': 97, 'prim_orbit_index': 1, 'relative_dim': 209, 'sturm_bound': 2880, 'trace_bound': 11, 'trace_display': [0, 2, 0, 4], 'traces': [209, 0, 2, 0, 0, 0, 4, 0, 205, 0, 0, 0, 2, 0, 0, 0, -6, 0, 4, 0, 0, 0, -3, 0, 0, 0, 2, 0, 2, 0, 22, 0, 8, 0, 0, 0, 10, 0, -18, 0, 2, 0, 32, 0, 0, 0, 2, 0, 225, 0, -44, 0, -6, 0, 0, 0, 8, 0, -8, 0, 2, 0, -40, 0, 0, 0, 16, 0, 0, 0, 6, 0, -6, 0, 0, 0, -8, 0, 52, 0, 201, 0, -20, 0, 0, 0, 10, 0, -14, 0, 60, 0, 12, 0, 0, 0, -14, 0, 8, 0, -26, 0, -4, 0, 0, 0, 28, 0, -30, 0, 64, 0, 18, 0, 0, 0, 46, 0, 24, 0, 189, 0, -14, 0, 0, 0, 30, 0, 48, 0, -18, 0, -32, 0, 0, 0, 18, 0, 74, 0, 36, 0, -56, 0, 0, 0, -62, 0, -54, 0, 6, 0, 26, 0, 0, 0, -22, 0, 20, 0, 0, 0, 14, 0, 0, 0, -48, 0, 207, 0, 0, 0, 14, 0, 0, 0, 8, 0, -54, 0, -62, 0, -20, 0, 0, 0, 40, 0, 72, 0, -16, 0, 18, 0, 0, 0, 82, 0, 32, 0, -24, 0, -92, 0, 0, 0, -9, 0, -16, 0, -8, 0, 84, 0, 0, 0, 64, 0, 118, 0, -52, 0, -16, 0, 0, 0, -60, 0, -30, 0, -72, 0, -6, 0, 0, 0, 32, 0, -2, 0, 34, 0, -12, 0, 0, 0, 92, 0, -56, 0, 124, 0, 0, 0, 0, 0, -54, 0, 40, 0, 22, 0, 4, 0, 0, 0, 56, 0, -22, 0, 84, 0, 24, 0, 0, 0, -6, 0, 72, 0, -70, 0, -32, 0, 0, 0, 52, 0, 235, 0, 84, 0, -94, 0, 0, 0, 16, 0, -24, 0, -32, 0, -28, 0, 0, 0, 68, 0, -48, 0, -2, 0, 10, 0, 0, 0, -18, 0, -88, 0, -72, 0, -96, 0, 0, 0, 96, 0, 0, 0, 34, 0, -22, 0, 0, 0, -6, 0, 140, 0, -16, 0, 152, 0, 0, 0, 92, 0, 74, 0, 122, 0, -6, 0, 0, 0, 72, 0, 44, 0, 221, 0, -38, 0, 0, 0, 12, 0, -62, 0, 72, 0, 50, 0, 0, 0, 20, 0, 80, 0, -100, 0, 88, 0, 0, 0, 8, 0, -110, 0, 14, 0, -40, 0, 0, 0, 58, 0, 112, 0, 34, 0, 2, 0, 0, 0, -48, 0, 2, 0, 8, 0, 48, 0, 0, 0, -24, 0, 80, 0, 50, 0, -36, 0, 0, 0, 96, 0, 40, 0, -56, 0, -38, 0, 0, 0, 0, 0, 50, 0, 261, 0, 66, 0, 0, 0, 84, 0, 98, 0, 168, 0, 28, 0, 0, 0, 58, 0, -124, 0, -94, 0, 72, 0, 0, 0, 52, 0, 40, 0, 32, 0, -104, 0, 0, 0, -78, 0, 116, 0, 20, 0, 12, 0, 0, 0, -10, 0, 24, 0, 66, 0, -4, 0, 0, 0, -72, 0, 134, 0, -96, 0, -4, 0, 0, 0, 36, 0, -6, 0, 148, 0, 24, 0, 0, 0, 0, 0, 132, 0, 50, 0, 76, 0, 0, 0, -124, 0, 209, 0, -72, 0, 32, 0, 0, 0, -8, 0, 56, 0, -30, 0, 152, 0, 0, 0, 22, 0, -30, 0, -44, 0, -32, 0, 0, 0, -14, 0, 136, 0, -48, 0, 80, 0, 0, 0, -180, 0, 10, 0, -12, 0, 80, 0, 0, 0, -78, 0, -126, 0, -72, 0, 32, 0, 0, 0, 58, 0, 64, 0, -130, 0, 82, 0, 0, 0, -160, 0, 124, 0, -150, 0, 296, 0, 0, 0, 168, 0, -128, 0, -194, 0, -6, 0, 0, 0, -110, 0, -64, 0, 12, 0, -120, 0, 0, 0, -208, 0, 68, 0, 40, 0, 56, 0, 0, 0, 42, 0, 4, 0, -102, 0, 0, 0, 0, 0, -46, 0, -208, 0, 36, 0, -54, 0, 0, 0, -6, 0, -140, 0, -6, 0, -20, 0, 0, 0, 12, 0, 56, 0, 232, 0, -182, 0, 0, 0, 146, 0, 232, 0, -136, 0, -2, 0, 0, 0, 120, 0, -20, 0, 400, 0, 112, 0, 0, 0, -68, 0, 138, 0, -110, 0, -80, 0, 0, 0, -88, 0, 122, 0, 56, 0, 8, 0, 0, 0, 84, 0, -184, 0, -72, 0, 120, 0, 0, 0, -48, 0, 229, 0, -40, 0, 26, 0, 0, 0, 64, 0, 330, 0, 0, 0, 28, 0, 0, 0, -256, 0, 64, 0, 72, 0, 144, 0, 0, 0, -46, 0, 24, 0, 138, 0, 176, 0, 0, 0, -200, 0, -62, 0, -170, 0, -102, 0, 0, 0, 88, 0, -60, 0, 24, 0, 150, 0, 0, 0, -288, 0, 208, 0, -104, 0, 28, 0, 0, 0, 10, 0, -228, 0, 218, 0, -216, 0, 0, 0, -102, 0, 138, 0, -362, 0, -96, 0, 0, 0, 104, 0, 328, 0, -18, 0, 42, 0, 0, 0, 168, 0, -74, 0, -162, 0, 50, 0, 0, 0, 52, 0, -292, 0, 359, 0, -132, 0, 0, 0, 60, 0, 72, 0, -30, 0, 30, 0, 0, 0, -86, 0, 78, 0, -24, 0, 14, 0, 0, 0, -82, 0, -64, 0, 264, 0, 122, 0, 0, 0, 46, 0, 72, 0, 34, 0, 92, 0, 0, 0, -142, 0, -144, 0, 256, 0, 80, 0, 0, 0, 24, 0, -254, 0, -100, 0, -336, 0, 0, 0, -76, 0, -362, 0, 276, 0, -80, 0, 0, 0, 24, 0, -84, 0, 192, 0, 26, 0, 0, 0, 56, 0, -62, 0, 228, 0, -124, 0, 0, 0, -14, 0, 552, 0, -150, 0, -16, 0, 0, 0, -166, 0, -104, 0, -212, 0, -38, 0, 0, 0, -16, 0, -16, 0, 113, 0, -112, 0, 0, 0, 38, 0, 136, 0, -484, 0, -40, 0, 0, 0, -14, 0, -544, 0, -486, 0, -140, 0, 0, 0, 228, 0, 0, 0, -188, 0, 8, 0, 0, 0, -74, 0, 112, 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: 49014452
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 207165582892606448, 'target_is_minimal': False, 'target_label': '9200.2.a.bu.1.2', 'target_level': 9200, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 49014453
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679890046, 'target_is_minimal': False, 'target_label': '1150.2.a.j.1.1', 'target_level': 1150, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 49014454
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631728, 'target_is_minimal': False, 'target_label': '1840.2.a.l.1.1', 'target_level': 1840, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
id: 49014455
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 599, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028865771996286, 'target_is_minimal': False, 'target_label': '1150.2.b.i.599.3', 'target_level': 1150, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 49014456
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 599, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028865771996286, 'target_is_minimal': False, 'target_label': '1150.2.b.i.599.2', 'target_level': 1150, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
id: 49014457
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007199288295654, 'target_is_minimal': True, 'target_label': '230.2.a.c.1.2', 'target_level': 230, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 49014458
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787736788160, 'target_is_minimal': False, 'target_label': '7360.2.a.bh.1.1', 'target_level': 7360, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 49014459
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640385501011136, 'target_is_minimal': False, 'target_label': '7360.2.a.bn.1.2', 'target_level': 7360, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
id: 49014460
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580966422, 'target_is_minimal': False, 'target_label': '2070.2.a.u.1.1', 'target_level': 2070, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
id: 49014461
{'conductor': 460, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892606448, 'source_is_minimal': False, 'source_label': '9200.2.a.bu.1.2', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816746666, 'target_is_minimal': False, 'target_label': '5290.2.a.o.1.2', 'target_level': 5290, 'twist_class_label': '230.2.a.c.1.2', 'twist_class_level': 230, 'twisting_char_label': '460.459', 'twisting_conrey_index': 459, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 4963275
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 207165582892606448, 'p': 2}
id: 4963276
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 3}
id: 4963277
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 207165582892606448, 'p': 5}
id: 4963278
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 7}
id: 4963279
{'charpoly_factorization': [[[-11, 1, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 11}
id: 4963280
{'charpoly_factorization': [[[-29, -3, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 13}
id: 4963281
{'charpoly_factorization': [[[-31, 1, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 17}
id: 4963282
{'charpoly_factorization': [[[-9, -3, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 19}
id: 4963283
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 207165582892606448, 'p': 23}
id: 4963284
{'charpoly_factorization': [[[44, 14, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 29}
id: 4963285
{'charpoly_factorization': [[[-19, 7, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 31}
id: 4963286
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 37}
id: 4963287
{'charpoly_factorization': [[[-41, 9, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 41}
id: 4963288
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 207165582892606448, 'p': 43}
id: 4963289
{'charpoly_factorization': [[[-36, -6, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 47}
id: 4963290
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 53}
id: 4963291
{'charpoly_factorization': [[[-20, -10, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 59}
id: 4963292
{'charpoly_factorization': [[[-59, 3, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 61}
id: 4963293
{'charpoly_factorization': [[[80, -20, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 67}
id: 4963294
{'charpoly_factorization': [[[-29, 3, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 71}
id: 4963295
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 73}
id: 4963296
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 79}
id: 4963297
{'charpoly_factorization': [[[-76, -4, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 83}
id: 4963298
{'charpoly_factorization': [[[16, 12, 1], 1]], 'hecke_orbit_code': 207165582892606448, 'p': 89}
id: 4963299
{'charpoly_factorization': [[[181, 27, 1], 1]], 'hecke_orbit_code': 207165582892606448, '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': 47, 'label': '9200.2.a.bu', 'level': 9200, '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: 71312467
{'hecke_orbit_code': 207165582892606448, 'n': 1, 'trace_an': 2}
id: 71312468
{'hecke_orbit_code': 207165582892606448, 'n': 2, 'trace_an': 0}
id: 71312469
{'hecke_orbit_code': 207165582892606448, 'n': 3, 'trace_an': 1}
id: 71312470
{'hecke_orbit_code': 207165582892606448, 'n': 4, 'trace_an': 0}
id: 71312471
{'hecke_orbit_code': 207165582892606448, 'n': 5, 'trace_an': 0}
id: 71312472
{'hecke_orbit_code': 207165582892606448, 'n': 6, 'trace_an': 0}
id: 71312473
{'hecke_orbit_code': 207165582892606448, 'n': 7, 'trace_an': 1}
id: 71312474
{'hecke_orbit_code': 207165582892606448, 'n': 8, 'trace_an': 0}
id: 71312475
{'hecke_orbit_code': 207165582892606448, 'n': 9, 'trace_an': -3}
id: 71312476
{'hecke_orbit_code': 207165582892606448, 'n': 10, 'trace_an': 0}
id: 71312477
{'hecke_orbit_code': 207165582892606448, 'n': 11, 'trace_an': -1}
id: 71312478
{'hecke_orbit_code': 207165582892606448, 'n': 12, 'trace_an': 0}
id: 71312479
{'hecke_orbit_code': 207165582892606448, 'n': 13, 'trace_an': 3}
id: 71312480
{'hecke_orbit_code': 207165582892606448, 'n': 14, 'trace_an': 0}
id: 71312481
{'hecke_orbit_code': 207165582892606448, 'n': 15, 'trace_an': 0}
id: 71312482
{'hecke_orbit_code': 207165582892606448, 'n': 16, 'trace_an': 0}
id: 71312483
{'hecke_orbit_code': 207165582892606448, 'n': 17, 'trace_an': -1}
id: 71312484
{'hecke_orbit_code': 207165582892606448, 'n': 18, 'trace_an': 0}
id: 71312485
{'hecke_orbit_code': 207165582892606448, 'n': 19, 'trace_an': 3}
id: 71312486
{'hecke_orbit_code': 207165582892606448, 'n': 20, 'trace_an': 0}
id: 71312487
{'hecke_orbit_code': 207165582892606448, 'n': 21, 'trace_an': -2}
id: 71312488
{'hecke_orbit_code': 207165582892606448, 'n': 22, 'trace_an': 0}
id: 71312489
{'hecke_orbit_code': 207165582892606448, 'n': 23, 'trace_an': 2}
id: 71312490
{'hecke_orbit_code': 207165582892606448, 'n': 24, 'trace_an': 0}
id: 71312491
{'hecke_orbit_code': 207165582892606448, 'n': 25, 'trace_an': 0}
id: 71312492
{'hecke_orbit_code': 207165582892606448, 'n': 26, 'trace_an': 0}
id: 71312493
{'hecke_orbit_code': 207165582892606448, 'n': 27, 'trace_an': -2}
id: 71312494
{'hecke_orbit_code': 207165582892606448, 'n': 28, 'trace_an': 0}
id: 71312495
{'hecke_orbit_code': 207165582892606448, 'n': 29, 'trace_an': -14}
id: 71312496
{'hecke_orbit_code': 207165582892606448, 'n': 30, 'trace_an': 0}
id: 71312497
{'hecke_orbit_code': 207165582892606448, 'n': 31, 'trace_an': -7}
id: 71312498
{'hecke_orbit_code': 207165582892606448, 'n': 32, 'trace_an': 0}
id: 71312499
{'hecke_orbit_code': 207165582892606448, 'n': 33, 'trace_an': 7}
id: 71312500
{'hecke_orbit_code': 207165582892606448, 'n': 34, 'trace_an': 0}
id: 71312501
{'hecke_orbit_code': 207165582892606448, 'n': 35, 'trace_an': 0}
id: 71312502
{'hecke_orbit_code': 207165582892606448, 'n': 36, 'trace_an': 0}
id: 71312503
{'hecke_orbit_code': 207165582892606448, 'n': 37, 'trace_an': -4}
id: 71312504
{'hecke_orbit_code': 207165582892606448, 'n': 38, 'trace_an': 0}
id: 71312505
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id: 71312722
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id: 71312723
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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 $\F_{q}$

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.