LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2025-04-04T11:56:34.495112

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': 16704, 'analytic_conductor': 33.345527884086685, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [29, -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': [4176, 1, [1567, 1045, 929, 4033], [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': [[5, [1, 1]], [7, [2, 1]], [11, [-3, 1]], [17, [0, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934634064, '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': False, 'label': '4176.2.a.l', 'level': 4176, '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, 29], 'level_radical': 174, 'minimal_twist': '232.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-2q^{7}+3q^{11}-q^{13}+4q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/4176/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4176.2.a', 'trace_display': [0, 0, -1, -2], 'trace_hash': 1173982999247906616, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.073', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.301', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [1, 0, 0, 0, -1, 0, -2, 0, 0, 0, 3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 1, 0, -3, 0, 0, 0, 2, 0, -8, 0, 0, 0, 6, 0, 5, 0, 0, 0, 3, 0, -3, 0, 0, 0, -5, 0, -3, 0, 0, 0, -8, 0, 0, 0, 0, 0, 1, 0, 12, 0, 0, 0, 6, 0, -4, 0, 0, 0, -6, 0, -1, 0, 0, 0, -12, 0, 0, 0, 0, 0, -6, 0, 2, 0, 0, 0, 0, 0, 14, 0, 0, 0, -16, 0, -10, 0, 0, 0, 18, 0, -11, 0, 0, 0, -18, 0, -4, 0, 0, 0, 0, 0, -2, 0, 0, 0, 9, 0, -8, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, -4, 0, 0, 0, -3, 0, -1, 0, 0, 0, 1, 0, -22, 0, 0, 0, 3, 0, -14, 0, 0, 0, -8, 0, 9, 0, 0, 0, 2, 0, -12, 0, 0, 0, -10, 0, 8, 0, 0, 0, -6, 0, -25, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 14, 0, 0, 0, -2, 0, 14, 0, 0, 0, -2, 0, -6, 0, 0, 0, 0, 0, -3, 0, 0, 0, -5, 0, 6, 0, 0, 0, 0, 0, -26, 0, 0, 0, 6, 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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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-0.10018679762911578, -0.21465963199999846, -0.10048082474190106, -0.20129011586471282], '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': 12, 'hecke_orbit_code': 49539595934634064, 'label': '4176.2.a.l.1.1', 'level': 4176, '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': [7, 7, 12, 9, 7, 7, 9, 12], 'Nk2': 16704, 'analytic_conductor': 33.345527884086685, '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': [4176, 1, [1567, 1045, 929, 4033], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 70, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17], 'hecke_orbit_code': 33558608, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3], 'label': '4176.2.a', 'level': 4176, '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, 29], 'level_radical': 174, 'mf_dim': 744, 'mf_new_dim': 70, 'num_forms': 51, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 70, 'sturm_bound': 1440, 'trace_bound': 17, 'trace_display': [0, 0, 0, -4], 'traces': [70, 0, 0, 0, 0, 0, -4, 0, 0, 0, -6, 0, 0, 0, 0, 0, 4, 0, 10, 0, 0, 0, 12, 0, 70, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 30, 0, 0, 0, -2, 0, 54, 0, 0, 0, 0, 0, 20, 0, 0, 0, -4, 0, -16, 0, 0, 0, 8, 0, -16, 0, 0, 0, -16, 0, -20, 0, 0, 0, 16, 0, -18, 0, 0, 0, 12, 0, 0, 0, 0, 0, -4, 0, -24, 0, 0, 0, -16, 0, -20, 0, 0, 0, 0, 0, 60, 0, 0, 0, 12, 0, 0, 0, 0, 0, 20, 0, 24, 0, 0, 0, 16, 0, 50, 0, 0, 0, 36, 0, -2, 0, 0, 0, -30, 0, 40, 0, 0, 0, -4, 0, -28, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, -32, 0, 0, 0, -12, 0, -40, 0, 0, 0, 0, 0, 46, 0, 0, 0, -48, 0, 70, 0, 0, 0, 48, 0, 12, 0, 0, 0, 32, 0, -48, 0, 0, 0, -8, 0, 36, 0, 0, 0, -22, 0, -52, 0, 0, 0, -36, 0, -36, 0, 0, 0, -12, 0, 8, 0, 0, 0, -8, 0, -50, 0, 0, 0, 76, 0, -32, 0, 0, 0, 32, 0, 28, 0, 0, 0, 68, 0, 8, 0, 0, 0, -32, 0, 24, 0, 0, 0, 44, 0, -64, 0, 0, 0, 64, 0, 40, 0, 0, 0, -2, 0, -8, 0, 0, 0, -32, 0, 56, 0, 0, 0, 102, 0, -24, 0, 0, 0, -40, 0, -26, 0, 0, 0, -58, 0, 0, 0, 0, 0, 16, 0, -16, 0, 0, 0, -72, 0, 66, 0, 0, 0, 0, 0, 40, 0, 0, 0, 40, 0, 48, 0, 0, 0, -24, 0, 30, 0, 0, 0, 10, 0, 40, 0, 0, 0, 48, 0, -10, 0, 0, 0, 100, 0, 16, 0, 0, 0, 32, 0, 22, 0, 0, 0, 16, 0, -12, 0, 0, 0, 52, 0, 112, 0, 0, 0, 64, 0, -32, 0, 0, 0, -32, 0, 48, 0, 0, 0, 154, 0, -38, 0, 0, 0, 48, 0, -42, 0, 0, 0, -24, 0, -32, 0, 0, 0, 0, 0, 10, 0, 0, 0, -40, 0, 40, 0, 0, 0, 0, 0, -8, 0, 0, 0, -40, 0, 32, 0, 0, 0, -16, 0, -16, 0, 0, 0, 92, 0, -36, 0, 0, 0, -16, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, -88, 0, 0, 0, -4, 0, 28, 0, 0, 0, 64, 0, 48, 0, 0, 0, 58, 0, 80, 0, 0, 0, -44, 0, -20, 0, 0, 0, -8, 0, 56, 0, 0, 0, -64, 0, 8, 0, 0, 0, -22, 0, -32, 0, 0, 0, -20, 0, 74, 0, 0, 0, 18, 0, -16, 0, 0, 0, 40, 0, -76, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82, 0, -24, 0, 0, 0, 48, 0, -8, 0, 0, 0, 112, 0, -32, 0, 0, 0, -40, 0, 60, 0, 0, 0, -180, 0, 6, 0, 0, 0, 64, 0, 0, 0, 0, 0, 34, 0, 88, 0, 0, 0, 60, 0, -36, 0, 0, 0, 26, 0, -48, 0, 0, 0, -28, 0, -16, 0, 0, 0, -126, 0, 72, 0, 0, 0, -76, 0, 20, 0, 0, 0, -236, 0, 84, 0, 0, 0, -48, 0, 152, 0, 0, 0, -20, 0, 64, 0, 0, 0, -88, 0, -48, 0, 0, 0, -78, 0, -28, 0, 0, 0, -32, 0, 14, 0, 0, 0, -132, 0, -64, 0, 0, 0, 108, 0, 14, 0, 0, 0, 96, 0, -10, 0, 0, 0, 32, 0, 16, 0, 0, 0, 128, 0, -144, 0, 0, 0, -4, 0, 80, 0, 0, 0, -136, 0, -96, 0, 0, 0, -112, 0, 96, 0, 0, 0, 30, 0, -80, 0, 0, 0, 16, 0, 12, 0, 0, 0, -148, 0, -192, 0, 0, 0, 64, 0, -152, 0, 0, 0, -28, 0, -152, 0, 0, 0, -12, 0, -20, 0, 0, 0, -16, 0, -24, 0, 0, 0, -128, 0, -132, 0, 0, 0, -288, 0, 48, 0, 0, 0, -136, 0, -156, 0, 0, 0, 20, 0, 80, 0, 0, 0, 0, 0, -58, 0, 0, 0, 28, 0, -8, 0, 0, 0, -8, 0, 170, 0, 0, 0, 54, 0, 24, 0, 0, 0, 96, 0, -14, 0, 0, 0, -296, 0, -72, 0, 0, 0, 8, 0, -216, 0, 0, 0, -48, 0, -44, 0, 0, 0, -120, 0, 150, 0, 0, 0, -140, 0, -112, 0, 0, 0, -48, 0, -72, 0, 0, 0, -48, 0, -88, 0, 0, 0, -16, 0, -52, 0, 0, 0, -28, 0, -48, 0, 0, 0, 36, 0, -40, 0, 0, 0, -40, 0, -24, 0, 0, 0, -80, 0, -282, 0, 0, 0, 34, 0, 48, 0, 0, 0, 20, 0, 88, 0, 0, 0, 46, 0, 70, 0, 0, 0, 4, 0, 76, 0, 0, 0, -168, 0, 64, 0, 0, 0, 0, 0, -142, 0, 0, 0, -64, 0, -32, 0, 0, 0, -192, 0, -264, 0, 0, 0, 200, 0, -48, 0, 0, 0, 4, 0, -128, 0, 0, 0, 14, 0, 40, 0, 0, 0, 64, 0, 40, 0, 0, 0, -42, 0, 0, 0, 0, 0, 4, 0, -74, 0, 0, 0, 58, 0, 16, 0, 0, 0, -248, 0, -68, 0, 0, 0, 248, 0, -88, 0, 0, 0, 152, 0, 170, 0, 0, 0, 120, 0, -72, 0, 0, 0, -176, 0, -40, 0, 0, 0, 130, 0, 72, 0, 0, 0, -32, 0, -160, 0, 0, 0, 136, 0, -6, 0, 0, 0, 96, 0, -246, 0, 0, 0, -242, 0, -32, 0, 0, 0, -32, 0, -164, 0, 0, 0, -98, 0, -80, 0, 0, 0, -120, 0, 320, 0, 0, 0, 208, 0, -56, 0, 0, 0], 'weight': 2, 'weight_parity': 1}

Column	Type
conductor	integer
degree	integer
order	integer
parity	smallint
source_conrey_index	integer
source_dim	integer
source_embedding_index	integer
source_hecke_orbit_code	bigint
source_is_minimal	boolean
source_label	text
source_level	integer
target_conrey_index	integer
target_dim	integer
target_embedding_index	integer
target_hecke_orbit_code	bigint
target_is_minimal	boolean
target_label	text
target_level	integer
twist_class_label	text
twist_class_level	integer
twisting_char_label	text
twisting_conrey_index	integer
weight	smallint

mf_twists_cc • Show schema

id: 47290721
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934634064, 'source_is_minimal': False, 'source_label': '4176.2.a.l.1.1', 'source_level': 4176, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934634064, 'target_is_minimal': False, 'target_label': '4176.2.a.l.1.1', 'target_level': 4176, 'twist_class_label': '232.2.a.b.1.1', 'twist_class_level': 232, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 47290722
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934634064, 'source_is_minimal': False, 'source_label': '4176.2.a.l.1.1', 'source_level': 4176, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925392, 'target_is_minimal': False, 'target_label': '464.2.a.b.1.1', 'target_level': 464, 'twist_class_label': '232.2.a.b.1.1', 'twist_class_level': 232, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 47290723
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934634064, 'source_is_minimal': False, 'source_label': '4176.2.a.l.1.1', 'source_level': 4176, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915668008, 'target_is_minimal': False, 'target_label': '2088.2.a.d.1.1', 'target_level': 2088, 'twist_class_label': '232.2.a.b.1.1', 'twist_class_level': 232, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 47290724
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934634064, 'source_is_minimal': False, 'source_label': '4176.2.a.l.1.1', 'source_level': 4176, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925160, 'target_is_minimal': True, 'target_label': '232.2.a.b.1.1', 'target_level': 232, 'twist_class_label': '232.2.a.b.1.1', 'twist_class_level': 232, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 47290725
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934634064, 'source_is_minimal': False, 'source_label': '4176.2.a.l.1.1', 'source_level': 4176, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679890752, 'target_is_minimal': False, 'target_label': '1856.2.a.j.1.1', 'target_level': 1856, 'twist_class_label': '232.2.a.b.1.1', 'twist_class_level': 232, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 47290726
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934634064, 'source_is_minimal': False, 'source_label': '4176.2.a.l.1.1', 'source_level': 4176, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038272, 'target_is_minimal': False, 'target_label': '1856.2.a.e.1.1', 'target_level': 1856, 'twist_class_label': '232.2.a.b.1.1', 'twist_class_level': 232, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 47290727
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934634064, 'source_is_minimal': False, 'source_label': '4176.2.a.l.1.1', 'source_level': 4176, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543042216, 'target_is_minimal': False, 'target_label': '5800.2.a.e.1.1', 'target_level': 5800, 'twist_class_label': '232.2.a.b.1.1', 'twist_class_level': 232, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
id: 47290728
{'conductor': 348, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934634064, 'source_is_minimal': False, 'source_label': '4176.2.a.l.1.1', 'source_level': 4176, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660931656, 'target_is_minimal': False, 'target_label': '6728.2.a.b.1.1', 'target_level': 6728, 'twist_class_label': '232.2.a.b.1.1', 'twist_class_level': 232, 'twisting_char_label': '348.347', 'twisting_conrey_index': 347, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 3520100
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 2}
id: 3520101
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 3}
id: 3520102
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 5}
id: 3520103
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 7}
id: 3520104
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 11}
id: 3520105
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 13}
id: 3520106
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 17}
id: 3520107
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 19}
id: 3520108
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 23}
id: 3520109
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 29}
id: 3520110
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 31}
id: 3520111
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 37}
id: 3520112
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 41}
id: 3520113
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 43}
id: 3520114
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 47}
id: 3520115
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 53}
id: 3520116
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 59}
id: 3520117
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 61}
id: 3520118
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 67}
id: 3520119
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 71}
id: 3520120
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 73}
id: 3520121
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 79}
id: 3520122
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 83}
id: 3520123
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934634064, 'p': 89}
id: 3520124
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 49539595934634064, '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': 12, 'label': '4176.2.a.l', 'level': 4176, '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: 55974367
{'hecke_orbit_code': 49539595934634064, 'n': 1, 'trace_an': 1}
id: 55974368
{'hecke_orbit_code': 49539595934634064, 'n': 2, 'trace_an': 0}
id: 55974369
{'hecke_orbit_code': 49539595934634064, 'n': 3, 'trace_an': 0}
id: 55974370
{'hecke_orbit_code': 49539595934634064, 'n': 4, 'trace_an': 0}
id: 55974371
{'hecke_orbit_code': 49539595934634064, 'n': 5, 'trace_an': -1}
id: 55974372
{'hecke_orbit_code': 49539595934634064, 'n': 6, 'trace_an': 0}
id: 55974373
{'hecke_orbit_code': 49539595934634064, 'n': 7, 'trace_an': -2}
id: 55974374
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{'hecke_orbit_code': 49539595934634064, 'n': 751, 'trace_an': -32}
id: 55974588
{'hecke_orbit_code': 49539595934634064, 'n': 757, 'trace_an': 8}
id: 55974589
{'hecke_orbit_code': 49539595934634064, 'n': 761, 'trace_an': -10}
id: 55974590
{'hecke_orbit_code': 49539595934634064, 'n': 769, 'trace_an': 20}
id: 55974591
{'hecke_orbit_code': 49539595934634064, 'n': 773, 'trace_an': 18}
id: 55974592
{'hecke_orbit_code': 49539595934634064, 'n': 787, 'trace_an': 18}
id: 55974593
{'hecke_orbit_code': 49539595934634064, 'n': 797, 'trace_an': -24}
id: 55974594
{'hecke_orbit_code': 49539595934634064, 'n': 809, 'trace_an': 32}
id: 55974595
{'hecke_orbit_code': 49539595934634064, 'n': 811, 'trace_an': 6}
id: 55974596
{'hecke_orbit_code': 49539595934634064, 'n': 821, 'trace_an': -15}
id: 55974597
{'hecke_orbit_code': 49539595934634064, 'n': 823, 'trace_an': 16}
id: 55974598
{'hecke_orbit_code': 49539595934634064, 'n': 827, 'trace_an': 35}
id: 55974599
{'hecke_orbit_code': 49539595934634064, 'n': 829, 'trace_an': -40}
id: 55974600
{'hecke_orbit_code': 49539595934634064, 'n': 839, 'trace_an': 35}
id: 55974601
{'hecke_orbit_code': 49539595934634064, 'n': 841, 'trace_an': 1}
id: 55974602
{'hecke_orbit_code': 49539595934634064, 'n': 853, 'trace_an': -2}
id: 55974603
{'hecke_orbit_code': 49539595934634064, 'n': 857, 'trace_an': -21}
id: 55974604
{'hecke_orbit_code': 49539595934634064, 'n': 859, 'trace_an': 55}
id: 55974605
{'hecke_orbit_code': 49539595934634064, 'n': 863, 'trace_an': -18}
id: 55974606
{'hecke_orbit_code': 49539595934634064, 'n': 877, 'trace_an': 29}
id: 55974607
{'hecke_orbit_code': 49539595934634064, 'n': 881, 'trace_an': 30}
id: 55974608
{'hecke_orbit_code': 49539595934634064, 'n': 883, 'trace_an': 38}
id: 55974609
{'hecke_orbit_code': 49539595934634064, 'n': 887, 'trace_an': 15}
id: 55974610
{'hecke_orbit_code': 49539595934634064, 'n': 907, 'trace_an': 44}
id: 55974611
{'hecke_orbit_code': 49539595934634064, 'n': 911, 'trace_an': 13}
id: 55974612
{'hecke_orbit_code': 49539595934634064, 'n': 919, 'trace_an': 6}
id: 55974613
{'hecke_orbit_code': 49539595934634064, 'n': 929, 'trace_an': -34}
id: 55974614
{'hecke_orbit_code': 49539595934634064, 'n': 937, 'trace_an': -18}
id: 55974615
{'hecke_orbit_code': 49539595934634064, 'n': 941, 'trace_an': -5}
id: 55974616
{'hecke_orbit_code': 49539595934634064, 'n': 947, 'trace_an': 15}
id: 55974617
{'hecke_orbit_code': 49539595934634064, 'n': 953, 'trace_an': -47}
id: 55974618
{'hecke_orbit_code': 49539595934634064, 'n': 961, 'trace_an': -22}
id: 55974619
{'hecke_orbit_code': 49539595934634064, 'n': 967, 'trace_an': 29}
id: 55974620
{'hecke_orbit_code': 49539595934634064, 'n': 971, 'trace_an': -36}
id: 55974621
{'hecke_orbit_code': 49539595934634064, 'n': 977, 'trace_an': 35}
id: 55974622
{'hecke_orbit_code': 49539595934634064, 'n': 983, 'trace_an': -1}
id: 55974623
{'hecke_orbit_code': 49539595934634064, 'n': 991, 'trace_an': 38}
id: 55974624
{'hecke_orbit_code': 49539595934634064, 'n': 997, 'trace_an': -32}

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.