LMFDB - Embedded newform data - 6000.2.f.o.1249.5

Formats: - HTML - YAML - JSON - 2024-06-12T19:09:44.874521

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': 24000, 'analytic_conductor': 47.91024121276823, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [6000, 2, [751, 4501, 4001, 5377], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 1249, 'dim': 8, 'field_disc': 1632160000, 'field_disc_factorization': [[2, 8], [5, 4], [101, 2]], 'field_poly': [25, 0, 65, 0, 46, 0, 12, 0, 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': [[7, [6400, 0, 4160, 0, 736, 0, 48, 0, 1]], [11, [-16, -88, -12, 6, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050738414131056, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 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': '6000.2.f.o', 'level': 6000, '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], 'level_radical': 30, 'minimal_twist': '375.2.a.e', 'nf_label': '8.0.1632160000.5', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{2}q^{3}+(-\\beta _{2}+\\beta _{3})q^{7}-q^{9}+(-2+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6000.2.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2163015828727379150, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.816', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '346.881', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22950.621', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.515', 'prec': 17}, 'traces': [8, 0, 0, 0, 0, 0, 0, 0, -8, 0, -12, 0, 0, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 0, 0, 0, -12, 0, -8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 48, 0, 0, 0, 0, 0, 0, 0, -40, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 20, 0, 0, 0, 0, 0, 0, 0, -16, 0, 24, 0, 0, 0, 0, 0, 0, 0, -40, 0, 8, 0, 0, 0, 0, 0, 0, 0, -56, 0, 72, 0, 0, 0, 0, 0, 0, 0, 12, 0, 32, 0, 0, 0, 0, 0, 0, 0, 4, 0, 28, 0, 0, 0, 0, 0, 0, 0, -4, 0, 32, 0, 0, 0, 0, 0, 0, 0, 20, 0, -40, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, -16, 0, 0, 0, 0, 0, 0, 0, -4, 0, 68, 0, 0, 0, 0, 0, 0, 0, -56, 0, -16, 0, 0, 0, 0, 0, 0, 0, -60, 0, 28, 0, 0, 0, 0, 0, 0, 0, 8, 0, 68, 0, 0, 0, 0, 0, 0, 0, -32, 0, -16, 0, 0, 0, 0, 0, 0, 0, -116, 0, 72, 0, 0, 0, 0, 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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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

{'Nk2': 24000, 'analytic_conductor': 47.91024121276823, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [6000, 2, [751, 4501, 4001, 5377], [2, 2, 2, 1]], 'conrey_index': 1249, 'cusp_dim': 1140, 'dim': 96, 'eis_dim': 120, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 343630944112, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], 'label': '6000.2.f', 'level': 6000, '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], 'level_radical': 30, 'mf_dim': 1260, 'mf_new_dim': 96, 'num_forms': 19, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 2400, 'trace_bound': 21, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -88, 0, -4, 0, 0, 0, 0, 0, 0, 0, 16, 0, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, -16, 0, 0, 0, 0, 0, 0, 0, 100, 0, 96, 0, 0, 0, 0, 0, 0, 0, 8, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -96, 0, 0, 0, 0, 0, 0, 0, -8, 0, 80, 0, 0, 0, 0, 0, 0, 0, 8, 0, 24, 0, 0, 0, 0, 0, 0, 0, 100, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, -4, 0, 0, 0, 0, 0, 0, 0, -216, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -4, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, 0, 0, 96, 0, 32, 0, 0, 0, 0, 0, 0, 0, -40, 0, 24, 0, 0, 0, 0, 0, 0, 0, -216, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 8, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, -100, 0, 0, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 0, 0, -88, 0, -24, 0, 0, 0, 0, 0, 0, 0, 8, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -168, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, -132, 0, 0, 0, 0, 0, 0, 0, -20, 0, 16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 88, 0, 0, 0, 0, 0, 0, 0, 8, 0, 264, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 164, 0, 0, 0, 0, 0, 0, 0, 120, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -8, 0, -24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 176, 0, 0, 0, 0, 0, 0, 0, -112, 0, 88, 0, 0, 0, 0, 0, 0, 0, 8, 0, -16, 0, 0, 0, 0, 0, 0, 0, 4, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 24, 0, 0, 0, 0, 0, 0, 0, 40, 0, -16, 0, 0, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, -244, 0, -8, 0, 0, 0, 0, 0, 0, 0, -16, 0, -40, 0, 0, 0, 0, 0, 0, 0, -120, 0, -8, 0, 0, 0, 0, 0, 0, 0, -96, 0, -16, 0, 0, 0, 0, 0, 0, 0, 72, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, -40, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 20, 0, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 52, 0, 8, 0, 0, 0, 0, 0, 0, 0, 48, 0, 112, 0, 0, 0, 0, 0, 0, 0, 16, 0, 8, 0, 0, 0, 0, 0, 0, 0, -32, 0, -136, 0, 0, 0, 0, 0, 0, 0, -192, 0, -8, 0, 0, 0, 0, 0, 0, 0, 16, 0, -88, 0, 0, 0, 0, 0, 0, 0, 120, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, -116, 0, 0, 0, 0, 0, 0, 0, -120, 0, -432, 0, 0, 0, 0, 0, 0, 0, 408, 0, -100, 0, 0, 0, 0, 0, 0, 0, -24, 0, 16, 0, 0, 0, 0, 0, 0, 0, -96, 0, -24, 0, 0, 0, 0, 0, 0, 0, 148, 0, -16, 0, 0, 0, 0, 0, 0, 0, 384, 0, 116, 0, 0, 0, 0, 0, 0, 0, 16, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -16, 0, -432, 0, 0, 0, 0, 0, 0, 0, -8, 0, 16, 0, 0, 0, 0, 0, 0, 0, 64, 0, -8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 28, 0, 0, 0, 0, 0, 0, 0, 112, 0, -416, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 72, 0, 0, 0, 0, 0, 0, 0, 24, 0, 264, 0, 0, 0, 0, 0, 0, 0, -16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 464, 0, -72, 0, 0, 0, 0, 0, 0, 0, 12, 0, 24, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -116, 0, -8, 0, 0, 0, 0, 0, 0, 0, -88, 0, -124, 0, 0, 0, 0, 0, 0, 0, 16, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -176, 0, 152, 0, 0, 0, 0, 0, 0, 0, -48, 0, 64, 0, 0, 0, 0, 0, 0, 0, -80, 0, 8, 0, 0, 0, 0, 0, 0, 0, 416, 0, -4, 0, 0, 0, 0, 0, 0, 0, 96, 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: 47865807
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050738414131056, 'target_is_minimal': False, 'target_label': '6000.2.f.o.1249.5', 'target_level': 6000, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 47865808
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 124, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007268007772535, 'target_is_minimal': False, 'target_label': '375.2.b.c.124.5', 'target_level': 375, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 47865809
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 148618787736786800, 'target_is_minimal': False, 'target_label': '6000.2.a.bh.1.4', 'target_level': 6000, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 47865810
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109416304, 'target_is_minimal': False, 'target_label': '6000.2.a.bg.1.1', 'target_level': 6000, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 47865811
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 1249, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050738414131056, 'target_is_minimal': False, 'target_label': '6000.2.f.o.1249.4', 'target_level': 6000, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
id: 47865812
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 874, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021666517255269, 'target_is_minimal': False, 'target_label': '1125.2.b.g.874.4', 'target_level': 1125, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 47865813
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170407287, 'target_is_minimal': True, 'target_label': '375.2.a.f.1.2', 'target_level': 375, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 47865814
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398543036791, 'target_is_minimal': True, 'target_label': '375.2.a.e.1.3', 'target_level': 375, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
id: 47865815
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 124, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268007772535, 'target_is_minimal': False, 'target_label': '375.2.b.c.124.4', 'target_level': 375, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 47865816
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525197425149029, 'target_is_minimal': False, 'target_label': '1125.2.a.h.1.3', 'target_level': 1125, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
id: 47865817
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934631013, 'target_is_minimal': False, 'target_label': '1125.2.a.l.1.2', 'target_level': 1125, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
id: 47865818
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1249, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 63050738414131056, 'source_is_minimal': False, 'source_label': '6000.2.f.o.1249.5', 'source_level': 6000, 'target_conrey_index': 874, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27021666517255269, 'target_is_minimal': False, 'target_label': '1125.2.b.g.874.5', 'target_level': 1125, 'twist_class_label': '375.2.a.e.1.3', 'twist_class_level': 375, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 4061225
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 63050738414131056, 'p': 2}
id: 4061226
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 63050738414131056, 'p': 3}
id: 4061227
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 63050738414131056, 'p': 5}
id: 4061228
{'charpoly_factorization': [[[6400, 0, 4160, 0, 736, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, 'p': 7}
id: 4061229
{'charpoly_factorization': [[[-16, -88, -12, 6, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 11}
id: 4061230
{'charpoly_factorization': [[[30976, 0, 15680, 0, 1888, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, 'p': 13}
id: 4061231
{'charpoly_factorization': [[[121, 0, 23, 0, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 17}
id: 4061232
{'charpoly_factorization': [[[25, 60, 1, -8, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 19}
id: 4061233
{'charpoly_factorization': [[[3025, 0, 17510, 0, 2491, 0, 102, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, 'p': 23}
id: 4061234
{'charpoly_factorization': [[[80, -40, -36, 6, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 29}
id: 4061235
{'charpoly_factorization': [[[25, 80, -51, 4, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 31}
id: 4061236
{'charpoly_factorization': [[[4000000, 0, 376000, 0, 12816, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, 'p': 37}
id: 4061237
{'charpoly_factorization': [[[-80, -440, 184, -24, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 41}
id: 4061238
{'charpoly_factorization': [[[4946176, 0, 601344, 0, 19936, 0, 244, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, 'p': 43}
id: 4061239
{'charpoly_factorization': [[[101, 0, 23, 0, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 47}
id: 4061240
{'charpoly_factorization': [[[2088025, 0, 286110, 0, 11491, 0, 182, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, 'p': 53}
id: 4061241
{'charpoly_factorization': [[[2320, 320, -144, -2, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 59}
id: 4061242
{'charpoly_factorization': [[[781, 470, -53, -10, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 61}
id: 4061243
{'charpoly_factorization': [[[1290496, 0, 638016, 0, 21856, 0, 256, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, 'p': 67}
id: 4061244
{'charpoly_factorization': [[[656, 392, -96, -12, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 71}
id: 4061245
{'charpoly_factorization': [[[6400, 0, 3840, 0, 736, 0, 52, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, 'p': 73}
id: 4061246
{'charpoly_factorization': [[[725, -500, 25, 20, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 79}
id: 4061247
{'charpoly_factorization': [[[2343961, 0, 468550, 0, 19963, 0, 270, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, 'p': 83}
id: 4061248
{'charpoly_factorization': [[[-2320, -160, 196, 28, 1], 2]], 'hecke_orbit_code': 63050738414131056, 'p': 89}
id: 4061249
{'charpoly_factorization': [[[82882816, 0, 4899776, 0, 90576, 0, 556, 0, 1], 1]], 'hecke_orbit_code': 63050738414131056, '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': 6, 'hecke_orbit': 15, 'label': '6000.2.f.o', 'level': 6000, '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: 60296383
{'hecke_orbit_code': 63050738414131056, 'n': 1, 'trace_an': 8}
id: 60296384
{'hecke_orbit_code': 63050738414131056, 'n': 2, 'trace_an': 0}
id: 60296385
{'hecke_orbit_code': 63050738414131056, 'n': 3, 'trace_an': 0}
id: 60296386
{'hecke_orbit_code': 63050738414131056, 'n': 4, 'trace_an': 0}
id: 60296387
{'hecke_orbit_code': 63050738414131056, 'n': 5, 'trace_an': 0}
id: 60296388
{'hecke_orbit_code': 63050738414131056, 'n': 6, 'trace_an': 0}
id: 60296389
{'hecke_orbit_code': 63050738414131056, 'n': 7, 'trace_an': 0}
id: 60296390
{'hecke_orbit_code': 63050738414131056, 'n': 8, 'trace_an': 0}
id: 60296391
{'hecke_orbit_code': 63050738414131056, 'n': 9, 'trace_an': -8}
id: 60296392
{'hecke_orbit_code': 63050738414131056, 'n': 10, 'trace_an': 0}
id: 60296393
{'hecke_orbit_code': 63050738414131056, 'n': 11, 'trace_an': -12}
id: 60296394
{'hecke_orbit_code': 63050738414131056, 'n': 12, 'trace_an': 0}
id: 60296395
{'hecke_orbit_code': 63050738414131056, 'n': 13, 'trace_an': 0}
id: 60296396
{'hecke_orbit_code': 63050738414131056, 'n': 14, 'trace_an': 0}
id: 60296397
{'hecke_orbit_code': 63050738414131056, 'n': 15, 'trace_an': 0}
id: 60296398
{'hecke_orbit_code': 63050738414131056, 'n': 16, 'trace_an': 0}
id: 60296399
{'hecke_orbit_code': 63050738414131056, 'n': 17, 'trace_an': 0}
id: 60296400
{'hecke_orbit_code': 63050738414131056, 'n': 18, 'trace_an': 0}
id: 60296401
{'hecke_orbit_code': 63050738414131056, 'n': 19, 'trace_an': 16}
id: 60296402
{'hecke_orbit_code': 63050738414131056, 'n': 20, 'trace_an': 0}
id: 60296403
{'hecke_orbit_code': 63050738414131056, 'n': 21, 'trace_an': -8}
id: 60296404
{'hecke_orbit_code': 63050738414131056, 'n': 22, 'trace_an': 0}
id: 60296405
{'hecke_orbit_code': 63050738414131056, 'n': 23, 'trace_an': 0}
id: 60296406
{'hecke_orbit_code': 63050738414131056, 'n': 24, 'trace_an': 0}
id: 60296407
{'hecke_orbit_code': 63050738414131056, 'n': 25, 'trace_an': 0}
id: 60296408
{'hecke_orbit_code': 63050738414131056, 'n': 26, 'trace_an': 0}
id: 60296409
{'hecke_orbit_code': 63050738414131056, 'n': 27, 'trace_an': 0}
id: 60296410
{'hecke_orbit_code': 63050738414131056, 'n': 28, 'trace_an': 0}
id: 60296411
{'hecke_orbit_code': 63050738414131056, 'n': 29, 'trace_an': -12}
id: 60296412
{'hecke_orbit_code': 63050738414131056, 'n': 30, 'trace_an': 0}
id: 60296413
{'hecke_orbit_code': 63050738414131056, 'n': 31, 'trace_an': -8}
id: 60296414
{'hecke_orbit_code': 63050738414131056, 'n': 32, 'trace_an': 0}
id: 60296415
{'hecke_orbit_code': 63050738414131056, 'n': 33, 'trace_an': 0}
id: 60296416
{'hecke_orbit_code': 63050738414131056, 'n': 34, 'trace_an': 0}
id: 60296417
{'hecke_orbit_code': 63050738414131056, 'n': 35, 'trace_an': 0}
id: 60296418
{'hecke_orbit_code': 63050738414131056, 'n': 36, 'trace_an': 0}
id: 60296419
{'hecke_orbit_code': 63050738414131056, 'n': 37, 'trace_an': 0}
id: 60296420
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id: 60296421
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id: 60296634
{'hecke_orbit_code': 63050738414131056, 'n': 961, 'trace_an': -12}
id: 60296635
{'hecke_orbit_code': 63050738414131056, 'n': 967, 'trace_an': 0}
id: 60296636
{'hecke_orbit_code': 63050738414131056, 'n': 971, 'trace_an': -68}
id: 60296637
{'hecke_orbit_code': 63050738414131056, 'n': 977, 'trace_an': 0}
id: 60296638
{'hecke_orbit_code': 63050738414131056, 'n': 983, 'trace_an': 0}
id: 60296639
{'hecke_orbit_code': 63050738414131056, 'n': 991, 'trace_an': 24}
id: 60296640
{'hecke_orbit_code': 63050738414131056, 'n': 997, 'trace_an': 0}

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.