LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-03-12T13:50:06.262444

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': 17600, 'analytic_conductor': 35.13417688936337, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [11, -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': [4400, 1, [2751, 3301, 177, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 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': [[3, [-4, -1, 1]], [7, [-16, 2, 1]], [13, [-16, -2, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755749168, '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': '4400.2.a.bp', 'level': 4400, '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, 11], 'level_radical': 110, 'minimal_twist': '88.2.a.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}-2\\beta q^{7}+(1+\\beta )q^{9}+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': '4400.2.a', 'trace_display': [0, 1, 0, -2], 'trace_hash': 422921317011528628, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.939', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.534', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '66.714', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, 0, 1, 0, 0, 0, -2, 0, 3, 0, 2, 0, 2, 0, 0, 0, -4, 0, 8, 0, -18, 0, 9, 0, 0, 0, 7, 0, -2, 0, 7, 0, 1, 0, 0, 0, 11, 0, -16, 0, 6, 0, -6, 0, 0, 0, 16, 0, 22, 0, -2, 0, -8, 0, 0, 0, 4, 0, 5, 0, -6, 0, -20, 0, 0, 0, 15, 0, 13, 0, 5, 0, -2, 0, 0, 0, -2, 0, 14, 0, -14, 0, 10, 0, 0, 0, 16, 0, -7, 0, 32, 0, -5, 0, 0, 0, -27, 0, 3, 0, -4, 0, 0, 0, 0, 0, -2, 0, 8, 0, -3, 0, 5, 0, 0, 0, -14, 0, 4, 0, 2, 0, 20, 0, 0, 0, -4, 0, 14, 0, -2, 0, -8, 0, 0, 0, 21, 0, -22, 0, 8, 0, 2, 0, 0, 0, 45, 0, -8, 0, -6, 0, -6, 0, 0, 0, 13, 0, 30, 0, -26, 0, -8, 0, 0, 0, 16, 0, 10, 0, 12, 0, -8, 0, 0, 0, 45, 0, 17, 0, -15, 0, -20, 0, 0, 0, -4, 0, 10, 0, 25, 0, 10, 0, 0, 0, -4, 0, -8, 0, -1, 0, -32, 0, 0, 0, 22, 0, 8, 0, 16, 0, -23, 0, 0, 0, 10, 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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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-0.40729773341989356, -0.2756801285762605, -0.17056706001556962, -0.15687327897653774], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.5615528128088303, 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755749168, 'label': '4400.2.a.bp.1.2', 'level': 4400, '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': [10, 13, 15, 9, 11, 11, 13, 13], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [72, 77, 72, 75, 79, 70, 71, 74], 'Nk2': 17600, 'analytic_conductor': 35.13417688936337, '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': [4400, 1, [2751, 3301, 177, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 685, 'dim': 95, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33558832, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '4400.2.a', 'level': 4400, '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, 11], 'level_radical': 110, 'mf_dim': 756, 'mf_new_dim': 95, 'num_forms': 57, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 95, 'sturm_bound': 1440, 'trace_bound': 13, 'trace_display': [0, 2, 0, 4], 'traces': [95, 0, 2, 0, 0, 0, 4, 0, 95, 0, -3, 0, 2, 0, 0, 0, -2, 0, 12, 0, 8, 0, -6, 0, 0, 0, -10, 0, 10, 0, 30, 0, 0, 0, 0, 0, 10, 0, -8, 0, -2, 0, 16, 0, 0, 0, -4, 0, 103, 0, -12, 0, 2, 0, 0, 0, 24, 0, -22, 0, -6, 0, -40, 0, 0, 0, 22, 0, -8, 0, 34, 0, -2, 0, 0, 0, 0, 0, 60, 0, 103, 0, -8, 0, 0, 0, 16, 0, -22, 0, 64, 0, 24, 0, 0, 0, 2, 0, -9, 0, 2, 0, -12, 0, 0, 0, -16, 0, -46, 0, 42, 0, 10, 0, 0, 0, 34, 0, -16, 0, 95, 0, -8, 0, 0, 0, 24, 0, 24, 0, 0, 0, -32, 0, 0, 0, 26, 0, 64, 0, 8, 0, -10, 0, 0, 0, 10, 0, -62, 0, 36, 0, -10, 0, 0, 0, -6, 0, -76, 0, -16, 0, 56, 0, 0, 0, -8, 0, 73, 0, 28, 0, -6, 0, 0, 0, -36, 0, -62, 0, -30, 0, 8, 0, 0, 0, 6, 0, 72, 0, -54, 0, -2, 0, 0, 0, 50, 0, 56, 0, -20, 0, 16, 0, 0, 0, 56, 0, -4, 0, 44, 0, 32, 0, 0, 0, 32, 0, 80, 0, -52, 0, 18, 0, 0, 0, 48, 0, -14, 0, 12, 0, -58, 0, 0, 0, 16, 0, -4, 0, -18, 0, -128, 0, 0, 0, 72, 0, -72, 0, -70, 0, -8, 0, 0, 0, -34, 0, 44, 0, 34, 0, 76, 0, 0, 0, 22, 0, -14, 0, 24, 0, 32, 0, 0, 0, 50, 0, 132, 0, -2, 0, 76, 0, 0, 0, -160, 0, 69, 0, 90, 0, -102, 0, 0, 0, -12, 0, -24, 0, 32, 0, 36, 0, 0, 0, 12, 0, -24, 0, 120, 0, 2, 0, 0, 0, 18, 0, 10, 0, -112, 0, -88, 0, 0, 0, 108, 0, -16, 0, 158, 0, -62, 0, 0, 0, -66, 0, 162, 0, -16, 0, 104, 0, 0, 0, 28, 0, 18, 0, -136, 0, 10, 0, 0, 0, 96, 0, 24, 0, 107, 0, 2, 0, 0, 0, -22, 0, 30, 0, -56, 0, 10, 0, 0, 0, -20, 0, -82, 0, 40, 0, -110, 0, 0, 0, 28, 0, -78, 0, -188, 0, 64, 0, 0, 0, 10, 0, 120, 0, -10, 0, -48, 0, 0, 0, -16, 0, -26, 0, -134, 0, 40, 0, 0, 0, 48, 0, -76, 0, 18, 0, -92, 0, 0, 0, -96, 0, -16, 0, -116, 0, 10, 0, 0, 0, 40, 0, -184, 0, 55, 0, 14, 0, 0, 0, -132, 0, 82, 0, -18, 0, -144, 0, 0, 0, 22, 0, 124, 0, -14, 0, 86, 0, 0, 0, -18, 0, -56, 0, 310, 0, 4, 0, 0, 0, -30, 0, -8, 0, 76, 0, -180, 0, 0, 0, -54, 0, 0, 0, 60, 0, -12, 0, 0, 0, -96, 0, 52, 0, -232, 0, -84, 0, 0, 0, 102, 0, -206, 0, 72, 0, 40, 0, 0, 0, 0, 0, -124, 0, 10, 0, -12, 0, 0, 0, -4, 0, 99, 0, 104, 0, 4, 0, 0, 0, -4, 0, -19, 0, -102, 0, -14, 0, 0, 0, -148, 0, -126, 0, -120, 0, 96, 0, 0, 0, -126, 0, 48, 0, 24, 0, -132, 0, 0, 0, 148, 0, 46, 0, -44, 0, -80, 0, 0, 0, -46, 0, -352, 0, -16, 0, -26, 0, 0, 0, 112, 0, -56, 0, 36, 0, 62, 0, 0, 0, -104, 0, 120, 0, -42, 0, 292, 0, 0, 0, -60, 0, 16, 0, -168, 0, -30, 0, 0, 0, -58, 0, -26, 0, -120, 0, 28, 0, 0, 0, -8, 0, -44, 0, -186, 0, 128, 0, 0, 0, -14, 0, -124, 0, 2, 0, 166, 0, 0, 0, 54, 0, 8, 0, 196, 0, -46, 0, 0, 0, -18, 0, 24, 0, -158, 0, -80, 0, 0, 0, 40, 0, -208, 0, 42, 0, 86, 0, 0, 0, -54, 0, 116, 0, -16, 0, -160, 0, 0, 0, 154, 0, 132, 0, 58, 0, 40, 0, 0, 0, -20, 0, -16, 0, -30, 0, 192, 0, 0, 0, 8, 0, -62, 0, 304, 0, -76, 0, 0, 0, 16, 0, -170, 0, 64, 0, 352, 0, 0, 0, -134, 0, 251, 0, -144, 0, -22, 0, 0, 0, 16, 0, 208, 0, 64, 0, 32, 0, 0, 0, -44, 0, 16, 0, 122, 0, 68, 0, 0, 0, -94, 0, 114, 0, 150, 0, 24, 0, 0, 0, 72, 0, -42, 0, -92, 0, -62, 0, 0, 0, 128, 0, -128, 0, 16, 0, 128, 0, 0, 0, -124, 0, -152, 0, -372, 0, 108, 0, 0, 0, 18, 0, 128, 0, 14, 0, 50, 0, 0, 0, 100, 0, 110, 0, -408, 0, -120, 0, 0, 0, 128, 0, 488, 0, 18, 0, -286, 0, 0, 0, 12, 0, 10, 0, -292, 0, 110, 0, 0, 0, -40, 0, -170, 0, 145, 0, -4, 0, 0, 0, 4, 0, 48, 0, 174, 0, 146, 0, 0, 0, -106, 0, -166, 0, -80, 0, -116, 0, 0, 0, -74, 0, 0, 0, 200, 0, 134, 0, 0, 0, -46, 0, 48, 0, -30, 0, 24, 0, 0, 0, -100, 0, 80, 0, -59, 0, 112, 0, 0, 0, 24, 0, -144, 0, -164, 0, 200, 0, 0, 0, -144, 0, -14, 0, 344, 0, -20, 0, 0, 0, -16, 0, -356, 0, 24, 0, -192, 0, 0, 0, -116, 0, -58, 0, 204, 0, -88, 0, 0, 0, 30, 0, 70, 0, -30, 0, -288, 0, 0, 0, 214, 0, -52, 0, 182, 0, -106, 0, 0, 0, 40, 0, 60, 0, 139, 0, -204, 0, 0, 0, 8, 0, 0, 0, -298, 0, -64, 0, 0, 0, 42, 0, 16, 0, -134, 0, 26, 0, 0, 0, -256, 0, -64, 0, -152, 0, -36, 0, 0, 0, 58, 0, 182, 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: 48948682
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584755749168, 'target_is_minimal': False, 'target_label': '4400.2.a.bp.1.2', 'target_level': 4400, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 48948683
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816743576, 'target_is_minimal': False, 'target_label': '2200.2.a.o.1.1', 'target_level': 2200, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48948684
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575660927815984, 'target_is_minimal': False, 'target_label': '4400.2.b.v.4049.1', 'target_level': 4400, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 48948685
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 94575660927815984, 'target_is_minimal': False, 'target_label': '4400.2.b.v.4049.4', 'target_level': 4400, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48948686
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666096, 'target_is_minimal': False, 'target_label': '176.2.a.d.1.1', 'target_level': 176, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
id: 48948687
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953595440, 'target_is_minimal': False, 'target_label': '1584.2.a.t.1.2', 'target_level': 1584, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
id: 48948688
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021666517256344, 'target_is_minimal': False, 'target_label': '2200.2.b.g.1849.1', 'target_level': 2200, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48948689
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27021666517256344, 'target_is_minimal': False, 'target_label': '2200.2.b.g.1849.4', 'target_level': 2200, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
id: 48948690
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503599660925016, 'target_is_minimal': True, 'target_label': '88.2.a.b.1.2', 'target_level': 88, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 48948691
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 238690780284199344, 'target_is_minimal': False, 'target_label': '8624.2.a.cb.1.2', 'target_level': 8624, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
id: 48948692
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001088, 'target_is_minimal': False, 'target_label': '704.2.a.m.1.1', 'target_level': 704, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 48948693
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444112576, 'target_is_minimal': False, 'target_label': '704.2.a.p.1.2', 'target_level': 704, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
id: 48948694
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854800, 'target_is_minimal': False, 'target_label': '1936.2.a.r.1.1', 'target_level': 1936, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
id: 48948695
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425148696, 'target_is_minimal': False, 'target_label': '792.2.a.h.1.2', 'target_level': 792, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
id: 48948696
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 99079329274661632, 'target_is_minimal': False, 'target_label': '2816.2.c.w.1409.4', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '80.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 48948697
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67554131883068160, 'target_is_minimal': False, 'target_label': '2816.2.c.p.1409.1', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '80.29', 'twisting_conrey_index': 29, 'weight': 2}
id: 48948698
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079329274661632, 'target_is_minimal': False, 'target_label': '2816.2.c.w.1409.1', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '80.59', 'twisting_conrey_index': 59, 'weight': 2}
id: 48948699
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554131883068160, 'target_is_minimal': False, 'target_label': '2816.2.c.p.1409.4', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '80.69', 'twisting_conrey_index': 69, 'weight': 2}
id: 48948700
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 337769972086347968, 'target_is_minimal': False, 'target_label': '6336.2.a.cx.1.1', 'target_level': 6336, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 2}
id: 48948701
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 324259173204236480, 'target_is_minimal': False, 'target_label': '6336.2.a.cu.1.1', 'target_level': 6336, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 2}
id: 48948702
{'conductor': 140, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189375192, 'target_is_minimal': False, 'target_label': '4312.2.a.n.1.1', 'target_level': 4312, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '140.139', 'twisting_conrey_index': 139, 'weight': 2}
id: 48948703
{'conductor': 220, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.9.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '220.19', 'twisting_conrey_index': 19, 'weight': 2}
id: 48948704
{'conductor': 220, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 729, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.729.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '220.39', 'twisting_conrey_index': 39, 'weight': 2}
id: 48948705
{'conductor': 220, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 753, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.753.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '220.59', 'twisting_conrey_index': 59, 'weight': 2}
id: 48948706
{'conductor': 220, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.81.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '220.79', 'twisting_conrey_index': 79, 'weight': 2}
id: 48948707
{'conductor': 220, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.81.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '220.119', 'twisting_conrey_index': 119, 'weight': 2}
id: 48948708
{'conductor': 220, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 753, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.753.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '220.139', 'twisting_conrey_index': 139, 'weight': 2}
id: 48948709
{'conductor': 220, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 729, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.729.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '220.159', 'twisting_conrey_index': 159, 'weight': 2}
id: 48948710
{'conductor': 220, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.9.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '220.179', 'twisting_conrey_index': 179, 'weight': 2}
id: 48948711
{'conductor': 220, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679889864, 'target_is_minimal': False, 'target_label': '968.2.a.j.1.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '220.219', 'twisting_conrey_index': 219, 'weight': 2}
id: 48948712
{'conductor': 440, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 283726776557903424, 'target_is_minimal': False, 'target_label': '7744.2.a.cl.1.2', 'target_level': 7744, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '440.109', 'twisting_conrey_index': 109, 'weight': 2}
id: 48948713
{'conductor': 440, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981402086976, 'target_is_minimal': False, 'target_label': '7744.2.a.by.1.1', 'target_level': 7744, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '440.219', 'twisting_conrey_index': 219, 'weight': 2}
id: 48948714
{'conductor': 660, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755749168, 'source_is_minimal': False, 'source_label': '4400.2.a.bp.1.2', 'source_level': 4400, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972566536, 'target_is_minimal': False, 'target_label': '8712.2.a.bb.1.2', 'target_level': 8712, 'twist_class_label': '88.2.a.b.1.2', 'twist_class_level': 88, 'twisting_char_label': '660.659', 'twisting_conrey_index': 659, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 3589450
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 184647584755749168, 'p': 2}
id: 3589451
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 3}
id: 3589452
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 184647584755749168, 'p': 5}
id: 3589453
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 7}
id: 3589454
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 184647584755749168, 'p': 11}
id: 3589455
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 13}
id: 3589456
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 184647584755749168, 'p': 17}
id: 3589457
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 184647584755749168, 'p': 19}
id: 3589458
{'charpoly_factorization': [[[16, -9, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 23}
id: 3589459
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 29}
id: 3589460
{'charpoly_factorization': [[[8, -7, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 31}
id: 3589461
{'charpoly_factorization': [[[26, -11, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 37}
id: 3589462
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 41}
id: 3589463
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 43}
id: 3589464
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 184647584755749168, 'p': 47}
id: 3589465
{'charpoly_factorization': [[[-52, 8, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 53}
id: 3589466
{'charpoly_factorization': [[[-100, -5, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 59}
id: 3589467
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 61}
id: 3589468
{'charpoly_factorization': [[[52, -15, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 67}
id: 3589469
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 71}
id: 3589470
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 73}
id: 3589471
{'charpoly_factorization': [[[32, -14, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 79}
id: 3589472
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 83}
id: 3589473
{'charpoly_factorization': [[[-26, 7, 1], 1]], 'hecke_orbit_code': 184647584755749168, 'p': 89}
id: 3589474
{'charpoly_factorization': [[[178, 27, 1], 1]], 'hecke_orbit_code': 184647584755749168, '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': 42, 'label': '4400.2.a.bp', 'level': 4400, '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: 70687075
{'hecke_orbit_code': 184647584755749168, 'n': 1, 'trace_an': 2}
id: 70687076
{'hecke_orbit_code': 184647584755749168, 'n': 2, 'trace_an': 0}
id: 70687077
{'hecke_orbit_code': 184647584755749168, 'n': 3, 'trace_an': 1}
id: 70687078
{'hecke_orbit_code': 184647584755749168, 'n': 4, 'trace_an': 0}
id: 70687079
{'hecke_orbit_code': 184647584755749168, 'n': 5, 'trace_an': 0}
id: 70687080
{'hecke_orbit_code': 184647584755749168, 'n': 6, 'trace_an': 0}
id: 70687081
{'hecke_orbit_code': 184647584755749168, 'n': 7, 'trace_an': -2}
id: 70687082
{'hecke_orbit_code': 184647584755749168, 'n': 8, 'trace_an': 0}
id: 70687083
{'hecke_orbit_code': 184647584755749168, 'n': 9, 'trace_an': 3}
id: 70687084
{'hecke_orbit_code': 184647584755749168, 'n': 10, 'trace_an': 0}
id: 70687085
{'hecke_orbit_code': 184647584755749168, 'n': 11, 'trace_an': 2}
id: 70687086
{'hecke_orbit_code': 184647584755749168, 'n': 12, 'trace_an': 0}
id: 70687087
{'hecke_orbit_code': 184647584755749168, 'n': 13, 'trace_an': 2}
id: 70687088
{'hecke_orbit_code': 184647584755749168, 'n': 14, 'trace_an': 0}
id: 70687089
{'hecke_orbit_code': 184647584755749168, 'n': 15, 'trace_an': 0}
id: 70687090
{'hecke_orbit_code': 184647584755749168, 'n': 16, 'trace_an': 0}
id: 70687091
{'hecke_orbit_code': 184647584755749168, 'n': 17, 'trace_an': -4}
id: 70687092
{'hecke_orbit_code': 184647584755749168, 'n': 18, 'trace_an': 0}
id: 70687093
{'hecke_orbit_code': 184647584755749168, 'n': 19, 'trace_an': 8}
id: 70687094
{'hecke_orbit_code': 184647584755749168, 'n': 20, 'trace_an': 0}
id: 70687095
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{'hecke_orbit_code': 184647584755749168, 'n': 827, 'trace_an': 28}
id: 70687307
{'hecke_orbit_code': 184647584755749168, 'n': 829, 'trace_an': 59}
id: 70687308
{'hecke_orbit_code': 184647584755749168, 'n': 839, 'trace_an': 19}
id: 70687309
{'hecke_orbit_code': 184647584755749168, 'n': 841, 'trace_an': -22}
id: 70687310
{'hecke_orbit_code': 184647584755749168, 'n': 853, 'trace_an': 60}
id: 70687311
{'hecke_orbit_code': 184647584755749168, 'n': 857, 'trace_an': 14}
id: 70687312
{'hecke_orbit_code': 184647584755749168, 'n': 859, 'trace_an': -23}
id: 70687313
{'hecke_orbit_code': 184647584755749168, 'n': 863, 'trace_an': -40}
id: 70687314
{'hecke_orbit_code': 184647584755749168, 'n': 877, 'trace_an': -86}
id: 70687315
{'hecke_orbit_code': 184647584755749168, 'n': 881, 'trace_an': 15}
id: 70687316
{'hecke_orbit_code': 184647584755749168, 'n': 883, 'trace_an': -16}
id: 70687317
{'hecke_orbit_code': 184647584755749168, 'n': 887, 'trace_an': 22}
id: 70687318
{'hecke_orbit_code': 184647584755749168, 'n': 907, 'trace_an': 0}
id: 70687319
{'hecke_orbit_code': 184647584755749168, 'n': 911, 'trace_an': 4}
id: 70687320
{'hecke_orbit_code': 184647584755749168, 'n': 919, 'trace_an': -38}
id: 70687321
{'hecke_orbit_code': 184647584755749168, 'n': 929, 'trace_an': 60}
id: 70687322
{'hecke_orbit_code': 184647584755749168, 'n': 937, 'trace_an': 10}
id: 70687323
{'hecke_orbit_code': 184647584755749168, 'n': 941, 'trace_an': -48}
id: 70687324
{'hecke_orbit_code': 184647584755749168, 'n': 947, 'trace_an': -13}
id: 70687325
{'hecke_orbit_code': 184647584755749168, 'n': 953, 'trace_an': 16}
id: 70687326
{'hecke_orbit_code': 184647584755749168, 'n': 961, 'trace_an': -29}
id: 70687327
{'hecke_orbit_code': 184647584755749168, 'n': 967, 'trace_an': 16}
id: 70687328
{'hecke_orbit_code': 184647584755749168, 'n': 971, 'trace_an': -1}
id: 70687329
{'hecke_orbit_code': 184647584755749168, 'n': 977, 'trace_an': -87}
id: 70687330
{'hecke_orbit_code': 184647584755749168, 'n': 983, 'trace_an': 33}
id: 70687331
{'hecke_orbit_code': 184647584755749168, 'n': 991, 'trace_an': -24}
id: 70687332
{'hecke_orbit_code': 184647584755749168, 'n': 997, 'trace_an': -88}

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.