LMFDB - Embedded newform data - 1638.2.m.h.1621.1

Formats: - HTML - YAML - JSON - 2024-06-01T05:08:22.326096

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': 6552, 'analytic_conductor': 13.079495851085728, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 91, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 3, 'char_parity': 1, 'char_values': [1638, 3, [911, 703, 379], [3, 1, 1]], 'cm_discs': [], 'conrey_index': 289, 'dim': 8, 'field_disc': 447703281, 'field_disc_factorization': [[3, 4], [2351, 2]], 'field_poly': [16, -8, -8, 4, 3, 2, -2, -1, 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': [[5, [49, -28, 65, 0, 50, -6, 11, 2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526022058870374, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 91, 8, 1, 3, 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': '1638.2.m.h', 'level': 1638, '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, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.j.c', 'nf_label': '8.0.447703281.1', 'prim_orbit_index': 8, 'qexp_display': 'q-q^{2}+q^{4}+(-1+\\beta _{2}+\\beta _{3}-\\beta _{4}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1638.2.m', 'trace_display': [-8, 0, -2, 3], 'trace_hash': 761021934915014776, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.144', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.285', 'prec': 17}, {'__RealLiteral__': 0, 'data': '280.403', 'prec': 24}, {'__RealLiteral__': 0, 'data': '237.659', 'prec': 24}, {'__RealLiteral__': 0, 'data': '16633.052', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [8, -8, 0, 8, -2, 0, 3, -8, 0, 2, -4, 0, 3, -3, 0, 8, -4, 0, -4, -2, 0, 4, 8, 0, 2, -3, 0, 3, -2, 0, 14, -8, 0, 4, 22, 0, 12, 4, 0, 2, -12, 0, 0, -4, 0, -8, -7, 0, 5, -2, 0, 3, 1, 0, -25, -3, 0, 2, 32, 0, -4, -14, 0, 8, -10, 0, 19, -4, 0, -22, -20, 0, -7, -12, 0, -4, 24, 0, 24, -2, 0, 12, 64, 0, 15, 0, 0, 4, -22, 0, -38, 8, 0, 7, 56, 0, 11, -5, 0, 2, 24, 0, -14, -3, 0, -1, 54, 0, 14, 25, 0, 3, -6, 0, 1, -2, 0, -32, 7, 0, 0, 4, 0, 14, 36, 0, -13, -8, 0, 10, 17, 0, 44, -19, 0, 4, -10, 0, 27, 22, 0, 20, -27, 0, 18, 7, 0, 12, -5, 0, -2, 4, 0, -24, -34, 0, 30, -24, 0, 2, 22, 0, -5, -12, 0, -64, 14, 0, -31, -15, 0, 0, -15, 0, 26, -4, 0, 22, -6, 0, -8, 38, 0, -8, -9, 0, 38, -7, 0, -56, -29, 0, -26, -11, 0, 5, -45, 0, 26, -2, 0, -24, 11, 0, 74, 14, 0, 3, 62, 0, 29, 1, 0, -54, -19, 0, -69, -14, 0, -25, 56, 0, -17, -3, 0, 6, -90, 0, 14, -1, 0, 2, -27, 0, 35, 32, 0, -7, -10, 0, -2, 0, 0, -4, 16, 0, -5, -14, 0, -36, 6, 0, -17, 13, 0, 8, 14, 0, -10, -10, 0, -17, -2, 0, -2, -44, 0, 19, 18, 0, 20, -4, 0, 10, 110, 0, -28, -27, 0, -22, 12, 0, -4, -20, 0, 27, -21, 0, 48, -18, 0, -7, -11, 0, -50, -12, 0, 5, -64, 0, 50, 2, 0, -4, 60, 0, -30, 24, 0, 34, 15, 0, -13, -30, 0, 24, 38, 0, -44, -2, 0, -22, -39, 0, 49, 5, 0, 12, -49, 0, -4, 64, 0, -14, -52, 0, 54, 31, 0, 15, -92, 0, -54, 0, 0, 15, -36, 0, -75, -26, 0, 4, 1, 0, 30, -22, 0, 6, -12, 0, -22, 8, 0, -38, -50, 0, -47, 8, 0, 9, -114, 0, 71, -38, 0, 7, -98, 0, 27, 56, 0, 29, -29, 0, 72, 26, 0, 11, 15, 0, -158, -5, 0, 45, -40, 0, -45, -26, 0, 2, 54, 0, -117, 24, 0, -11, -23, 0, 12, -74, 0, -14, -37, 0, 7, -3, 0, -62, 49, 0, -12, -29, 0, -1, 57, 0, -50, 54, 0, 19, -100, 0, -12, 69, 0, 14, 63, 0, -122, 25, 0, -56, -46, 0, 12, 17, 0, 3, -8, 0, 142, -6, 0, 90, 86, 0, -152, -14, 0, 1, -23, 0, -166, -2, 0, 27, 17, 0, 85, -35, 0, -32, -25, 0, -26, 7, 0, 10, -6, 0, -14, 2, 0, 0, -42, 0, -168, 4, 0, -16, 114, 0, -106, 5, 0, 14, -118, 0, 53, 36, 0, -6, -37, 0, 28, 17, 0, -13, 96, 0, -64, -8, 0, -14, -69, 0, 41, 10, 0, 10, -11, 0, -98, 17, 0, 2, -4, 0, -16, 2, 0, 44, 54, 0, -24, -19, 0, -18, -31, 0, 12, -20, 0, 4, 56, 0, -22, -10, 0, -110, -93, 0, 128, 28, 0, 27, 89, 0, 43, 22, 0, -12, -86, 0, 17, 4, 0, 20, -62, 0, 44, -27, 0, 21, -27, 0, -47, -48, 0, 18, 66, 0, 2, 7, 0, 11, -27, 0, 59, 50, 0, 12, -33, 0, -33, -5, 0, 64, 37, 0, -13, -50, 0, -2, 238, 0, -68, 4, 0, -60, 7, 0, 113, 30, 0, -24, 28, 0, -74, -34, 0, -15, 64, 0, 4, 13, 0, 30, -50, 0, -3, -24, 0, -38, -68, 0, -132, 44, 0, 2, 228, 0, 54, 22, 0, 39, 22, 0, -81, -49, 0, -5, 204, 0, 90, -12, 0, 49, -27, 0, 3, 4, 0, -64, -31, 0, 113, 14, 0, 52, 152, 0, -106, -54, 0, -31, 106, 0, 69, -15, 0, 92, -22, 0, 72, 54, 0, 0, -51, 0, 164, -15, 0, 36, 75, 0, 111, 75, 0, 26, -30, 0, -7, -4, 0, -1, 34, 0, -53, -30, 0, 22, 1, 0, 159, -6, 0, 12, -61, 0, 80, 22, 0, -8, 57, 0, -8, 38, 0, 50, 61, 0, 74, 47, 0, -8, -69, 0, 12, -9, 0, 114, -76, 0, 8, -71, 0, 38, -11, 0, 186, -7, 0, 98, -132, 0, 31, -27, 0, -56, -3, 0, -68, -29, 0, 29, -8, 0, -4, -72, 0, -26, -10, 0, 47, -11, 0, -15, 3, 0, -11, 158, 0, 5, 194, 0, -14, -45, 0, 40, -94, 0, 74, 45, 0, 26, -7, 0, 3, -2, 0, -54, -126, 0, 38, 117, 0, -24, -5, 0, 100, 11, 0, 23, -18, 0, -34, -12, 0, 74, 132, 0, -22, 14, 0, 37, -244, 0, 35, -7, 0, 3, -217, 0, 32, 62, 0, -49, -52, 0, -72, 12, 0, 29, 64, 0, 133, 1, 0, -57, 44, 0, 44, 50, 0, -54, -18, 0, -84, -19, 0, 100, -27, 0, 170, 12, 0, -69, -19, 0, 14, -14, 0, -63, 3, 0, -23, 122, 0, -25, -11, 0, 88, 56, 0, 46, 0, 0, -133, -12, 0, -17, -158, 0, -95, -3, 0, 8, -14, 0, 121, -142, 0, 6, 4, 0, 9, -90, 0, -86, 10, 0, 8, 152, 0, 14, -124, 0, 56, -1, 0, 23, -146, 0, -25, 166, 0, 2, -63, 0, 17, -27, 0, -17, 101, 0, -150, -85, 0, 35, -5, 0, -86, 32, 0, 25, -82, 0, -98, 26, 0, -7, -12, 0, 44, -10, 0, 6, 104, 0, -16, 14, 0, -2, 30, 0, -62, 0, 0, 42, 26, 0, -27, 168, 0, -4, -105, 0, 26, 16, 0, -114, 45, 0, 56, 106, 0, -5, -42, 0, 41, -14, 0, 118, 33, 0, -24, -53, 0, -36, 112, 0, -210, 6, 0, 37, 121, 0, -118, -28, 0, -17, 27, 0, 147, 13, 0, -96, -134, 0, -78, 64, 0, 8, -81, 0, 136, 14, 0, 69, -25, 0, -40, -41, 0, -10, 184, 0, -98, -10, 0, 11, -161, 0, -115, 98, 0, -17, -38, 0, 16, -2, 0, 4, 124, 0, -92, 16, 0, -2, -75, 0, 47, -44, 0, -54, -84, 0, -114, 24, 0, 19, 29, 0, 62, 18, 0, 31, 33, 0, -45, -12, 0, 20, 201, 0, -32, -4, 0, -56, -94, 0, 36, 22, 0, 10, -124, 0, 93, 110, 0, 93, -13, 0, 135, -128, 0, -28, -42, 0, 73, -27, 0, -89, -30, 0, 38, -43, 0, -22, -26, 0, 16, 12, 0, 86, 197, 0, -80, -17, 0, -4, -89, 0, 29, -20, 0, 62, 27, 0, -2, -44, 0, 27, 34, 0, 43, -21, 0, 27, 18, 0, -117, 47, 0, 48, -55, 0, 78, -18, 0, -66, 22, 0, -102, -2, 0, -7, -32, 0, 89, -11, 0, 27, -122, 0, -46, -59, 0, -50, 48, 0, -39, -12, 0, 33, 358, 0, 93, 33, 0, 5, -15, 0, -39, -64, 0, -37, 12, 0, 73, 13, 0, 50, -51, 0, 17, 2, 0, -238, 18, 0, -24, 68, 0, -4, 110, 0, -121, 60, 0, -7, 132, 0, -85, -113, 0, -30, -74, 0, 15, 24, 0, -28, -92, 0, -112, 74, 0, 34, -57, 0, -7, 15, 0, -64, -70, 0, 69, -4, 0, -13, 156, 0, -84, -30, 0, 50, 37, 0, 12, 3, 0, 24, -51, 0, 105, 38, 0, 68, 49, 0, 188, 132, 0, -44, 61, 0, 78, -2, 0, -228, -44, 0, 46, -54, 0, -22, -69, 0, 70, -39, 0, -22, 44, 0, 34, 81, 0, 49, 160, 0, 106, 5, 0, -204, -2, 0, -23, -90, 0, 12, 152, 0, -32, -49, 0, 27, 6, 0, 16, -3, 0, -4, -5, 0, -69, 64, 0, 31, 342, 0, 74, -113, 0, -14, -103, 0, -47, -52, 0, -152, 25, 0, -115, 106, 0, 54, -72, 0, -136, 31, 0, -106, -123, 0, 142, -69, 0, 15, -48, 0, -108, -92, 0, 22, 180, 0, -256, -72, 0, -54, -20, 0, -32, 0, 0, 51, -9, 0, 238, -164, 0, 15, 36, 0, 31, -36, 0, -75, 26, 0, -31, -111, 0, -75, -96, 0, -8, -26, 0, 30, -158, 0, -11, 7, 0, 4, -35, 0, 40, 1, 0, -34, 50, 0, -163, 53, 0, 30, 97, 0, -27, -22, 0, -1, -35, 0, 278, -159, 0, 6, -100, 0, -218, -12, 0, 61, -126, 0, 61, -80, 0, -22, 37, 0, 82, 8, 0, -57, -67, 0, -65, 8, 0, -38, 26, 0, -100, -50, 0, -61, -157, 0, -17, -74, 0, -47, -137, 0, 47, 8, 0, 69, -80, 0, -11, -12, 0, 9, 8, 0, -260, -114, 0, 76, -47, 0, -115, -8, 0, 71, 4, 0, -65, -38, 0, 11, -4, 0, 68, -186, 0, 7, 24, 0, 112, -98, 0, 132, 48, 0, -188, -31, 0, 27, -46, 0, 2, 56, 0, 3, -82, 0, -114, 68, 0, 29, 72, 0, 18, -29, 0, 8, -119, 0, 128, 4, 0, 72, 44, 0, 36, 26, 0, 10, -23, 0, -240, -47, 0, 11, -48, 0, 170, 15, 0, -3, -8, 0, 280, 11, 0, -158, -63, 0, -34, -5, 0, -194, 13, 0, 176, 14, 0, 45, -5, 0, -224, -40, 0, 94, -19, 0, -64, -74, 0, -45, 15, 0, -6, -26, 0, 7, 58, 0, 27, -3, 0, 2, 272, 0, -122, 54, 0, 126, -8, 0, 75, -38, 0, -117, 87, 0, -342, 24, 0, 5, 38, 0, -46, -100, 0, -11, -87, 0, -60, -23, 0, 18, 183, 0, -67, 34, 0, 12, 152, 0, 18, -74, 0, -132, -115, 0, -31, 22, 0, -14, 116, 0, -38, -37, 0, 244, -266, 0, -71, -35, 0, 7, -232, 0, 55, -3, 0, 217, -21, 0, -77, -32, 0, -62, 34, 0, 248, 49, 0, 52, 25, 0, -8, 72, 0, -12, -72, 0, -94, -29, 0, -64, 132, 0, -1, -133, 0, -1, 64, 0, -148, 57, 0, -44, 22, 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-16, 0, 27, 4, 0, 105, -55, 0, 234, -26, 0, -16, -1, 0, -94, 114, 0, -45, -89, 0, -112, -56, 0, -106, 28, 0, 92, 5, 0, 42, 68, 0, -84, -41, 0, 14, -66, 0, -28, -118, 0, -33, 71, 0, 137, 24, 0, 53, 90, 0, -6, 36], 'weight': 2, 'weight_parity': 1}

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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-0.21296899815077658, 0.23160401644570458, 0.18891763050605292, -0.36781095493413574, -0.4589532513545647, -0.10416619689633715, -0.07142049715526808, -0.19362933706646673, 0.19575300923814143, -0.4459624618313521, -0.11463778366663155, -0.47330254976866354, -0.24173305446694526, -0.09485184684632583, -0.03917883482633685, -0.03603862305085823, -0.29411903125661243, -0.38654801898257307, -0.09852070856582466, -0.15219054271046903, -0.31944601966726693, -0.06181101410863859, -0.3304975224047427, -0.2116724834131581, -0.2864856373990983, -0.45806529976811605, -0.00043331685677342445, -0.05807510539687439], 'char_orbit_index': 13, 'conrey_index': 1621, 'dual_conrey_index': 289, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 5, 'embedding_root_imag': 0.2986681397715428, 'embedding_root_real': -1.3823159343237732, 'hecke_orbit': 8, 'hecke_orbit_code': 31526022058870374, 'label': '1638.2.m.h.1621.1', 'level': 1638, '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

{'Nk2': 6552, 'analytic_conductor': 13.079495851085728, 'char_conductor': 91, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 3, 'char_parity': 1, 'char_values': [1638, 3, [911, 703, 379], [3, 1, 1]], 'conrey_index': 289, 'cusp_dim': 640, 'dim': 92, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 824667276902, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 6, 8, 8, 8, 10, 10, 16, 16], 'label': '1638.2.m', 'level': 1638, '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, 7, 13], 'level_radical': 546, 'mf_dim': 704, 'mf_new_dim': 92, 'num_forms': 13, 'prim_orbit_index': 8, 'relative_dim': 46, 'sturm_bound': 672, 'trace_bound': 7, 'trace_display': [0, 0, 0, -2], 'traces': [92, 0, 0, 92, 0, 0, -2, 0, 0, -4, 6, 0, -2, 0, 0, 92, -20, 0, 4, 0, 0, 2, 16, 0, -46, 10, 0, -2, -6, 0, 18, 0, 0, 0, 4, 0, 0, 14, 0, -4, -2, 0, -20, 6, 0, 0, 18, 0, 14, 4, 0, -2, 20, 0, -14, 0, 0, 16, 16, 0, -12, 0, 0, 92, -38, 0, 0, -20, 0, 8, -18, 0, -8, -24, 0, 4, 38, 0, 22, 0, 0, 0, 28, 0, -12, -6, 0, 2, -12, 0, -42, 16, 0, -8, 72, 0, -50, -24, 0, -46, 34, 0, -10, 10, 0, 10, 36, 0, -24, 40, 0, -2, -8, 0, 24, -6, 0, 60, 84, 0, -70, -6, 0, 18, 48, 0, -56, 0, 0, 12, 16, 0, 26, 0, 0, 0, 32, 0, 22, 4, 0, 8, -12, 0, -80, 28, 0, 0, -4, 0, 32, 14, 0, -38, -84, 0, -24, 8, 0, -4, 24, 0, 26, -2, 0, 44, 24, 0, -60, -8, 0, -20, 30, 0, 14, 6, 0, 104, -12, 0, -64, 102, 0, 0, 58, 0, 94, 18, 0, 32, 4, 0, -40, 40, 0, 14, -42, 0, 52, 4, 0, -28, 96, 0, -76, 44, 0, -2, -168, 0, 24, 20, 0, 32, -76, 0, -6, 18, 0, -14, -92, 0, 16, 0, 0, -40, -124, 0, -6, 82, 0, 16, -24, 0, -26, 16, 0, -22, 92, 0, 0, -24, 0, -12, -228, 0, 50, 0, 0, -12, -54, 0, 0, 14, 0, 92, -228, 0, -122, -38, 0, 46, 66, 0, -60, 44, 0, 0, -72, 0, 56, -20, 0, -56, -224, 0, -48, -26, 0, 8, -104, 0, -74, -18, 0, -98, -32, 0, -40, -208, 0, -8, -78, 0, -114, -24, 0, 6, 84, 0, -78, -4, 0, 4, -116, 0, -228, 38, 0, 84, -6, 0, -66, -20, 0, 22, -18, 0, -60, 0, 0, -60, 24, 0, -218, 80, 0, 0, -168, 0, 50, 28, 0, -26, 14, 0, -192, -88, 0, -12, -300, 0, 136, -6, 0, 54, 64, 0, -52, -76, 0, 2, -72, 0, 66, -12, 0, -10, 34, 0, -12, -48, 0, -42, 152, 0, -68, 16, 0, -52, 62, 0, -56, 60, 0, -8, -132, 0, 8, 72, 0, 6, 224, 0, 2, -24, 0, -50, 30, 0, 104, -24, 0, -28, -86, 0, 28, 80, 0, -46, 216, 0, 122, 34, 0, 154, 134, 0, 108, 120, 0, -10, -84, 0, 100, 10, 0, -136, 180, 0, 172, -124, 0, 10, 100, 0, 46, 36, 0, -56, -78, 0, 52, -112, 0, -24, 102, 0, 40, 40, 0, 40, -54, 0, -40, 84, 0, -2, -58, 0, 208, -8, 0, 160, 246, 0, 108, 2, 0, 24, 216, 0, -4, -6, 0, -36, 78, 0, -62, -24, 0, 60, 46, 0, 142, 84, 0, -52, -4, 0, -146, -232, 0, -70, -66, 0, 40, -6, 0, -100, 78, 0, 50, -114, 0, 18, -104, 0, 22, 48, 0, -32, 8, 0, 126, 72, 0, -56, 384, 0, 228, 0, 0, -184, -194, 0, -78, 102, 0, 12, -16, 0, 212, 16, 0, 4, 70, 0, -36, -136, 0, 26, 4, 0, -10, 0, 0, -80, 78, 0, -44, -72, 0, 0, -160, 0, 92, 32, 0, -64, -56, 0, 44, -276, 0, 22, 194, 0, 68, 4, 0, -104, 228, 0, -226, -60, 0, 8, 196, 0, -16, -12, 0, 50, -82, 0, -252, -208, 0, -80, -86, 0, -424, 28, 0, -14, -68, 0, -20, 62, 0, 0, 0, 0, 176, -4, 0, -22, 214, 0, -24, -86, 0, 32, 196, 0, 226, 14, 0, -64, 34, 0, -20, -152, 0, -38, 0, 0, -58, -84, 0, -94, 156, 0, -66, -108, 0, -24, -64, 0, -70, 8, 0, 50, -360, 0, 88, 196, 0, -4, 216, 0, -108, 24, 0, -10, 26, 0, 16, 126, 0, 26, 228, 0, 4, -2, 0, -144, -24, 0, 56, -12, 0, 44, 156, 0, 106, 24, 0, -30, 440, 0, 22, -216, 0, -60, 108, 0, 246, -8, 0, -64, 60, 0, -166, 48, 0, -20, 168, 0, -136, 30, 0, -228, -142, 0, 140, 56, 0, 14, 68, 0, 30, 6, 0, -52, -44, 0, -166, -32, 0, 104, 98, 0, 282, -12, 0, 26, -40, 0, 4, 48, 0, -64, -18, 0, 20, 102, 0, -112, 78, 0, -28, 62, 0, 0, -122, 0, 44, 58, 0, 52, -34, 0, -164, -68, 0, 94, 48, 0, 92, 18, 0, 20, -580, 0, -152, 104, 0, 32, -120, 0, 228, 4, 0, -80, -298, 0, 124, -256, 0, -40, -572, 0, 4, 40, 0, 72, -118, 0, -62, 252, 0, 14, 32, 0, 312, -42, 0, 110, -338, 0, 288, 58, 0, 52, -82, 0, 106, 4, 0, 104, -304, 0, 112, -84, 0, -28, 224, 0, 256, 96, 0, 32, 352, 0, 28, -272, 0, -76, -188, 0, -60, 44, 0, -78, -360, 0, 38, -6, 0, -2, 46, 0, 128, -168, 0, -118, -162, 0, 32, 8, 0, 24, 278, 0, 108, 20, 0, -112, -404, 0, 192, 52, 0, 32, -32, 0, 100, -76, 0, -80, -10, 0, 248, -48, 0, -6, -38, 0, -18, 18, 0, -122, -288, 0, 88, 76, 0, -14, 122, 0, 48, -92, 0, -24, -136, 0, -106, 64, 0, 16, -156, 0, -132, 0, 0, 36, -60, 0, -42, -184, 0, -40, 178, 0, -96, -124, 0, -102, 316, 0, -128, 280, 0, -6, -170, 0, 18, 82, 0, -4, -298, 0, -230, 304, 0, 16, 250, 0, 76, -24, 0, -4, 118, 0, 200, -94, 0, -26, -106, 0, 398, 16, 0, 48, 448, 0, 60, 132, 0, -22, 144, 0, 136, 92, 0, 0, -30, 0, 140, -32, 0, 0, 366, 0, 288, -24, 0, 120, 32, 0, -278, 96, 0, -12, -10, 0, 110, -228, 0, 20, 70, 0, 332, 252, 0, 50, -180, 0, -222, 0, 0, -132, -72, 0, 188, -38, 0, -12], '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: 46367131
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1621, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526022058870374, 'source_is_minimal': False, 'source_label': '1638.2.m.h.1621.1', 'source_level': 1638, 'target_conrey_index': 1621, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526022058870374, 'target_is_minimal': False, 'target_label': '1638.2.m.h.1621.1', 'target_level': 1638, 'twist_class_label': '546.2.j.c.289.4', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 46367132
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1621, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526022058870374, 'source_is_minimal': False, 'source_label': '1638.2.m.h.1621.1', 'source_level': 1638, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007817763586594, 'target_is_minimal': True, 'target_label': '546.2.j.c.529.4', 'target_level': 546, 'twist_class_label': '546.2.j.c.289.4', 'twist_class_level': 546, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 46367133
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1621, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526022058870374, 'source_is_minimal': False, 'source_label': '1638.2.m.h.1621.1', 'source_level': 1638, 'target_conrey_index': 919, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526228217300582, 'target_is_minimal': False, 'target_label': '1638.2.p.h.919.1', 'target_level': 1638, 'twist_class_label': '546.2.j.c.289.4', 'twist_class_level': 546, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 46367134
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1621, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526022058870374, 'source_is_minimal': False, 'source_label': '1638.2.m.h.1621.1', 'source_level': 1638, 'target_conrey_index': 991, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526228217300582, 'target_is_minimal': False, 'target_label': '1638.2.p.h.991.1', 'target_level': 1638, 'twist_class_label': '546.2.j.c.289.4', 'twist_class_level': 546, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 46367135
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1621, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526022058870374, 'source_is_minimal': False, 'source_label': '1638.2.m.h.1621.1', 'source_level': 1638, 'target_conrey_index': 373, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063330, 'target_is_minimal': True, 'target_label': '546.2.k.c.373.4', 'target_level': 546, 'twist_class_label': '546.2.j.c.289.4', 'twist_class_level': 546, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 46367136
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1621, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526022058870374, 'source_is_minimal': False, 'source_label': '1638.2.m.h.1621.1', 'source_level': 1638, 'target_conrey_index': 445, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063330, 'target_is_minimal': True, 'target_label': '546.2.k.c.445.4', 'target_level': 546, 'twist_class_label': '546.2.j.c.289.4', 'twist_class_level': 546, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 2}
id: 46367137
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1621, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526022058870374, 'source_is_minimal': False, 'source_label': '1638.2.m.h.1621.1', 'source_level': 1638, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526022058870374, 'target_is_minimal': False, 'target_label': '1638.2.m.h.289.1', 'target_level': 1638, 'twist_class_label': '546.2.j.c.289.4', 'twist_class_level': 546, 'twisting_char_label': '91.16', 'twisting_conrey_index': 16, 'weight': 2}
id: 46367138
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1621, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31526022058870374, 'source_is_minimal': False, 'source_label': '1638.2.m.h.1621.1', 'source_level': 1638, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007817763586594, 'target_is_minimal': True, 'target_label': '546.2.j.c.289.4', 'target_level': 546, 'twist_class_label': '546.2.j.c.289.4', 'twist_class_level': 546, 'twisting_char_label': '273.107', 'twisting_conrey_index': 107, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 2095525
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 31526022058870374, 'p': 2}
id: 2095526
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 31526022058870374, 'p': 3}
id: 2095527
{'charpoly_factorization': [[[49, -28, 65, 0, 50, -6, 11, 2, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 5}
id: 2095528
{'charpoly_factorization': [[[2401, -1029, 98, 147, -117, 21, 2, -3, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 7}
id: 2095529
{'charpoly_factorization': [[[1, -9, 67, -118, 161, -74, 30, 4, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 11}
id: 2095530
{'charpoly_factorization': [[[28561, -6591, 3380, -195, 231, -15, 20, -3, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 13}
id: 2095531
{'charpoly_factorization': [[[-27, -153, -44, 2, 1], 2]], 'hecke_orbit_code': 31526022058870374, 'p': 17}
id: 2095532
{'charpoly_factorization': [[[23409, 32130, 37827, 9834, 2674, 256, 57, 4, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 19}
id: 2095533
{'charpoly_factorization': [[[3, 81, -34, -4, 1], 2]], 'hecke_orbit_code': 31526022058870374, 'p': 23}
id: 2095534
{'charpoly_factorization': [[[1121481, -244629, 150789, 17016, 7867, 278, 96, 2, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 29}
id: 2095535
{'charpoly_factorization': [[[219961, -97083, 55981, -7336, 4151, -806, 168, -14, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 31}
id: 2095536
{'charpoly_factorization': [[[-1, 1, 8, -6, 1], 2]], 'hecke_orbit_code': 31526022058870374, 'p': 37}
id: 2095537
{'charpoly_factorization': [[[881721, 397197, 165783, 28458, 6211, 678, 158, 12, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 41}
id: 2095538
{'charpoly_factorization': [[[169, 949, 4887, 2482, 1169, 146, 34, 0, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 43}
id: 2095539
{'charpoly_factorization': [[[3969, 7182, 10980, 4530, 1885, 4, 81, 7, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 47}
id: 2095540
{'charpoly_factorization': [[[2283121, -625554, 392002, 63466, 19391, 974, 147, -1, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 53}
id: 2095541
{'charpoly_factorization': [[[-1079, 476, 17, -16, 1], 2]], 'hecke_orbit_code': 31526022058870374, 'p': 59}
id: 2095542
{'charpoly_factorization': [[[186624, 528768, 1422144, 218880, 36304, 1744, 192, 4, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 61}
id: 2095543
{'charpoly_factorization': [[[13697401, -3749113, 1089086, -123417, 23237, -2349, 344, -19, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 67}
id: 2095544
{'charpoly_factorization': [[[79762761, 20041164, 4722951, 435780, 55036, 3788, 435, 20, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 71}
id: 2095545
{'charpoly_factorization': [[[388129, 290941, 176348, 40011, 8381, 465, 116, 7, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 73}
id: 2095546
{'charpoly_factorization': [[[4313929, -2297162, 1370703, -21170, 33662, -3916, 505, -24, 1], 1]], 'hecke_orbit_code': 31526022058870374, 'p': 79}
id: 2095547
{'charpoly_factorization': [[[2429, -1683, 364, -32, 1], 2]], 'hecke_orbit_code': 31526022058870374, 'p': 83}
id: 2095548
{'charpoly_factorization': [[[2949, -504, -104, 11, 1], 2]], 'hecke_orbit_code': 31526022058870374, 'p': 89}
id: 2095549
{'charpoly_factorization': [[[4239481, -2112534, 887956, -127378, 19745, -1172, 201, -11, 1], 1]], 'hecke_orbit_code': 31526022058870374, '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': 13, 'hecke_orbit': 8, 'label': '1638.2.m.h', 'level': 1638, 'portrait': 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', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 50151307
{'hecke_orbit_code': 31526022058870374, 'n': 1, 'trace_an': 8}
id: 50151308
{'hecke_orbit_code': 31526022058870374, 'n': 2, 'trace_an': -8}
id: 50151309
{'hecke_orbit_code': 31526022058870374, 'n': 3, 'trace_an': 0}
id: 50151310
{'hecke_orbit_code': 31526022058870374, 'n': 4, 'trace_an': 8}
id: 50151311
{'hecke_orbit_code': 31526022058870374, 'n': 5, 'trace_an': -2}
id: 50151312
{'hecke_orbit_code': 31526022058870374, 'n': 6, 'trace_an': 0}
id: 50151313
{'hecke_orbit_code': 31526022058870374, 'n': 7, 'trace_an': 3}
id: 50151314
{'hecke_orbit_code': 31526022058870374, 'n': 8, 'trace_an': -8}
id: 50151315
{'hecke_orbit_code': 31526022058870374, 'n': 9, 'trace_an': 0}
id: 50151316
{'hecke_orbit_code': 31526022058870374, 'n': 10, 'trace_an': 2}
id: 50151317
{'hecke_orbit_code': 31526022058870374, 'n': 11, 'trace_an': -4}
id: 50151318
{'hecke_orbit_code': 31526022058870374, 'n': 12, 'trace_an': 0}
id: 50151319
{'hecke_orbit_code': 31526022058870374, 'n': 13, 'trace_an': 3}
id: 50151320
{'hecke_orbit_code': 31526022058870374, 'n': 14, 'trace_an': -3}
id: 50151321
{'hecke_orbit_code': 31526022058870374, 'n': 15, 'trace_an': 0}
id: 50151322
{'hecke_orbit_code': 31526022058870374, 'n': 16, 'trace_an': 8}
id: 50151323
{'hecke_orbit_code': 31526022058870374, 'n': 17, 'trace_an': -4}
id: 50151324
{'hecke_orbit_code': 31526022058870374, 'n': 18, 'trace_an': 0}
id: 50151325
{'hecke_orbit_code': 31526022058870374, 'n': 19, 'trace_an': -4}
id: 50151326
{'hecke_orbit_code': 31526022058870374, 'n': 20, 'trace_an': -2}
id: 50151327
{'hecke_orbit_code': 31526022058870374, 'n': 21, 'trace_an': 0}
id: 50151328
{'hecke_orbit_code': 31526022058870374, 'n': 22, 'trace_an': 4}
id: 50151329
{'hecke_orbit_code': 31526022058870374, 'n': 23, 'trace_an': 8}
id: 50151330
{'hecke_orbit_code': 31526022058870374, 'n': 24, 'trace_an': 0}
id: 50151331
{'hecke_orbit_code': 31526022058870374, 'n': 25, 'trace_an': 2}
id: 50151332
{'hecke_orbit_code': 31526022058870374, 'n': 26, 'trace_an': -3}
id: 50151333
{'hecke_orbit_code': 31526022058870374, 'n': 27, 'trace_an': 0}
id: 50151334
{'hecke_orbit_code': 31526022058870374, 'n': 28, 'trace_an': 3}
id: 50151335
{'hecke_orbit_code': 31526022058870374, 'n': 29, 'trace_an': -2}
id: 50151336
{'hecke_orbit_code': 31526022058870374, 'n': 30, 'trace_an': 0}
id: 50151337
{'hecke_orbit_code': 31526022058870374, 'n': 31, 'trace_an': 14}
id: 50151338
{'hecke_orbit_code': 31526022058870374, 'n': 32, 'trace_an': -8}
id: 50151339
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{'hecke_orbit_code': 31526022058870374, 'n': 887, 'trace_an': 0}
id: 50151550
{'hecke_orbit_code': 31526022058870374, 'n': 907, 'trace_an': 9}
id: 50151551
{'hecke_orbit_code': 31526022058870374, 'n': 911, 'trace_an': 10}
id: 50151552
{'hecke_orbit_code': 31526022058870374, 'n': 919, 'trace_an': 56}
id: 50151553
{'hecke_orbit_code': 31526022058870374, 'n': 929, 'trace_an': -63}
id: 50151554
{'hecke_orbit_code': 31526022058870374, 'n': 937, 'trace_an': -150}
id: 50151555
{'hecke_orbit_code': 31526022058870374, 'n': 941, 'trace_an': -5}
id: 50151556
{'hecke_orbit_code': 31526022058870374, 'n': 947, 'trace_an': -82}
id: 50151557
{'hecke_orbit_code': 31526022058870374, 'n': 953, 'trace_an': -12}
id: 50151558
{'hecke_orbit_code': 31526022058870374, 'n': 961, 'trace_an': -16}
id: 50151559
{'hecke_orbit_code': 31526022058870374, 'n': 967, 'trace_an': -62}
id: 50151560
{'hecke_orbit_code': 31526022058870374, 'n': 971, 'trace_an': 26}
id: 50151561
{'hecke_orbit_code': 31526022058870374, 'n': 977, 'trace_an': -105}
id: 50151562
{'hecke_orbit_code': 31526022058870374, 'n': 983, 'trace_an': 45}
id: 50151563
{'hecke_orbit_code': 31526022058870374, 'n': 991, 'trace_an': 41}
id: 50151564
{'hecke_orbit_code': 31526022058870374, 'n': 997, 'trace_an': -24}

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.