Database - mf_newspaces

Formats: - HTML - YAML - JSON - 2026-10-23T22:06:11.556715

Query: /api/mf_newspaces/?_offset=0

Table mf_newspaces

Newspaces $S_k^{\rm new}(N,\chi)$ of modular forms

Column	Type	Example
ALdims	integer[]	[4223, 4230, 4230, 4223, 4299, 4155, 4155, 4298]
ALdims_eis_new	integer[]	[0, 0, 0, 0, 0, 0, 0, 0]
ALdims_eis_old	integer[]	[0, 1, 1, 1, 1, 1, 1, 1]
ALdims_old	integer[]	[9479, 9733, 9616, 9597, 9508, 9704, 9644, 9567]
Nk2	integer	3393512
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision	6774.332436600981
char_conductor	integer	1
char_degree	integer	1
char_is_real	boolean	True
char_orbit_index	smallint	1
char_orbit_label	text	'a'
char_order	integer	1
char_parity	smallint	1
char_values	jsonb	[848378, 1, [258203, 571735], [1, 1]]
conrey_index	integer	1
cusp_dim	integer	110661
dihedral_dim	integer
dim	integer	33813
eis_dim	integer	7
eis_new_dim	integer	0
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint	34402810
hecke_orbit_dims	integer[]
label	text	'848378.2.a'
level	integer	848378
level_is_powerful	boolean	False
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean	False
level_is_square	boolean	False
level_is_squarefree	boolean	True
level_primes	integer[]	[2, 23, 18443]
level_radical	integer	848378
mf_dim	integer	110668
mf_new_dim	integer	33813
num_forms	smallint
plus_dim	integer	16756
prim_orbit_index	smallint	1
relative_dim	integer	33813
s4_dim	integer
sturm_bound	integer	221328
trace_bound	integer
trace_display	numeric[]	[1, 0, -2, 8]
traces	numeric[]	[33813, 1, 0, 33813, -2, -4, 8, 1, 33813, 6, -12, 0, 18, 0, -24, 33813, -6, -3, 12, -2, -8, -4, -1, ...
weight	smallint	2
weight_parity	smallint	1

{'ALdims': [3, 5, 5, 3], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4], 'ALdims_old': [11, 12, 14, 12], 'Nk2': 2176, 'analytic_conductor': 4.343861869957653, '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': [544, 1, [511, 69, 513], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 65, 'dim': 16, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33554976, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 3, 3], 'id': 136556, 'label': '544.2.a', 'level': 544, '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, 17], 'level_radical': 34, 'mf_dim': 80, 'mf_new_dim': 16, 'num_forms': 10, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 16, 'sturm_bound': 144, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -80, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 80, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 80, 0, 0, 0, 16, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 112, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, -112, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 96, 0, 0, 0, 112, 0, 0, 0, -48, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, -112, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 112, 0, 0, 0, 160, 0, 0, 0, -80, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 80, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, -112, 0, 0, 0, 80, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -160, 0, 0, 0, -144, 0, 0, 0, -112, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, 16, 0, 0, 0, 176, 0, 0, 0, -176, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, -48, 0, 0, 0, -48, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 176, 0, 0, 0, -80, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, -176, 0, 0, 0, 112, 0, 0, 0, -32, 0, 0, 0, -112, 0, 0, 0, -48, 0, 0, 0, 112, 0, 0, 0, 224, 0, 0, 0, 176, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, -96, 0, 0, 0, 256, 0, 0, 0, -192, 0, 0, 0, 144, 0, 0, 0, 224, 0, 0, 0, -176, 0, 0, 0, -272, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, -160, 0, 0, 0, 112, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 176, 0, 0, 0, -144, 0, 0, 0, 80, 0, 0, 0, -144, 0, 0, 0, -16, 0, 0, 0, -224, 0, 0, 0, 208, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 176, 0, 0, 0, 192, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -48, 0, 0, 0, -96, 0, 0, 0, 160, 0, 0, 0, -224, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 176, 0, 0, 0, -160, 0, 0, 0, 96, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, -80, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, -160, 0, 0, 0, 48, 0, 0, 0, -208, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 144, 0, 0, 0, 176, 0, 0, 0, 80, 0, 0, 0, 32, 0, 0, 0, 256, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 192, 0, 0, 0, 224, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 48, 0, 0, 0, -208, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 80, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 64, 0, 0, 0, 256, 0, 0, 0, 448, 0, 0, 0, -48, 0, 0, 0, -192, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 160, 0, 0, 0, -192, 0, 0, 0, 96, 0, 0, 0, 240, 0, 0, 0, 48, 0, 0, 0, -272, 0, 0, 0, -32, 0, 0, 0, -160, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, -240, 0, 0, 0, 80, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, 80, 0, 0, 0, -224, 0, 0, 0, -64, 0, 0, 0, 112, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, -256, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, -176, 0, 0, 0, 192, 0, 0, 0, -176, 0, 0, 0, -144, 0, 0, 0, -352, 0, 0, 0, -192, 0, 0, 0], 'weight': 2, 'weight_parity': 1}