Database - mf_newspaces

Formats: - HTML - YAML - JSON - 2026-10-23T05:49:15.174612

Query: /api/mf_newspaces/?_offset=0

Table mf_newspaces

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

Column	Type	Example
ALdims	integer[]	[0, 0, 0, 0, 2590, 2524, 2525, 2591]
ALdims_eis_new	integer[]	[0, 0, 0, 0, 0, 0, 0, 0]
ALdims_eis_old	integer[]	[5, 6, 6, 6, 3, 3, 3, 3]
ALdims_old	integer[]	[17102, 17426, 17398, 17129, 14689, 14727, 14754, 14660]
Nk2	integer	3314736
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision	6617.075054860271
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	[828684, 1, [414343, 705917, 659881], [1, 1, 1]]
conrey_index	integer	1
cusp_dim	integer	138115
dihedral_dim	integer
dim	integer	10230
eis_dim	integer	35
eis_new_dim	integer	0
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint	34383116
hecke_orbit_dims	integer[]
label	text	'828684.2.a'
level	integer	828684
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	False
level_primes	integer[]	[2, 3, 7673]
level_radical	integer	46038
mf_dim	integer	138150
mf_new_dim	integer	10230
num_forms	smallint
plus_dim	integer	5049
prim_orbit_index	smallint	1
relative_dim	integer	10230
s4_dim	integer
sturm_bound	integer	276264
trace_bound	integer
trace_display	numeric[]	[0, 0, 0, -10]
traces	numeric[]	[10230, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 10222, 0, 0, 0, 0, ...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 2088, 'analytic_conductor': 4.168190985510836, 'char_conductor': 87, 'char_degree': 12, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 28, 'char_parity': 1, 'char_values': [522, 28, [407, 379], [14, 1]], 'conrey_index': 89, 'cusp_dim': 984, 'dim': 120, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 1168264659466, 'hecke_orbit_dims': [48, 72], 'id': 131945, 'label': '522.2.r', 'level': 522, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 29], 'level_radical': 174, 'mf_dim': 1176, 'mf_new_dim': 120, 'num_forms': 2, 'prim_orbit_index': 11, 'relative_dim': 10, 'sturm_bound': 180, 'trace_bound': 1, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 20, 0, 0, 16, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, -12, 0, 0, -16, 0, 0, 32, 0, 0, 44, 0, 0, 32, 0, 0, 8, 0, 0, 8, 0, 0, 44, 0, 0, 0, 0, 0, 112, 0, 0, -56, 0, 0, -32, 0, 0, -96, 0, 0, -72, 0, 0, -56, 0, 0, -280, 0, 0, 0, 0, 0, -336, 0, 0, -112, 0, 0, -36, 0, 0, -112, 0, 0, -192, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 48, 0, 0, 216, 0, 0, -36, 0, 0, 352, 0, 0, 88, 0, 0, 64, 0, 0, 192, 0, 0, 452, 0, 0, 24, 0, 0, 112, 0, 0, 336, 0, 0, 44, 0, 0, 44, 0, 0, 48, 0, 0, -8, 0, 0, -84, 0, 0, -16, 0, 0, -544, 0, 0, 0, 0, 0, -64, 0, 0, 32, 0, 0, -224, 0, 0, -112, 0, 0, -156, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 48, 0, 0, -136, 0, 0, -64, 0, 0, 48, 0, 0, 48, 0, 0, 40, 0, 0, 28, 0, 0, -8, 0, 0, -16, 0, 0, -112, 0, 0, -56, 0, 0, -68, 0, 0, -128, 0, 0, -140, 0, 0, 208, 0, 0, -20, 0, 0, -48, 0, 0, 48, 0, 0, -224, 0, 0, -32, 0, 0, -104, 0, 0, -140, 0, 0, -216, 0, 0, 0, 0, 0, -112, 0, 0, 96, 0, 0, 0, 0, 0, 32, 0, 0, 448, 0, 0, 20, 0, 0, 432, 0, 0, -16, 0, 0, 176, 0, 0, 216, 0, 0, 152, 0, 0, 40, 0, 0, 304, 0, 0, 320, 0, 0, 224, 0, 0, 0, 0, 0, 288, 0, 0, 96, 0, 0, 348, 0, 0, 168, 0, 0, -288, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 104, 0, 0, -112, 0, 0, 32, 0, 0, -160, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 440, 0, 0, -76, 0, 0, -144, 0, 0, 60, 0, 0, 296, 0, 0, 20, 0, 0, 96, 0, 0, -16, 0, 0, -468, 0, 0, -224, 0, 0, 0, 0, 0, -496, 0, 0, -388, 0, 0, 12, 0, 0, -368, 0, 0, -560, 0, 0, -60, 0, 0, -216, 0, 0, -168, 0, 0, -544, 0, 0, -304, 0, 0, 0, 0, 0, -656, 0, 0, -136, 0, 0, -336, 0, 0, 48, 0, 0, 0, 0, 0, -148, 0, 0, -112, 0, 0, 88, 0, 0, -144, 0, 0, 400, 0, 0, 292, 0, 0, 84, 0, 0, 112, 0, 0, 700, 0, 0, 112, 0, 0, 120, 0, 0, 336, 0, 0, 0, 0, 0, 476, 0, 0, -8, 0, 0, 8, 0, 0, 300, 0, 0, 48, 0, 0, -36, 0, 0, 288, 0, 0, 336, 0, 0, -60, 0, 0, 128, 0, 0, 280, 0, 0, -140, 0, 0, -248, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -96, 0, 0, -244, 0, 0, -148, 0, 0, -80, 0, 0, -272, 0, 0, -240, 0, 0, -368, 0, 0, -60, 0, 0, -304, 0, 0, -448, 0, 0, -224, 0, 0, -116, 0, 0, -448, 0, 0, -512, 0, 0, -412, 0, 0, -136, 0, 0, -328, 0, 0, -104, 0, 0, -756, 0, 0, -280, 0, 0, -416, 0, 0, -224, 0, 0, -436, 0, 0, -44, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, -44, 0, 0, -336, 0, 0, 240, 0, 0, -64, 0, 0, -48, 0, 0, 640, 0, 0, 64, 0, 0, 48, 0, 0, -8, 0, 0, 464, 0, 0, 112, 0, 0, 336, 0, 0, 448, 0, 0, 480, 0, 0, 240, 0, 0, 560, 0, 0, 16, 0, 0, 304, 0, 0, 72, 0, 0, -464, 0, 0, 336, 0, 0, 576, 0, 0, 444, 0, 0, 364, 0, 0, 80, 0, 0, 464, 0, 0, 112, 0, 0, -16, 0, 0, 0, 0, 0, -24, 0, 0, -56, 0, 0, 268, 0, 0, -32, 0, 0, 368, 0, 0, 176, 0, 0, -28, 0, 0, -16, 0, 0, 632, 0, 0, 224, 0, 0, 308, 0, 0, 0, 0, 0, 224, 0, 0, -368, 0, 0, 668, 0, 0, -44, 0, 0, 360, 0, 0, -80, 0, 0, 96, 0, 0, -72, 0, 0, 560, 0, 0, -144, 0, 0, -128, 0, 0, 112, 0, 0, 416, 0, 0, 248, 0, 0, 784, 0, 0, 120, 0, 0, 0, 0, 0, 304, 0, 0, 672, 0, 0, -88, 0, 0, 432, 0, 0, 320, 0, 0, -116, 0, 0, 80, 0, 0, -160, 0, 0, 128, 0, 0, 256, 0, 0, 176, 0, 0, -616, 0, 0, 784, 0, 0, -260, 0, 0, -24, 0, 0, 528, 0, 0, 464, 0, 0, -408, 0, 0, -64, 0, 0, 416, 0, 0, 0, 0, 0, -32, 0, 0, 160, 0, 0, -224, 0, 0, 320, 0, 0, -272, 0, 0, 56, 0, 0, -632, 0, 0, 0, 0, 0, -760, 0, 0, -112, 0, 0, -352, 0, 0, -848, 0, 0, -648, 0, 0, -252, 0, 0, -760, 0, 0, -224, 0, 0, -1084, 0, 0, -8, 0, 0, -816, 0, 0, -336, 0, 0, -560, 0, 0, -240, 0, 0, -720, 0, 0, -512, 0, 0, -800, 0, 0, -160, 0, 0, -416, 0, 0, -288, 0, 0, -560, 0, 0, -136, 0, 0, -184, 0, 0, -504, 0, 0, 96, 0, 0, -156, 0, 0, -672, 0, 0, 264, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 64, 0, 0, 4, 0, 0, -336], 'weight': 2, 'weight_parity': 1}