Database - mf_newspaces

Formats: - HTML - YAML - JSON - 2026-10-25T00:47:19.432558

Query: /api/mf_newspaces/?_offset=0

Table mf_newspaces

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

Column	Type	Example
ALdims	integer[]
ALdims_eis_new	integer[]
ALdims_eis_old	integer[]
ALdims_old	integer[]
Nk2	integer	22704
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision	83.72371029814593
char_conductor	integer	1419
char_degree	integer	48
char_is_real	boolean	False
char_orbit_index	smallint	62
char_orbit_label	text	'cj'
char_order	integer	210
char_parity	smallint	1
char_values	jsonb	[1419, 210, [947, 904, 562], [105, 84, 125]]
conrey_index	integer	5
cusp_dim	integer	25152
dihedral_dim	integer
dim	integer	25152
eis_dim	integer	384
eis_new_dim	integer	384
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint	4191955191179
hecke_orbit_dims	integer[]
label	text	'1419.4.cj'
level	integer	1419
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[]	[3, 11, 43]
level_radical	integer	1419
mf_dim	integer	25536
mf_new_dim	integer	25536
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint	62
relative_dim	integer	524
s4_dim	integer
sturm_bound	integer	704
trace_bound	integer
trace_display	numeric[]	[0, -33, 0, -108]
traces	numeric[]	[25152, 0, -33, 4100, 0, 26, -108, 0, -99, -312, 0, -186, -318, 0, 69, 16460, 0, -81, -1074, 0, 190,...
weight	smallint	4
weight_parity	smallint	1

{'Nk2': 5328, 'analytic_conductor': 10.636073549234547, 'char_conductor': 37, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 35, 'char_orbit_label': 'bi', 'char_order': 6, 'char_parity': 1, 'char_values': [1332, 6, [667, 1037, 1297], [6, 6, 1]], 'conrey_index': 397, 'cusp_dim': 432, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 2336495764788, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 8, 8], 'id': 318738, 'label': '1332.2.bi', 'level': 1332, '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, 37], 'level_radical': 222, 'mf_dim': 480, 'mf_new_dim': 32, 'num_forms': 9, 'prim_orbit_index': 5, 'relative_dim': 16, 'sturm_bound': 456, 'trace_bound': 11, 'trace_display': [0, 0, 0, 1], 'traces': [32, 0, 0, 0, 0, 0, 1, 0, 0, 0, -8, 0, 3, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45, 0, 23, 0, 0, 0, 18, 0, 0, 0, 0, 0, 20, 0, -9, 0, 0, 0, -17, 0, 0, 0, 0, 0, 21, 0, 24, 0, 0, 0, 19, 0, -1, 0, 0, 0, -5, 0, 0, 0, 0, 0, 12, 0, 9, 0, 0, 0, 1, 0, 64, 0, 0, 0, -6, 0, -27, 0, 0, 0, -19, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 15, 0, 18, 0, 0, 0, 57, 0, -28, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 15, 0, 0, 0, -9, 0, 27, 0, 0, 0, -26, 0, -17, 0, 0, 0, 90, 0, 5, 0, 0, 0, 14, 0, -15, 0, 0, 0, -6, 0, -18, 0, 0, 0, 72, 0, 33, 0, 0, 0, -39, 0, 19, 0, 0, 0, 4, 0, -36, 0, 0, 0, 0, 0, 20, 0, 0, 0, -68, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -24, 0, -72, 0, 0, 0, -150, 0, -4, 0, 0, 0, -38, 0, -18, 0, 0, 0, 58, 0, -52, 0, 0, 0, 57, 0, 10, 0, 0, 0, -102, 0, -144, 0, 0, 0, -111, 0, 15, 0, 0, 0, 0, 0, -55, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, -3, 0, 0, 0, 29, 0, 0, 0, 0, 0, 136, 0, 29, 0, 0, 0, -62, 0, -54, 0, 0, 0, -66, 0, 87, 0, 0, 0, -31, 0, 88, 0, 0, 0, -68, 0, -106, 0, 0, 0, 44, 0, -66, 0, 0, 0, 34, 0, -92, 0, 0, 0, -81, 0, 36, 0, 0, 0, -76, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 82, 0, 63, 0, 0, 0, 219, 0, -38, 0, 0, 0, 0, 0, -202, 0, 0, 0, 0, 0, 16, 0, 0, 0, 42, 0, -81, 0, 0, 0, 124, 0, 31, 0, 0, 0, 204, 0, -13, 0, 0, 0, -66, 0, 2, 0, 0, 0, -104, 0, -29, 0, 0, 0, 99, 0, 24, 0, 0, 0, -42, 0, 36, 0, 0, 0, 15, 0, 86, 0, 0, 0, 0, 0, -106, 0, 0, 0, 68, 0, -66, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25, 0, 0, 0, 0, 0, 42, 0, 27, 0, 0, 0, -285, 0, -110, 0, 0, 0, -76, 0, -63, 0, 0, 0, 136, 0, -16, 0, 0, 0, -27, 0, -8, 0, 0, 0, -102, 0, 30, 0, 0, 0, -27, 0, -33, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 0, 0, 0, -105, 0, 39, 0, 0, 0, 133, 0, 0, 0, 0, 0, 268, 0, 23, 0, 0, 0, -175, 0, 81, 0, 0, 0, 63, 0, 51, 0, 0, 0, -4, 0, -18, 0, 0, 0, -172, 0, -16, 0, 0, 0, 71, 0, -45, 0, 0, 0, 26, 0, 96, 0, 0, 0, 63, 0, 183, 0, 0, 0, -60, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 92, 0, 39, 0, 0, 0, 174, 0, 90, 0, 0, 0, 0, 0, 118, 0, 0, 0, 0, 0, 99, 0, 0, 0, -72, 0, -9, 0, 0, 0, 130, 0, -12, 0, 0, 0, 27, 0, 130, 0, 0, 0, -54, 0, -85, 0, 0, 0, -35, 0, 64, 0, 0, 0, 108, 0, 27, 0, 0, 0, -252, 0, 80, 0, 0, 0, 69, 0, -156, 0, 0, 0, 0, 0, -76, 0, 0, 0, -133, 0, -99, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -141, 0, 216, 0, 0, 0, -210, 0, 114, 0, 0, 0, -61, 0, -258, 0, 0, 0, 254, 0, 236, 0, 0, 0, -120, 0, 67, 0, 0, 0, -278, 0, 78, 0, 0, 0, -159, 0, 213, 0, 0, 0, 0, 0, 105, 0, 0, 0, 0, 0, 0, 0, 0, 0, -183, 0, 85, 0, 0, 0, 196, 0, 0, 0, 0, 0, 280, 0, 12, 0, 0, 0, -45, 0, 66, 0, 0, 0, -180, 0, 153, 0, 0, 0, 56, 0, -61, 0, 0, 0, -130, 0, 36, 0, 0, 0, 51, 0, 177, 0, 0, 0, 45, 0, 188, 0, 0, 0, -93, 0, -198, 0, 0, 0, -80, 0, 0, 0, 0, 0, 366, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 405, 0, -152, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 167, 0, 0, 0, -87, 0, 156, 0, 0, 0, 128, 0, -10, 0, 0, 0, 363, 0, 111, 0, 0, 0, -118, 0, -74, 0, 0, 0, -99, 0, 27, 0, 0, 0, 303, 0, 15, 0, 0, 0, -267, 0, -27, 0, 0, 0, -33, 0, 38, 0, 0, 0, 0, 0, 105, 0, 0, 0, -20, 0, -222, 0, 0, 0, 0, 0, 0, 0, 0, 0, -125, 0, 0, 0, 0, 0, 126, 0, 33, 0, 0, 0, -465, 0, 34, 0, 0, 0, 12, 0, 15, 0, 0, 0, 104, 0, -242, 0, 0, 0, 36, 0, 134, 0, 0, 0, -272, 0, -111, 0, 0, 0, -126, 0, 201, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -129, 0, -182, 0, 0, 0, 80, 0, 0, 0, 0, 0, 700, 0, 190, 0, 0, 0, -212, 0, -132, 0, 0, 0, 75, 0, 66, 0, 0, 0, 13, 0, 68, 0, 0, 0, -208, 0, -352, 0, 0, 0, 161, 0, 9, 0, 0, 0, -21, 0, -74, 0, 0, 0, 123, 0, 324, 0, 0, 0, -39, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 124, 0, 207, 0, 0, 0], 'weight': 2, 'weight_parity': 1}