Database - mf_newspaces

Formats: - HTML - YAML - JSON - 2026-10-24T19:53:51.472341

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	3195
a4_dim	integer	0
a5_dim	integer	0
analytic_conductor	double precision	1.5945127153624428
char_conductor	integer	1065
char_degree	integer	12
char_is_real	boolean	False
char_orbit_index	smallint	47
char_orbit_label	text	'bu'
char_order	integer	28
char_parity	smallint	-1
char_values	jsonb	[3195, 28, [2486, 2557, 1711], [14, 21, 26]]
conrey_index	integer	323
cusp_dim	integer	0
dihedral_dim	integer	0
dim	integer	0
eis_dim	integer	96
eis_new_dim	integer	0
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint	3161112710267
hecke_orbit_dims	integer[]	[]
label	text	'3195.1.bu'
level	integer	3195
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[]	[3, 5, 71]
level_radical	integer	1065
mf_dim	integer	96
mf_new_dim	integer	0
num_forms	smallint	0
plus_dim	integer
prim_orbit_index	smallint	33
relative_dim	integer	0
s4_dim	integer	0
sturm_bound	integer	432
trace_bound	integer	0
trace_display	numeric[]
traces	numeric[]
weight	smallint	1
weight_parity	smallint	-1

{'ALdims': [2, 3, 4, 3, 2, 3, 3, 4], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [35, 39, 35, 36, 40, 33, 36, 35], 'Nk2': 7200, 'analytic_conductor': 14.373072363830468, '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': [1800, 1, [1351, 901, 1001, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 313, 'dim': 24, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33556232, '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], 'id': 421987, 'label': '1800.2.a', 'level': 1800, 'level_is_powerful': True, '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, 5], 'level_radical': 30, 'mf_dim': 408, 'mf_new_dim': 24, 'num_forms': 24, 'plus_dim': 11, 'prim_orbit_index': 1, 'relative_dim': 24, 'sturm_bound': 720, 'trace_bound': 13, 'trace_display': [0, 0, 0, -4], 'traces': [24, 0, 0, 0, 0, 0, -4, 0, 0, 0, 6, 0, -4, 0, 0, 0, -4, 0, -6, 0, 0, 0, -12, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -26, 0, 12, 0, 0, 0, 20, 0, 32, 0, 0, 0, 20, 0, 0, 0, 0, 0, 32, 0, 8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 32, 0, 4, 0, 0, 0, -16, 0, -12, 0, 0, 0, -20, 0, 0, 0, 0, 0, -6, 0, -32, 0, 0, 0, 0, 0, 36, 0, 0, 0, 12, 0, 4, 0, 0, 0, -12, 0, 40, 0, 0, 0, 36, 0, 0, 0, 0, 0, -36, 0, 42, 0, 0, 0, 0, 0, -4, 0, 0, 0, 40, 0, -16, 0, 0, 0, -12, 0, -46, 0, 0, 0, -40, 0, 0, 0, 0, 0, 40, 0, 28, 0, 0, 0, 0, 0, -20, 0, 0, 0, -8, 0, -36, 0, 0, 0, 44, 0, -24, 0, 0, 0, 52, 0, 0, 0, 0, 0, 22, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 0, 36, 0, -12, 0, 0, 0, 4, 0, 24, 0, 0, 0, -16, 0, 0, 0, 0, 0, -42, 0, -18, 0, 0, 0, 0, 0, -48, 0, 0, 0, -8, 0, 36, 0, 0, 0, -52, 0, -20, 0, 0, 0, -4, 0, 0, 0, 0, 0, -64, 0, 22, 0, 0, 0, 0, 0, 16, 0, 0, 0, -30, 0, -16, 0, 0, 0, -12, 0, 16, 0, 0, 0, -44, 0, 0, 0, 0, 0, 88, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, 0, -68, 0, 28, 0, 0, 0, 64, 0, 58, 0, 0, 0, -12, 0, 0, 0, 0, 0, 16, 0, -48, 0, 0, 0, 0, 0, 84, 0, 0, 0, -108, 0, 4, 0, 0, 0, 4, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, -48, 0, -110, 0, 0, 0, 0, 0, -12, 0, 0, 0, 4, 0, 40, 0, 0, 0, -52, 0, -128, 0, 0, 0, 12, 0, 0, 0, 0, 0, 20, 0, -30, 0, 0, 0, 0, 0, -84, 0, 0, 0, -64, 0, 28, 0, 0, 0, 16, 0, -114, 0, 0, 0, -4, 0, 0, 0, 0, 0, -28, 0, 20, 0, 0, 0, 0, 0, -36, 0, 0, 0, -10, 0, 16, 0, 0, 0, 56, 0, 46, 0, 0, 0, 16, 0, 0, 0, 0, 0, -114, 0, -68, 0, 0, 0, 0, 0, 24, 0, 0, 0, 84, 0, 52, 0, 0, 0, 16, 0, 144, 0, 0, 0, 52, 0, 0, 0, 0, 0, 86, 0, 26, 0, 0, 0, 0, 0, 52, 0, 0, 0, 80, 0, -92, 0, 0, 0, -76, 0, -4, 0, 0, 0, -64, 0, 0, 0, 0, 0, 92, 0, 8, 0, 0, 0, 0, 0, 28, 0, 0, 0, 88, 0, -72, 0, 0, 0, 0, 0, -80, 0, 0, 0, -4, 0, 0, 0, 0, 0, -172, 0, 116, 0, 0, 0, 0, 0, -16, 0, 0, 0, 78, 0, -84, 0, 0, 0, 48, 0, -24, 0, 0, 0, -72, 0, 0, 0, 0, 0, 166, 0, 68, 0, 0, 0, 0, 0, -108, 0, 0, 0, -88, 0, -16, 0, 0, 0, -44, 0, -128, 0, 0, 0, 84, 0, 0, 0, 0, 0, 62, 0, -88, 0, 0, 0, 0, 0, -92, 0, 0, 0, -76, 0, -16, 0, 0, 0, -60, 0, 76, 0, 0, 0, 20, 0, 0, 0, 0, 0, -220, 0, -110, 0, 0, 0, 0, 0, 12, 0, 0, 0, -96, 0, 76, 0, 0, 0, 12, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, -12, 0, -100, 0, 0, 0, 0, 0, 124, 0, 0, 0, -100, 0, 44, 0, 0, 0, 20, 0, -32, 0, 0, 0, 4, 0, 0, 0, 0, 0, 162, 0, -84, 0, 0, 0, 0, 0, 168, 0, 0, 0, 52, 0, -76, 0, 0, 0, 52, 0, 88, 0, 0, 0, 92, 0, 0, 0, 0, 0, -72, 0, 50, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 16, 0, 0, 0, -80, 0, -68, 0, 0, 0, -96, 0, 0, 0, 0, 0, -44, 0, -40, 0, 0, 0, 0, 0, -132, 0, 0, 0, 184, 0, 76, 0, 0, 0, 0, 0, -88, 0, 0, 0, 12, 0, 0, 0, 0, 0, 116, 0, 160, 0, 0, 0, 0, 0, -132, 0, 0, 0, 246, 0, 88, 0, 0, 0, 72, 0, -98, 0, 0, 0, -140, 0, 0, 0, 0, 0, 86, 0, 136, 0, 0, 0, 0, 0, 4, 0, 0, 0, 76, 0, 56, 0, 0, 0, 36, 0, 288, 0, 0, 0, 40, 0, 0, 0, 0, 0, -92, 0, 136, 0, 0, 0, 0, 0, 176, 0, 0, 0, 60, 0, -28, 0, 0, 0, -36, 0, 204, 0, 0, 0, 28, 0, 0, 0, 0, 0, -120, 0, 56, 0, 0, 0, 0, 0, 92, 0, 0, 0, -256, 0, -20, 0, 0, 0, 76, 0, -142, 0, 0, 0, 4, 0, 0, 0, 0, 0, 84, 0, 120, 0, 0, 0, 0, 0, -20, 0, 0, 0, -60, 0, -148, 0, 0, 0, 12, 0, -144, 0, 0, 0, 16, 0, 0, 0, 0, 0, 24, 0, -4, 0, 0, 0, 0, 0, -156, 0, 0, 0, -280, 0, 16, 0, 0, 0, 16, 0, 28, 0, 0, 0, 32, 0, 0, 0, 0, 0, -28, 0, -86, 0, 0, 0, 0, 0, -92, 0, 0, 0, -200, 0, 56, 0, 0, 0, -100, 0, -64, 0, 0, 0, -92, 0, 0, 0, 0, 0, 188, 0, -152, 0, 0, 0, 0, 0, 44, 0, 0, 0, -90, 0, 48, 0, 0, 0, -20, 0, 78, 0, 0, 0, 44, 0, 0, 0, 0, 0, -64, 0, -108, 0, 0, 0, 0, 0, 44, 0, 0, 0], 'weight': 2, 'weight_parity': 1}