Database - mf_newspaces

Formats: - HTML - YAML - JSON - 2026-10-24T14:46:18.440240

Query: /api/mf_newspaces/?_offset=0

Table mf_newspaces

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

Column	Type	Example
ALdims	integer[]	[12504, 12509, 12743, 12271]
ALdims_eis_new	integer[]	[0, 0, 0, 0]
ALdims_eis_old	integer[]	[0, 1, 1, 1]
ALdims_old	integer[]	[6137, 6370, 6137, 6370]
Nk2	integer	3001660
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision	5992.093943279912
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	[750415, 1, [300167, 450251], [1, 1]]
conrey_index	integer	1
cusp_dim	integer	75041
dihedral_dim	integer
dim	integer	50027
eis_dim	integer	3
eis_new_dim	integer	0
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint	34304847
hecke_orbit_dims	integer[]
label	text	'750415.2.a'
level	integer	750415
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[]	[5, 150083]
level_radical	integer	750415
mf_dim	integer	75044
mf_new_dim	integer	50027
num_forms	smallint
plus_dim	integer	24775
prim_orbit_index	smallint	1
relative_dim	integer	50027
s4_dim	integer
sturm_bound	integer	150084
trace_bound	integer
trace_display	numeric[]	[-1, 0, 1, -8]
traces	numeric[]	[50027, -1, 0, 50025, 1, 12, -8, 3, 50035, 1, 0, 16, -6, 16, 4, 50017, 14, 19, 0, 7, 4, 12, 0, 60, 5...
weight	smallint	2
weight_parity	smallint	1

{'Nk2': 1404, 'analytic_conductor': 2.8027491109469413, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [351, 2, [326, 28], [2, 1]], 'conrey_index': 298, 'cusp_dim': 36, 'dim': 18, 'eis_dim': 12, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 17], 'hecke_orbit_code': 68753031519, 'hecke_orbit_dims': [2, 4, 4, 4, 4], 'id': 89948, 'label': '351.2.b', 'level': 351, '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': [3, 13], 'level_radical': 39, 'mf_dim': 48, 'mf_new_dim': 18, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 18, 'sturm_bound': 84, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [18, 0, 0, -16, 0, 0, 0, 0, 0, 20, 0, 0, 7, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, 0, 10, 0, 0, -16, 0, 0, 0, 0, 0, 50, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -64, 0, 0, 0, 0, 0, -68, 0, 0, -39, 0, 0, 104, 0, 0, 0, 0, 0, 148, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 2, 0, 0, 0, 0, 0, -16, 0, 0, -28, 0, 0, -30, 0, 0, 0, 0, 0, -138, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 108, 0, 0, 0, 0, 0, 152, 0, 0, 87, 0, 0, -80, 0, 0, 0, 0, 0, -136, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -130, 0, 0, 0, 0, 0, -28, 0, 0, -168, 0, 0, 86, 0, 0, 0, 0, 0, 84, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 288, 0, 0, 0, 0, 0, -268, 0, 0, 75, 0, 0, 124, 0, 0, 0, 0, 0, 88, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 60, 0, 0, 0, 0, 0, -28, 0, 0, -4, 0, 0, -54, 0, 0, 0, 0, 0, 44, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -268, 0, 0, 0, 0, 0, -180, 0, 0, -161, 0, 0, -80, 0, 0, 0, 0, 0, 104, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 80, 0, 0, 0, 0, 0, 156, 0, 0, 30, 0, 0, 6, 0, 0, 0, 0, 0, -82, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, -16, 0, 0, 0, 0, 0, -28, 0, 0, -66, 0, 0, -108, 0, 0, 0, 0, 0, -80, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -296, 0, 0, -40, 0, 0, 0, 0, 0, 168, 0, 0, 36, 0, 0, 248, 0, 0, 0, 0, 0, 164, 0, 0, -196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 342, 0, 0, 148, 0, 0, 0, 0, 0, 200, 0, 0, 105, 0, 0, 316, 0, 0, 0, 0, 0, -364, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 198, 0, 0, 0, 0, 0, -88, 0, 0, 244, 0, 0, -330, 0, 0, 0, 0, 0, -162, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, -516, 0, 0, 0, 0, 0, 304, 0, 0, 44, 0, 0, -28, 0, 0, 0, 0, 0, 388, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, -12, 0, 0, 0, 0, 0, -324, 0, 0, 36, 0, 0, -304, 0, 0, 0, 0, 0, 90, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, -128, 0, 0, 0, 0, 0, 20, 0, 0, -116, 0, 0, -112, 0, 0, 0, 0, 0, 252, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -260, 0, 0, -36, 0, 0, 0, 0, 0, -210, 0, 0, -358, 0, 0, 138, 0, 0, 0, 0, 0, 200, 0, 0, -464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 200, 0, 0, 0, 0, 0, 220, 0, 0, 284, 0, 0, 56, 0, 0, 0, 0, 0, -200, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 80, 0, 0, 0, 0, 0, -306, 0, 0, -72, 0, 0, 98, 0, 0, 0, 0, 0, -132, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 140, 0, 0, 0, 0, 0, 436, 0, 0, 15, 0, 0, 44, 0, 0, 0, 0, 0, 80, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, -102, 0, 0, 0, 0, 0, -58, 0, 0, 204, 0, 0, 236, 0, 0, 0, 0, 0, -450, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, -76, 0, 0, 0, 0, 0, 384, 0, 0, 45, 0, 0, -216, 0, 0, 0, 0, 0, -728, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, -252, 0, 0, 0, 0, 0, 326, 0, 0, -180, 0, 0, 188, 0, 0, 0, 0, 0, 80, 0, 0, 236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 230, 0, 0, 384, 0, 0, 0, 0, 0, -500, 0, 0, 261, 0, 0, -36, 0, 0, 0, 0, 0, 476, 0, 0, 102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 276, 0, 0, 32, 0, 0, 0, 0, 0, -40, 0, 0, 186, 0, 0, -258, 0, 0, 0, 0, 0, 336, 0, 0, 92], 'weight': 2, 'weight_parity': 1}