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

Formats: - HTML - YAML - JSON - 2026-08-25T05:43:16.730888

Query: /api/mf_newspaces/?_offset=0

Column	Type
ALdims	integer[]
ALdims_eis_new	integer[]
ALdims_eis_old	integer[]
ALdims_old	integer[]
Nk2	integer
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision
char_conductor	integer
char_degree	integer
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
conrey_index	integer
cusp_dim	integer
dihedral_dim	integer
dim	integer
eis_dim	integer
eis_new_dim	integer
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint
hecke_orbit_dims	integer[]
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
mf_dim	integer
mf_new_dim	integer
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint
relative_dim	integer
s4_dim	integer
sturm_bound	integer
trace_bound	integer
trace_display	numeric[]
traces	numeric[]
weight	smallint
weight_parity	smallint

{'ALdims': [6, 4, 4, 6, 8, 4, 4, 8, 6, 5, 5, 6, 5, 6, 6, 5], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [60, 67, 68, 68, 66, 64, 67, 61, 68, 63, 66, 63, 64, 69, 62, 65], 'Nk2': 22080, 'analytic_conductor': 44.077421915746775, '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': [5520, 1, [4831, 1381, 1841, 4417, 1201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1129, 'dim': 88, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33559952, '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5], 'id': 1036504, 'label': '5520.2.a', 'level': 5520, '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, 5, 23], 'level_radical': 690, 'mf_dim': 1176, 'mf_new_dim': 88, 'num_forms': 55, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 2304, 'trace_bound': 17, 'trace_display': [0, 4, 0, 8], 'traces': [88, 0, 4, 0, 0, 0, 8, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 88, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 104, 0, 0, 0, -32, 0, -16, 0, 16, 0, -32, 0, -32, 0, 8, 0, 0, 0, 8, 0, 0, 0, -32, 0, 16, 0, 4, 0, -32, 0, 8, 0, 88, 0, 0, 0, 0, 0, -24, 0, 0, 0, -64, 0, 0, 0, 0, 0, 16, 0, 0, 0, -32, 0, -40, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, 0, 0, 0, -8, 0, 88, 0, -24, 0, 0, 0, 16, 0, 16, 0, -56, 0, -32, 0, 0, 0, 0, 0, 56, 0, 0, 0, -80, 0, 0, 0, 36, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 104, 0, 8, 0, -32, 0, 8, 0, 0, 0, 72, 0, 0, 0, 56, 0, 0, 0, 48, 0, 0, 0, 16, 0, 48, 0, 0, 0, 0, 0, 24, 0, 48, 0, 96, 0, 0, 0, 0, 0, 32, 0, 56, 0, 0, 0, 24, 0, 96, 0, 8, 0, 32, 0, 96, 0, 88, 0, -144, 0, 64, 0, -48, 0, 0, 0, 0, 0, 0, 0, -112, 0, 16, 0, 4, 0, 64, 0, 64, 0, 0, 0, 64, 0, 0, 0, -24, 0, 0, 0, -120, 0, 0, 0, 48, 0, 0, 0, 48, 0, 64, 0, -120, 0, 64, 0, 0, 0, -32, 0, 8, 0, -64, 0, -40, 0, 0, 0, -16, 0, 88, 0, 8, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, -32, 0, 48, 0, 0, 0, 136, 0, -16, 0, 0, 0, -64, 0, -80, 0, -32, 0, -48, 0, 0, 0, 8, 0, -64, 0, 104, 0, 0, 0, 0, 0, -80, 0, -80, 0, -64, 0, 160, 0, 0, 0, 0, 0, 64, 0, 8, 0, -96, 0, -48, 0, 96, 0, 48, 0, 72, 0, 52, 0, -32, 0, -88, 0, 0, 0, 168, 0, 0, 0, 0, 0, -32, 0, 120, 0, -32, 0, 16, 0, 0, 0, 8, 0, 32, 0, 0, 0, -32, 0, 0, 0, 64, 0, 64, 0, -64, 0, 32, 0, 0, 0, 240, 0, -48, 0, -48, 0, -96, 0, -40, 0, 48, 0, -48, 0, -96, 0, 0, 0, 0, 0, 160, 0, 64, 0, 16, 0, 16, 0, 0, 0, 0, 0, 128, 0, 104, 0, 192, 0, 32, 0, -32, 0, -96, 0, -64, 0, -32, 0, -32, 0, -16, 0, 0, 0, -96, 0, 144, 0, 0, 0, -16, 0, 32, 0, 56, 0, -96, 0, 8, 0, -32, 0, -304, 0, -64, 0, 24, 0, 0, 0, 0, 0, 16, 0, -16, 0, -96, 0, -16, 0, -128, 0, -168, 0, -32, 0, 128, 0, -32, 0, 156, 0, 192, 0, 128, 0, 16, 0, -56, 0, 160, 0, 48, 0, -128, 0, 40, 0, 0, 0, -96, 0, 88, 0, -32, 0, 96, 0, -56, 0, -32, 0, -144, 0, -128, 0, 104, 0, 0, 0, 160, 0, -32, 0, -80, 0, -128, 0, 24, 0, 96, 0, -32, 0, -32, 0, 224, 0, -32, 0, 8, 0, -64, 0, 88, 0, 96, 0, 0, 0, -80, 0, -40, 0, -96, 0, 128, 0, 0, 0, -144, 0, 96, 0, 48, 0, -192, 0, -32, 0, -32, 0, -120, 0, -48, 0, 8, 0, 0, 0, -64, 0, 0, 0, -224, 0, -64, 0, 0, 0, -128, 0, 24, 0, 0, 0, -224, 0, 88, 0, 16, 0, 128, 0, 152, 0, 16, 0, -112, 0, 64, 0, -32, 0, -128, 0, -104, 0, -32, 0, 64, 0, -32, 0, 112, 0, -128, 0, 0, 0, 16, 0, -16, 0, 0, 0, 48, 0, 0, 0, 48, 0, -32, 0, -96, 0, -80, 0, 4, 0, 128, 0, -48, 0, 0, 0, -48, 0, -32, 0, 104, 0, -128, 0, 240, 0, -32, 0, 0, 0, -96, 0, 96, 0, -96, 0, -64, 0, 0, 0, -400, 0, 0, 0, 8, 0, 0, 0, 48, 0, -32, 0, -240, 0, 0, 0, 56, 0, 0, 0, 72, 0, 88, 0, 48, 0, 32, 0, 0, 0, -32, 0, -248, 0, -32, 0, 32, 0, 0, 0, 0, 0, 64, 0, 8, 0, -32, 0, 0, 0, -128, 0, 0, 0, -160, 0, 352, 0, 0, 0, 64, 0, 16, 0, 96, 0, -64, 0, 8, 0, 96, 0, 160, 0, -192, 0, -24, 0, -32, 0, -232, 0, 64, 0, 56, 0, 64, 0, 24, 0, 96, 0, 128, 0, 0, 0, -272, 0, 0, 0, -8, 0, -160, 0, -24, 0, -32, 0, 16, 0, 64, 0, -64, 0, -192, 0, -32, 0, 0, 0, 144, 0, -96, 0, 104, 0, 0, 0, 0, 0, 0, 0, -256, 0, 120, 0, -112, 0, 64, 0, -168, 0, 80, 0, 0, 0, -128, 0, 0, 0, -96, 0, -104, 0, -96, 0, 64, 0, -32, 0, 76, 0, 128, 0, 144, 0, 16, 0, 0, 0, 0, 0, -32, 0, 256, 0, 464, 0, -32, 0, -16, 0, 128, 0, 0, 0, 64, 0, 16, 0, 0, 0, -248, 0, 128, 0, 96, 0, 96, 0, -24, 0, -32, 0, 112, 0, 32, 0, 48, 0, 160, 0, 120, 0, 16, 0, -48, 0, 0, 0, -40, 0, -32, 0, 56, 0, -96, 0, -112, 0, 144, 0, 24, 0, 160, 0, -64, 0, 0, 0, 96, 0, 160, 0, 80, 0, 0, 0, 64, 0, 0, 0, -64, 0, 40, 0, 0, 0, -32, 0, -160, 0, 0, 0, 0, 0, 192, 0, 8, 0, -192, 0, -96, 0, 0, 0, -16, 0, -32, 0, -48, 0, 0, 0, 264, 0, 80, 0, 0, 0, -160, 0, 8, 0], 'weight': 2, 'weight_parity': 1}