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

Formats: - HTML - YAML - JSON - 2026-08-26T00:33:18.773580

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

{'Nk2': 1680, 'analytic_conductor': 3.353716884893776, 'char_conductor': 60, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 2, 'char_parity': 1, 'char_values': [420, 2, [211, 281, 337, 241], [1, 1, 1, 2]], 'conrey_index': 239, 'cusp_dim': 88, 'dim': 72, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17, 43], 'hecke_orbit_code': 755947798948, 'hecke_orbit_dims': [4, 4, 8, 8, 8, 8, 16, 16], 'id': 106541, 'label': '420.2.l', 'level': 420, '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, 7], 'level_radical': 210, 'mf_dim': 104, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 8, 'relative_dim': 72, 'sturm_bound': 192, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -24, 0, 0, 0, -32, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, -24, -24, 0, 0, 72, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 52, -64, 0, 0, 52, 0, -76, 0, 0, -48, 12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, -16, 0, 0, 0, 24, 0, 0, 0, 0, -56, 0, 0, 0, -152, 0, 60, 0, 0, 0, -52, 0, 0, 0, 0, 8, -40, 0, 0, -16, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 96, 88, 0, 0, 80, 0, 20, 0, 0, 0, 40, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 72, 0, 0, -92, -80, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 64, 0, 0, 0, -144, 0, 0, 0, 0, -48, 136, 0, 0, -216, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 28, -160, 0, 0, 120, 0, 16, 0, 0, 24, 168, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -192, 0, 0, -40, 104, 0, 0, 0, 0, -32, 0, 0, 0, -72, 0, -84, 0, 0, 0, 136, 0, 0, 0, 0, 104, 40, 0, 0, 128, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -36, 80, 0, 0, 32, 0, 88, 0, 0, 32, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 56, 0, 0, -48, -80, 0, 0, 0, 0, -104, 0, 0, 0, -104, 0, 264, 0, 0, 0, -60, 0, 0, 0, 0, -88, -88, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 56, 0, -44, 0, 0, -216, -120, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, -128, 0, 0, -92, 64, 0, 0, 0, 0, -120, 0, 0, 0, 72, 0, -56, 0, 0, 0, -160, 0, 0, 0, 0, 56, 424, 0, 0, 96, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -196, 72, 0, 0, -24, 0, -136, 0, 0, 128, 40, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 160, 0, 0, 100, -40, 0, 0, 0, 0, 64, 0, 0, 0, -8, 0, -192, 0, 0, 0, 12, 0, 0, 0, 0, -112, -128, 0, 0, -48, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 44, -272, 0, 0, -152, 0, 128, 0, 0, 120, -176, 0, 0, 0, 0, 0, -440, 0, 0, 0, 0, 0, 0, 0, -192, 264, 0, 0, 0, 0, 144, 0, 0, 0, 208, 0, -312, 0, 0, 0, -32, 0, 0, 0, 0, 192, -344, 0, 0, -16, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 56, 128, 0, 0, -380, 0, -440, 0, 0, 192, 8, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 264, 0, 0, 64, 40, 0, 0, 0, 0, -28, 0, 0, 0, -24, 0, 8, 0, 0, 0, 184, 0, 0, 0, 0, -80, -40, 0, 0, -24, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 76, -240, 0, 0, 136, 0, 116, 0, 0, -96, 144, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, -136, 0, 0, 280, -176, 0, 0, 0, 0, 332, 0, 0, 0, 120, 0, 244, 0, 0, 0, 192, 0, 0, 0, 0, 168, -88, 0, 0, -112, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -144, 432, 0, 0, -72, 0, 464, 0, 0, -72, 96, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 176, 0, 0, 144, -392, 0, 0, 0, 0, -72, 0, 0, 0, 232, 0, -128, 0, 0, 0, 360, 0, 0, 0, 0, 128, 112, 0, 0, -352, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -240, -224, 0, 0, -136, 0, 376, 0, 0, 184, -336, 0, 0, 0, 0, 0, 484, 0, 0, 0, 0, -104, 0, 0, 208, 48, 0, 0, 0, 0, -120, 0, 0, 0, 328, 0, 472, 0, 0, 0, -56, 0, 0, 0, 0, 0, -160, 0, 0, 160, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, 60, 0, 0, 0, 176, 0, -196, 0, 0, 408, -152, 0, 0, 0, 0, 0, 440, 0, 0, 0, 0, 160, 0, 0, -24, 0, 0, 0, 0, 0, -112, 0, 0, 0, 56, 0, -200, 0, 0, 0, 24, 0, 0, 0, 0, -384, 352, 0, 0, 80, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, -460, 0, 0, 0, -12, 0, -376, 0, 0, -544, 272, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, -144, 0, 0, 312, 56, 0, 0, 0, 0, 204, 0, 0, 0, -256, 0, -440, 0, 0, 0, -392, 0, 0, 0, 0, 64, -208, 0, 0, -288, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 108, 152, 0, 0, -40, 0, 284, 0, 0, -344, -688, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, -124, -312, 0, 0, 0, 0, 352, 0, 0, 0, 112, 0, -496, 0, 0, 0, 216, 0, 0, 0, 0, -184, 24, 0, 0, 16, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 156, -96, 0, 0, -72, 0, -572, 0, 0, 64, 144, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, -296, 0, 0, 88, -48, 0, 0, 0, 0, -152, 0, 0, 0, -32, 0, 184, 0, 0, 0, 424, 0, 0, 0, 0, 104, -592, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 276, -24, 0, 0, -200, 0, 184, 0, 0, 112, 440, 0, 0, 0, 0, 0, -1104, 0, 0, 0, 0, 360, 0, 0, 224, 336, 0, 0, 0, 0, 596, 0, 0, 0, -16, 0, 344, 0, 0, 0, -256], 'weight': 2, 'weight_parity': 1}