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

Formats: - HTML - YAML - JSON - 2026-06-15T02:01:39.132112

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': 6800, 'analytic_conductor': 13.574568343617665, 'char_conductor': 17, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 4, 'char_parity': 1, 'char_values': [1700, 4, [851, 477, 1601], [4, 4, 3]], 'conrey_index': 701, 'cusp_dim': 504, 'dim': 56, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 962106230436, 'hecke_orbit_dims': [2, 2, 4, 12, 12, 12, 12], 'id': 402241, 'label': '1700.2.o', 'level': 1700, '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, 5, 17], 'level_radical': 170, 'mf_dim': 576, 'mf_new_dim': 56, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 540, 'trace_bound': 3, 'trace_display': [0, -2, 0, -2], 'traces': [56, 0, -2, 0, 0, 0, -2, 0, 0, 0, 2, 0, -12, 0, 0, 0, 4, 0, 0, 0, 12, 0, -2, 0, 0, 0, -8, 0, 0, 0, -14, 0, 28, 0, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 24, 0, 0, 0, -18, 0, 0, 0, 0, 0, 20, 0, 0, 0, -24, 0, -38, 0, 0, 0, -40, 0, -20, 0, 2, 0, 28, 0, 0, 0, 0, 0, 14, 0, -20, 0, 0, 0, 0, 0, 0, 0, 76, 0, -8, 0, 0, 0, 0, 0, 60, 0, 6, 0, -44, 0, 16, 0, 0, 0, 14, 0, -20, 0, 0, 0, 8, 0, 0, 0, 0, 0, -74, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, -42, 0, -4, 0, 0, 0, 12, 0, -82, 0, -24, 0, 68, 0, 0, 0, -38, 0, 16, 0, 0, 0, -76, 0, 0, 0, -128, 0, -104, 0, 0, 0, 18, 0, 0, 0, -86, 0, 56, 0, -20, 0, 12, 0, 0, 0, -44, 0, 0, 0, -20, 0, -60, 0, 0, 0, 58, 0, 0, 0, 24, 0, 20, 0, 0, 0, -20, 0, -90, 0, 56, 0, 36, 0, 0, 0, 138, 0, 44, 0, -62, 0, 0, 0, 0, 0, 44, 0, 0, 0, 24, 0, 0, 0, 0, 0, 114, 0, 0, 0, 80, 0, -84, 0, 0, 0, -100, 0, 88, 0, 120, 0, -26, 0, 0, 0, 0, 0, 20, 0, 88, 0, 0, 0, 0, 0, 0, 0, 172, 0, -16, 0, 0, 0, 0, 0, 164, 0, -24, 0, 24, 0, -32, 0, 0, 0, 0, 0, 34, 0, 0, 0, 26, 0, 0, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 12, 0, 24, 0, 116, 0, 0, 0, -56, 0, -48, 0, 26, 0, -20, 0, 0, 0, -96, 0, -4, 0, 0, 0, 16, 0, 0, 0, -292, 0, -104, 0, 0, 0, 52, 0, 0, 0, -24, 0, 132, 0, -84, 0, -120, 0, 0, 0, -30, 0, 0, 0, -84, 0, -8, 0, 0, 0, 216, 0, 0, 0, 112, 0, -110, 0, 0, 0, -58, 0, -28, 0, 68, 0, 60, 0, 0, 0, 100, 0, -26, 0, -48, 0, 0, 0, 0, 0, 44, 0, 0, 0, -42, 0, 0, 0, 0, 0, 148, 0, 0, 0, 76, 0, 28, 0, 0, 0, -84, 0, -168, 0, -16, 0, 20, 0, 0, 0, 0, 0, 70, 0, -164, 0, 0, 0, 0, 0, 0, 0, 144, 0, 86, 0, 0, 0, 0, 0, 164, 0, 218, 0, -152, 0, 40, 0, 0, 0, 12, 0, 72, 0, 0, 0, 132, 0, 0, 0, 0, 0, -52, 0, 0, 0, 192, 0, 0, 0, 0, 0, -32, 0, -44, 0, -56, 0, 0, 0, 16, 0, -114, 0, -112, 0, 52, 0, 0, 0, -98, 0, -260, 0, 0, 0, -112, 0, 0, 0, -348, 0, -22, 0, 0, 0, -74, 0, 0, 0, -206, 0, 104, 0, 68, 0, -104, 0, 0, 0, -44, 0, 0, 0, 88, 0, 16, 0, 0, 0, 34, 0, 0, 0, -36, 0, -180, 0, 0, 0, -100, 0, -238, 0, -172, 0, -164, 0, 0, 0, 158, 0, -172, 0, -148, 0, 0, 0, 0, 0, 20, 0, 0, 0, 52, 0, 0, 0, 0, 0, 350, 0, 0, 0, -126, 0, -80, 0, 0, 0, -156, 0, 28, 0, -92, 0, 8, 0, 0, 0, 0, 0, -16, 0, 236, 0, 0, 0, 0, 0, 0, 0, 160, 0, 24, 0, 0, 0, 0, 0, 186, 0, 88, 0, -40, 0, -136, 0, 0, 0, 8, 0, 170, 0, 0, 0, 20, 0, 0, 0, 0, 0, -184, 0, 0, 0, 212, 0, 0, 0, 0, 0, 194, 0, 56, 0, 142, 0, 0, 0, 16, 0, -196, 0, -196, 0, -36, 0, 0, 0, -264, 0, -96, 0, 0, 0, 36, 0, 0, 0, -332, 0, -132, 0, 0, 0, 56, 0, 0, 0, -24, 0, 60, 0, 300, 0, 46, 0, 0, 0, -48, 0, 0, 0, 10, 0, 140, 0, 0, 0, 256, 0, 0, 0, -92, 0, -116, 0, 0, 0, -116, 0, -172, 0, -66, 0, 300, 0, 0, 0, 216, 0, -30, 0, 88, 0, 0, 0, 0, 0, 160, 0, 0, 0, 144, 0, 0, 0, 0, 0, 308, 0, 0, 0, -204, 0, -38, 0, 0, 0, -124, 0, 308, 0, -30, 0, -24, 0, 0, 0, 0, 0, 460, 0, -60, 0, 0, 0, 0, 0, 0, 0, 452, 0, -128, 0, 0, 0, 0, 0, 380, 0, 84, 0, 4, 0, 16, 0, 0, 0, 110, 0, -140, 0, 0, 0, 68, 0, 0, 0, 0, 0, -144, 0, 0, 0, -4, 0, 0, 0, 0, 0, -68, 0, -34, 0, -56, 0, 0, 0, 56, 0, 32, 0, 124, 0, 46, 0, 0, 0, -86, 0, -48, 0, 0, 0, -60, 0, 0, 0, -576, 0, -266, 0, 0, 0, 104, 0, 0, 0, -274, 0, 220, 0, 164, 0, -112, 0, 0, 0, 36, 0, 0, 0, 184, 0, -120, 0, 0, 0, 262, 0, 0, 0, 168, 0, -56, 0, 0, 0, -60, 0, -196, 0, 316, 0, -112, 0, 0, 0, 138, 0, 168, 0, 146, 0, 0, 0, 0, 0, 56, 0, 0, 0, 100, 0, 0, 0, 0, 0, 226, 0, 0, 0, 46, 0, -144, 0, 0, 0, -284, 0, -256, 0, 56, 0, -220, 0, 0, 0, 0, 0, 52, 0, -100, 0, 0, 0, 0, 0, 0, 0, -4, 0, 168, 0, 0, 0, 0, 0, 278, 0, 136, 0, 460, 0, -4, 0, 0, 0, -12, 0, 48, 0, 0, 0, 70, 0, 0, 0, 0, 0, -352, 0, 0, 0, 244, 0, 0, 0, 0, 0, 88, 0, 84, 0, 90, 0, 0, 0, -120, 0, -332, 0, -38, 0, -172, 0, 0, 0, -148, 0, 160, 0], 'weight': 2, 'weight_parity': 1}