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

Formats: - HTML - YAML - JSON - 2026-09-20T14:56:59.011110

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': 4352, 'analytic_conductor': 16.048519521561445, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [272, 2, [239, 69, 241], [2, 2, 1]], 'conrey_index': 33, 'cusp_dim': 102, 'dim': 26, 'eis_dim': 12, 'eis_new_dim': 2, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 68786585872, 'hecke_orbit_dims': [2, 2, 4, 4, 6, 8], 'id': 70122, 'label': '272.4.b', 'level': 272, '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, 17], 'level_radical': 34, 'mf_dim': 114, 'mf_new_dim': 28, 'num_forms': 6, 'prim_orbit_index': 2, 'relative_dim': 26, 'sturm_bound': 144, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [26, 0, 0, 0, 0, 0, 0, 0, -238, 0, 0, 0, -48, 0, 8, 0, -26, 0, -136, 0, 52, 0, 0, 0, -574, 0, 0, 0, 0, 0, 0, 0, 204, 0, 520, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -840, 0, -982, 0, -904, 0, 676, 0, -1288, 0, 0, 0, -432, 0, 0, 0, 0, 0, 0, 0, 440, 0, 60, 0, 0, 0, 0, 0, 0, 0, 1196, 0, 0, 0, 1590, 0, -2576, 0, -720, 0, 4232, 0, -832, 0, 0, 0, -916, 0, 0, 0, 0, 0, 0, 0, 208, 0, 400, 0, 0, 0, 0, 0, 0, 0, -1176, 0, 0, 0, 4888, 0, 32, 0, 3576, 0, 834, 0, 4576, 0, 0, 0, -3408, 0, 0, 0, 0, 0, 0, 0, 3936, 0, 1648, 0, 0, 0, 0, 0, 0, 0, 3600, 0, 0, 0, 1868, 0, 10576, 0, -2434, 0, -3720, 0, 4180, 0, 0, 0, -1828, 0, 0, 0, 0, 0, 0, 0, 5262, 0, 2264, 0, 0, 0, 0, 0, 0, 0, -13048, 0, 0, 0, -19352, 0, 1488, 0, -824, 0, -10480, 0, -9608, 0, 0, 0, 21152, 0, 0, 0, 0, 0, 0, 0, -11512, 0, -11968, 0, 0, 0, 0, 0, 0, 0, -2220, 0, 0, 0, -244, 0, -20544, 0, 5088, 0, 7864, 0, 12250, 0, 0, 0, -2320, 0, 0, 0, 0, 0, 0, 0, -1364, 0, -13368, 0, 0, 0, 0, 0, 0, 0, 20096, 0, 0, 0, 11768, 0, -412, 0, 12760, 0, -10480, 0, 3944, 0, 0, 0, -22304, 0, 0, 0, 0, 0, 0, 0, -3112, 0, -23824, 0, 0, 0, 0, 0, 0, 0, -2892, 0, 0, 0, 11360, 0, 29664, 0, 3610, 0, 4352, 0, 5836, 0, 0, 0, -15440, 0, 0, 0, 0, 0, 0, 0, -11824, 0, 7696, 0, 0, 0, 0, 0, 0, 0, -59640, 0, 0, 0, -25096, 0, -1660, 0, 7752, 0, 80, 0, 4072, 0, 0, 0, 45824, 0, 0, 0, 0, 0, 0, 0, 20720, 0, 11060, 0, 0, 0, 0, 0, 0, 0, 23508, 0, 0, 0, 19588, 0, -34488, 0, -20708, 0, 32168, 0, 9218, 0, 0, 0, -9984, 0, 0, 0, 0, 0, 0, 0, 37552, 0, -18160, 0, 0, 0, 0, 0, 0, 0, 14448, 0, 0, 0, 21472, 0, 976, 0, 1448, 0, -7500, 0, -776, 0, 0, 0, -56528, 0, 0, 0, 0, 0, 0, 0, -2024, 0, 21884, 0, 0, 0, 0, 0, 0, 0, 14892, 0, 0, 0, -272, 0, 40568, 0, -15490, 0, -5400, 0, 21584, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 55186, 0, 27720, 0, 0, 0, 0, 0, 0, 0, -39904, 0, 0, 0, -51808, 0, -8544, 0, 27488, 0, 20244, 0, 31360, 0, 0, 0, 25000, 0, 0, 0, 0, 0, 0, 0, 50776, 0, -46860, 0, 0, 0, 0, 0, 0, 0, -33280, 0, 0, 0, 2044, 0, -71704, 0, 28464, 0, 85368, 0, 4724, 0, 0, 0, -64684, 0, 0, 0, 0, 0, 0, 0, -40164, 0, 16832, 0, 0, 0, 0, 0, 0, 0, -17896, 0, 0, 0, 70952, 0, -53948, 0, -35384, 0, 20970, 0, -67920, 0, 0, 0, -43416, 0, 0, 0, 0, 0, 0, 0, -77736, 0, -68656, 0, 0, 0, 0, 0, 0, 0, -27572, 0, 0, 0, 24464, 0, 39072, 0, 49828, 0, -82272, 0, 19040, 0, 0, 0, -18772, 0, 0, 0, 0, 0, 0, 0, -46672, 0, -47792, 0, 0, 0, 0, 0, 0, 0, 10904, 0, 0, 0, -86024, 0, -23620, 0, 51160, 0, -9284, 0, 86320, 0, 0, 0, 23064, 0, 0, 0, 0, 0, 0, 0, 117536, 0, 16140, 0, 0, 0, 0, 0, 0, 0, -11216, 0, 0, 0, 12250, 0, -45744, 0, -38928, 0, 91032, 0, 49588, 0, 0, 0, 26208, 0, 0, 0, 0, 0, 0, 0, 83008, 0, -51816, 0, 0, 0, 0, 0, 0, 0, -46648, 0, 0, 0, 49904, 0, 80748, 0, -43488, 0, -37536, 0, -127080, 0, 0, 0, 29720, 0, 0, 0, 0, 0, 0, 0, -161280, 0, 1724, 0, 0, 0, 0, 0, 0, 0, 18176, 0, 0, 0, -25140, 0, 65080, 0, -44480, 0, -167376, 0, -11536, 0, 0, 0, -7392, 0, 0, 0, 0, 0, 0, 0, 84932, 0, -75680, 0, 0, 0, 0, 0, 0, 0, -1536, 0, 0, 0, -67720, 0, 73406, 0, 106528, 0, -4548, 0, 363752, 0, 0, 0, -30184, 0, 0, 0, 0, 0, 0, 0, 285328, 0, -24988, 0, 0, 0, 0, 0, 0, 0, -38736, 0, 0, 0, -72752, 0, 10856, 0, 112560, 0, 144224, 0, -16464, 0, 0, 0, 94896, 0, 0, 0, 0, 0, 0, 0, -90100, 0, -41760, 0, 0, 0, 0, 0, 0, 0, 10480, 0, 0, 0, 170256, 0, -54244, 0, -113368, 0, 112560, 0, -211776, 0, 0, 0, -79480, 0, 0, 0, 0, 0, 0, 0, -212904, 0, -12032, 0, 0, 0, 0, 0, 0, 0, -140740, 0, 0, 0, 4692, 0, 10712, 0, 76774, 0, -181816, 0, 59248, 0, 0, 0, 7186, 0, 0, 0, 0, 0, 0, 0, -133012, 0, 37048, 0, 0, 0, 0, 0, 0, 0, -6240, 0, 0, 0, -70416, 0, -111056, 0, 226512, 0, -31372, 0, 336000, 0, 0, 0, 9744, 0, 0, 0, 0, 0, 0, 0, 238536, 0, -64000, 0, 0, 0, 0, 0, 0, 0, 72608, 0, 0, 0, 74576, 0, -124936, 0, -24132, 0, 250592, 0, 44208, 0, 0, 0, -36640, 0, 0, 0, 0, 0, 0, 0, 157844, 0, 2952, 0, 0, 0, 0, 0, 0, 0, 114128, 0, 0, 0, 192248, 0, 79540, 0, -246488, 0, -38948, 0, -450320, 0, 0, 0, -94816, 0, 0, 0, 0, 0, 0, 0, -356216, 0, 49472, 0, 0, 0, 0, 0, 0, 0, 43322, 0, 0, 0, -120032, 0, 78184, 0, -31840, 0, -262688, 0, -36212, 0, 0, 0, -32164, 0, 0, 0, 0, 0, 0, 0, 196592, 0, -43120, 0, 0, 0, 0, 0, 0, 0, -19816, 0, 0, 0, -185760, 0], 'weight': 4, 'weight_parity': 1}