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

Formats: - HTML - YAML - JSON - 2026-05-01T13:33:31.797549

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': 1584, 'analytic_conductor': 5.841189090568321, 'char_conductor': 33, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [99, 2, [56, 46], [1, 1]], 'conrey_index': 98, 'cusp_dim': 32, 'dim': 12, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206225539171, 'hecke_orbit_dims': [2, 2, 8], 'id': 26498, 'label': '99.4.d', 'level': 99, '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, 11], 'level_radical': 33, 'mf_dim': 40, 'mf_new_dim': 12, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 12, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 456, 0, 0, -468, 0, 0, 0, 0, 0, -360, 0, 0, -888, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1716, 0, 0, 0, 0, 0, 2232, 0, 0, -3408, 0, 0, 0, 0, 0, 1008, 0, 0, -1440, 0, 0, -6072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8568, 0, 0, 0, 0, 0, 2448, 0, 0, -624, 0, 0, 0, 0, 0, 8016, 0, 0, 2232, 0, 0, -10824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6720, 0, 0, 0, 0, 0, 4740, 0, 0, -13608, 0, 0, 0, 0, 0, 10176, 0, 0, -4128, 0, 0, -30360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19128, 0, 0, 0, 0, 0, 10416, 0, 0, -17112, 0, 0, 0, 0, 0, 912, 0, 0, 7992, 0, 0, -9516, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7320, 0, 0, 0, 0, 0, 12912, 0, 0, -9768, 0, 0, 0, 0, 0, 12744, 0, 0, -12960, 0, 0, -7512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 43344, 0, 0, 0, 0, 0, 17472, 0, 0, -11472, 0, 0, 0, 0, 0, 16104, 0, 0, -11664, 0, 0, -22224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15096, 0, 0, 0, 0, 0, 21000, 0, 0, -37176, 0, 0, 0, 0, 0, -46536, 0, 0, -12048, 0, 0, 7920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22584, 0, 0, 0, 0, 0, -34824, 0, 0, 58836, 0, 0, 0, 0, 0, 34608, 0, 0, 8616, 0, 0, 16512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20208, 0, 0, 0, 0, 0, 7032, 0, 0, -11280, 0, 0, 0, 0, 0, -15816, 0, 0, -22752, 0, 0, -13176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17856, 0, 0, 0, 0, 0, -28200, 0, 0, -7248, 0, 0, 0, 0, 0, 14556, 0, 0, 60528, 0, 0, 11136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55296, 0, 0, 0, 0, 0, -33552, 0, 0, 112056, 0, 0, 0, 0, 0, -37416, 0, 0, 16632, 0, 0, 109728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44664, 0, 0, 0, 0, 0, -44088, 0, 0, 35496, 0, 0, 0, 0, 0, 25056, 0, 0, 39672, 0, 0, 14544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -155520, 0, 0, 0, 0, 0, 5808, 0, 0, -68208, 0, 0, 0, 0, 0, -113280, 0, 0, 25512, 0, 0, 100824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49608, 0, 0, 0, 0, 0, -96576, 0, 0, 118224, 0, 0, 0, 0, 0, 52464, 0, 0, -23304, 0, 0, 53376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -86160, 0, 0, 0, 0, 0, 40776, 0, 0, 50208, 0, 0, 0, 0, 0, -152712, 0, 0, -146196, 0, 0, 68952, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -77400, 0, 0, 0, 0, 0, -101232, 0, 0, -40704, 0, 0, 0, 0, 0, -11544, 0, 0, 205368, 0, 0, 116064, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84960, 0, 0, 0, 0, 0, 53112, 0, 0, 131856, 0, 0, 0, 0, 0, -18888, 0, 0, -128784, 0, 0, 193800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 148416, 0, 0, 0, 0, 0, 41328, 0, 0, 172080, 0, 0, 0, 0, 0, 84156, 0, 0, -52032, 0, 0, -110136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -114096, 0, 0, 0, 0, 0, -81072, 0, 0, -233568, 0, 0, 0, 0, 0, -91536, 0, 0, 57528, 0, 0, -94344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 121608, 0, 0, 0, 0, 0, -92760, 0, 0, 16032, 0, 0, 0, 0, 0, 8688, 0, 0, -64296, 0, 0, 50496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20520, 0, 0, 0, 0, 0, 174816, 0, 0, 28752, 0, 0, 0, 0, 0, -30312, 0, 0, 1104, 0, 0, -114144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74952, 0, 0, 0, 0, 0, -100488, 0, 0, -97320, 0, 0, 0, 0, 0, 210264, 0, 0, 280776, 0, 0, -149232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68760, 0, 0, 0, 0, 0, 15192, 0, 0, 81792, 0, 0, 0, 0, 0, 6456, 0, 0, -270648, 0, 0, -124320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 220104, 0, 0, 0, 0, 0, 175272, 0, 0, -80232, 0, 0, 0, 0, 0, 23328, 0, 0, 137856, 0, 0, -84456, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176364, 0, 0, 0, 0, 0, 101616, 0, 0, -583704, 0, 0, 0, 0, 0, 246672, 0, 0, 225408, 0, 0, -316344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 530520, 0, 0, 0, 0, 0, 1248, 0, 0, 155280, 0, 0, 0, 0, 0, 122016, 0, 0, -160032, 0, 0, -6912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54624, 0, 0, 0, 0, 0, 228696, 0, 0, 77424, 0, 0, 0, 0, 0, -232224, 0, 0, -236376, 0, 0, -126960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -83424, 0, 0, 0, 0, 0, -176088, 0, 0, -243888, 0, 0, 0, 0, 0, 217584, 0, 0, 164328, 0, 0, -182436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 286272, 0, 0, 0, 0, 0, 103152, 0, 0, -32112, 0, 0, 0, 0, 0, -195096, 0, 0, -203688, 0, 0, -12240, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}