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

Formats: - HTML - YAML - JSON - 2026-08-26T16:57:35.380019

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': 10800, 'analytic_conductor': 44.65582405222075, 'char_conductor': 3, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': -1, 'char_values': [432, 2, [271, 325, 353], [2, 2, 1]], 'conrey_index': 161, 'cusp_dim': 270, 'dim': 32, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 274961793456, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 8], 'id': 109582, 'label': '432.5.e', 'level': 432, 'level_is_powerful': True, '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], 'level_radical': 6, 'mf_dim': 306, 'mf_new_dim': 32, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 32, 'sturm_bound': 360, 'trace_bound': 7, 'trace_display': [0, 0, 0, 16], 'traces': [32, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -4368, 0, 0, 0, 0, 0, 3008, 0, 0, 0, 0, 0, 2240, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, 11648, 0, 0, 0, 0, 0, -7456, 0, 0, 0, 0, 0, -1632, 0, 0, 0, 0, 0, -4480, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 9840, 0, 0, 0, 0, 0, -14080, 0, 0, 0, 0, 0, 2240, 0, 0, 0, 0, 0, 1408, 0, 0, 0, 0, 0, -27792, 0, 0, 0, 0, 0, 11904, 0, 0, 0, 0, 0, 32288, 0, 0, 0, 0, 0, -52080, 0, 0, 0, 0, 0, 12000, 0, 0, 0, 0, 0, -12032, 0, 0, 0, 0, 0, 1600, 0, 0, 0, 0, 0, -5760, 0, 0, 0, 0, 0, 30224, 0, 0, 0, 0, 0, 86880, 0, 0, 0, 0, 0, 6784, 0, 0, 0, 0, 0, 99984, 0, 0, 0, 0, 0, 92560, 0, 0, 0, 0, 0, -39040, 0, 0, 0, 0, 0, -231584, 0, 0, 0, 0, 0, 19648, 0, 0, 0, 0, 0, -130512, 0, 0, 0, 0, 0, -75744, 0, 0, 0, 0, 0, -16032, 0, 0, 0, 0, 0, -59984, 0, 0, 0, 0, 0, -120864, 0, 0, 0, 0, 0, -52608, 0, 0, 0, 0, 0, 424704, 0, 0, 0, 0, 0, -59248, 0, 0, 0, 0, 0, 132720, 0, 0, 0, 0, 0, 7456, 0, 0, 0, 0, 0, 48224, 0, 0, 0, 0, 0, 65008, 0, 0, 0, 0, 0, -233104, 0, 0, 0, 0, 0, 208224, 0, 0, 0, 0, 0, -173920, 0, 0, 0, 0, 0, 41760, 0, 0, 0, 0, 0, 679424, 0, 0, 0, 0, 0, -268064, 0, 0, 0, 0, 0, 11488, 0, 0, 0, 0, 0, -195040, 0, 0, 0, 0, 0, -177120, 0, 0, 0, 0, 0, 183424, 0, 0, 0, 0, 0, -194560, 0, 0, 0, 0, 0, -11152, 0, 0, 0, 0, 0, -799696, 0, 0, 0, 0, 0, 99872, 0, 0, 0, 0, 0, -356192, 0, 0, 0, 0, 0, 133296, 0, 0, 0, 0, 0, 515568, 0, 0, 0, 0, 0, 213664, 0, 0, 0, 0, 0, 789152, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 295168, 0, 0, 0, 0, 0, -54176, 0, 0, 0, 0, 0, -982080, 0, 0, 0, 0, 0, 272672, 0, 0, 0, 0, 0, -931040, 0, 0, 0, 0, 0, -643808, 0, 0, 0, 0, 0, -147328, 0, 0, 0, 0, 0, 24144, 0, 0, 0, 0, 0, 386080, 0, 0, 0, 0, 0, 264288, 0, 0, 0, 0, 0, 2215584, 0, 0, 0, 0, 0, -71120, 0, 0, 0, 0, 0, 1587920, 0, 0, 0, 0, 0, -554528, 0, 0, 0, 0, 0, -1363680, 0, 0, 0, 0, 0, -696752, 0, 0, 0, 0, 0, -1901424, 0, 0, 0, 0, 0, 143424, 0, 0, 0, 0, 0, -692864, 0, 0, 0, 0, 0, 5616, 0, 0, 0, 0, 0, 1942448, 0, 0, 0, 0, 0, 642336, 0, 0, 0, 0, 0, 2329728, 0, 0, 0, 0, 0, 631392, 0, 0, 0, 0, 0, 522816, 0, 0, 0, 0, 0, 62720, 0, 0, 0, 0, 0, -2010880, 0, 0, 0, 0, 0, 178576, 0, 0, 0, 0, 0, -4644896, 0, 0, 0, 0, 0, 566112, 0, 0, 0, 0, 0, -1879520, 0, 0, 0, 0, 0, 52720, 0, 0, 0, 0, 0, 1593152, 0, 0, 0, 0, 0, -1467328, 0, 0, 0, 0, 0, 4135200, 0, 0, 0, 0, 0, -90288, 0, 0, 0, 0, 0, 420848, 0, 0, 0, 0, 0, 391456, 0, 0, 0, 0, 0, -2143776, 0, 0, 0, 0, 0, -357792, 0, 0, 0, 0, 0, -2261712, 0, 0, 0, 0, 0, 1520864, 0, 0, 0, 0, 0, -1021952, 0, 0, 0, 0, 0, -1075424, 0, 0, 0, 0, 0, 4417216, 0, 0, 0, 0, 0, -540512, 0, 0, 0, 0, 0, 4311360, 0, 0, 0, 0, 0, -56832, 0, 0, 0, 0, 0, 1968080, 0, 0, 0, 0, 0, 791520, 0, 0, 0, 0, 0, -4280320, 0, 0, 0, 0, 0, 1364544, 0, 0, 0, 0, 0, -5112688, 0, 0, 0, 0, 0, -979424, 0, 0, 0, 0, 0, -2566624, 0, 0, 0, 0, 0, 1031248, 0, 0, 0, 0, 0, 3299296, 0, 0, 0, 0, 0, -469760, 0, 0, 0, 0, 0, 6186272, 0, 0, 0, 0, 0, -1365328, 0, 0, 0, 0, 0, 3494416, 0, 0, 0, 0, 0, -1919360, 0, 0, 0, 0, 0, -4287040, 0, 0, 0, 0, 0, 1045312, 0, 0, 0, 0, 0, -8771232, 0, 0, 0, 0, 0, -2397376, 0, 0, 0, 0, 0, -1156128, 0, 0, 0, 0, 0, -314608, 0, 0, 0, 0, 0, 6016128, 0, 0, 0, 0, 0, 2361120, 0, 0, 0, 0, 0, 9244128, 0, 0, 0, 0, 0, -497760, 0, 0, 0, 0, 0, 3599120, 0, 0, 0, 0, 0, 1784832, 0, 0, 0, 0, 0, -5709696, 0, 0, 0, 0, 0, -783136, 0, 0, 0, 0, 0, -13144592, 0, 0, 0, 0, 0, -503552, 0, 0, 0, 0, 0, -3894176, 0, 0, 0, 0, 0, 1374192, 0, 0, 0, 0, 0, 6593424, 0, 0, 0, 0, 0, 2250464, 0, 0, 0, 0, 0, 9396608, 0, 0, 0, 0, 0, 1765456, 0, 0, 0, 0, 0, 886656, 0, 0, 0, 0, 0, 1161728, 0, 0, 0, 0, 0, -7081728, 0, 0, 0, 0, 0, -3588400, 0, 0, 0, 0, 0, -10675008, 0, 0, 0, 0, 0, -441184, 0, 0, 0, 0, 0, -6980128, 0, 0, 0, 0, 0, -1367680, 0, 0, 0, 0, 0, 5924736, 0, 0, 0, 0, 0, 713888, 0, 0, 0, 0, 0, 14610912, 0, 0, 0, 0, 0, 2091408, 0, 0, 0, 0, 0, 6355376, 0, 0, 0, 0, 0, 268672, 0, 0, 0, 0, 0, -7728384, 0, 0, 0, 0, 0, -167664, 0, 0, 0, 0, 0, -6593520, 0, 0, 0, 0, 0, 362016, 0, 0, 0], 'weight': 5, 'weight_parity': -1}