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

Formats: - HTML - YAML - JSON - 2026-06-03T03:45:11.523008

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': 37920, 'analytic_conductor': 139.83452671360524, 'char_conductor': 395, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': 1, 'char_values': [2370, 6, [791, 1897, 1741], [6, 3, 4]], 'conrey_index': 529, 'cusp_dim': 2864, 'dim': 480, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_orbit_code': 1168298215746, 'id': 549164, 'label': '2370.4.r', 'level': 2370, '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': True, 'level_primes': [2, 3, 5, 79], 'level_radical': 2370, 'mf_dim': 2896, 'mf_new_dim': 480, 'prim_orbit_index': 10, 'relative_dim': 240, 'sturm_bound': 1920, 'trace_display': [0, 0, 0, 0], 'traces': [480, 0, 0, 960, 0, 24, 0, 0, 2160, 24, 0, 0, 0, 0, 84, -3840, 0, 0, -144, 0, -192, 0, 0, -96, 214, 0, 0, 0, 64, 0, 672, 0, 0, -400, -1288, -8640, 0, 0, -684, 48, 768, 0, 0, 0, 0, 144, 0, 0, 12900, 112, -672, 0, 0, -216, -510, 0, 0, 0, 1088, 168, -1072, 0, 0, -30720, 2728, 744, 0, 0, 2592, -1364, -368, 0, 0, -464, -1200, 576, 0, 0, -4272, 0, -19440, 0, 0, -384, 1080, 1168, 0, 0, 2704, 108, -12016, 0, 0, 9152, 8216, -768, 0, 0, 0, 1712, 7472, 0, 0, 0, -462, 224, 0, 0, -1528, 1184, 3264, 0, 0, -1824, 5716, -256, 0, 0, -9592, 0, -30184, 0, 0, -2688, 3648, 0, 0, 0, -6900, 1712, 768, 0, 0, 7872, 378, -3200, 0, 0, 4128, -10304, 0, 0, 0, -69120, -658, -4544, 0, 0, -2144, -984, -6352, 0, 0, 3384, -712, 2736, 0, 0, -14352, -192, 4968, 0, 0, 1536, 4416, 23072, 0, 0, 45988, 5456, 1296, 0, 0, -4320, -14236, 0, 0, 0, 45504, 0, -1976, 0, 0, 288, 16432, 5304, 0, 0, -864, 488, -58048, 0, 0, -6560, -5016, 103200, 0, 0, -15616, -448, 672, 0, 0, -5376, 9624, -4032, 0, 0, 10792, 1680, 24032, 0, 0, 1560, -29760, -1728, 0, 0, 18432, -4080, 26784, 0, 0, 0, 3852, 408, 0, 0, -20864, 5016, -10500, 0, 0, 0, -4404, 8704, 0, 0, 22840, -672, -8700, 0, 0, -2144, -55000, 1248, 0, 0, 384, 2040, -46736, 0, 0, -15648, -4896, -61440, 0, 0, -30576, 5456, -576, 0, 0, 5952, -3596, -5552, 0, 0, 8864, 0, -6572, 0, 0, 704, -24240, 5184, 0, 0, -6048, 5456, 2568, 0, 0, -736, 300, 4840, 0, 0, -75360, -8720, 12240, 0, 0, 8064, 61080, 1856, 0, 0, -31328, 4800, -12032, 0, 0, 4608, 12740, -7200, 0, 0, -14520, 3700, -29544, 0, 0, 1840, -23184, -10752, 0, 0, 30132, 0, -9492, 0, 0, -155520, -28016, 11488, 0, 0, -28880, -14184, -90064, 0, 0, -48528, -10668, 1536, 0, 0, -9504, -4320, 4992, 0, 0, -4672, 21828, 36704, 0, 0, 113616, -20352, 6156, 0, 0, -2448, 1540, 5408, 0, 0, -41176, -432, -144112, 0, 0, -24032, -78960, 2448, 0, 0, 3456, 7456, -57032, 0, 0, -40672, -3108, 18304, 0, 0, -68328, 65728, -12576, 0, 0, -1536, 22668, 12272, 0, 0, 30160, 14496, 14200, 0, 0, 43856, 65880, 0, 0, 0, -10464, 3424, 3768, 0, 0, 14944, 0, 23496, 0, 0, 179112, 109392, 12432, 0, 0, 648, -17676, 0, 0, 0, -59960, 1848, 34872, 0, 0, 448, -106636, 14256, 0, 0, 7152, -624, -16344, 0, 0, 31328, -29400, -12224, 0, 0, 30296, -4736, 232200, 0, 0, -13056, -40160, 23296, 0, 0, -9888, -1008, -4488, 0, 0, -30520, 46108, -14592, 0, 0, -12096, 45728, -5592, 0, 0, -2048, -22710, -98064, 0, 0, 59936, -3048, 20172, 0, 0, -24, -64304, 38368, 0, 0, 7520, 0, 45064, 0, 0, -241472, -24868, -3888, 0, 0, 87240, 57760, 22720, 0, 0, -44592, -9180, -21504, 0, 0, 58496, 7296, -34176, 0, 0, 0, 44790, -15200, 0, 0, -2576, 40824, -14800, 0, 0, -47112, 76664, 27600, 0, 0, 25368, 13696, 31136, 0, 0, 1536, 24984, -11920, 0, 0, 143228, 25456, 19584, 0, 0, -20688, -59956, 62976, 0, 0, 10448, -1512, -182224, 0, 0, -6400, 29704, 3552, 0, 0, -4824, 68876, 49720, 0, 0, -138624, -18156, -16512, 0, 0, -33844, -20608, -31056, 0, 0, 0, 76448, 4592, 0, 0, 7704, -53760, -106432, 0, 0, -24544, 25920, -138240, 0, 0, 42912, -5264, 3800, 0, 0, -9088, 12276, -203792, 0, 0, -64960, 55344, 72, 0, 0, 13392, 22464, 8576, 0, 0, 36864, -1968, 84708, 0, 0, 25408, -192936, 5880, 0, 0, 6420, 36336, 298112, 0, 0, 11872, -72096, -13536, 0, 0, 103928, -5696, 11664, 0, 0, 21888, 26578, 61920, 0, 0, -1736, 12276, 26384, 0, 0, -113312, 118808, -28704, 0, 0, -1656, -1536, 38944, 0, 0, 39744, -5544, -253472, 0, 0, 83560, 87232, -37944, 0, 0, 5472, -88254, -6144, 0, 0, 60656, -17664, -336, 0, 0, 46144, -21048, 4176, 0, 0, 14544, -126544, 54112, 0, 0, 132432, 10800, -183952, 0, 0, 87324, 10912, 21396, 0, 0, 10368, 43536, 167664, 0, 0, -118800, -75024, -19552, 0, 0, -132704, 552, -34560, 0, 0, -54288, -28472, 466448, 0, 0, 0, -5940, 23688, 0, 0, -77736, 70368, -24192, 0, 0, -12288, -69256, 91008, 0, 0, 152224, 0, -385032, 0, 0, 7904, 89280, 2688, 0, 0, -349920, 98032, -96768, 0, 0, -32640, -87816, -1152, 0, 0, 4288, 32864, 108648, 0, 0, 42432, 24798, 55920, 0, 0, -12816, 8640, -10256, 0, 0, -91024, 163684, 3456, 0, 0, -97188, -1952, -33064, 0, 0, -116096, -9720, -94752, 0, 0, 249744, 25488, 120864, 0, 0, -10512, 179516, -52480, 0, 0, 34032, -40128, 77520, 0, 0, 206400, -211320, 69048, 0, 0, 123216, -31248, 123328, 0, 0, 50192, -10272, -31232, 0, 0, -44728, -3584, 12168, 0, 0, 5376, -72416, -185456, 0, 0, -146368, -972, -206544, 0, 0, -96880, 38128, -10752, 0, 0, -54072, -38496, -154632, 0, 0, 16128, 48270, -125776, 0, 0, 34952, 36608, -251496, 0, 0, 76704, 78388, 86336, 0, 0, -32552, 3360, -138532, 0, 0, -96128, 72632, 41184, 0, 0, -63468, -20544, 818048, 0, 0, -319360, 147888, -6240, 0, 0, -4144, -59520, -283440, 0, 0, -3456, 38876, 123664, 0, 0, -70656, 48936, 319968, 0, 0, -149488, 211292, 36864, 0, 0, 28536, -8160, -288160, 0, 0, 214272, -100800, 179824, 0, 0, 282380, -96240, 0, 0, 0, 50880, 107778, 0, 0, 0, 308784, 7704, -95368, 0, 0, -1632, 24000, 64536, 0, 0, 33624, -4144, 1888, 0, 0, -25344, -33144, -41728, 0, 0, 68732, -20064, -69000, 0, 0, 42000, 222108, -59616, 0, 0, -229376, -63312, -177120, 0, 0, 71712, -51348, 0, 0, 0, 111264, -35232, -181528, 0, 0, 17408, 4158, 97640, 0, 0, -162064, 44224, 163320, 0, 0, 1008, -15752, 182720, 0, 0, 5880, -5376, -71280, 0, 0, 34800, -148624, 277632, 0, 0, -179184, -44280, 388416, 0, 0, -164048, -166248, 8576, 0, 0, -300288, -110000, -27504, 0, 0, -4992, -228222, 506656, 0, 0, 568208, -10656, 210988, 0, 0, -477728, 140492, 768, 0, 0, -29376, 16320], 'weight': 4, 'weight_parity': 1}