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

Formats: - HTML - YAML - JSON - 2026-05-05T19:02:46.632229

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

{'ALdims': [43, 52, 55, 49, 47, 47, 53, 53], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [279, 278, 275, 272, 283, 274, 268, 277], 'Nk2': 68800, 'analytic_conductor': 137.34269147660225, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [17200, 1, [10751, 12901, 1377, 8001], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2605, 'dim': 399, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_orbit_code': 33571632, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 18, 18], 'id': 1488223, 'label': '17200.2.a', 'level': 17200, '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, 43], 'level_radical': 430, 'mf_dim': 2676, 'mf_new_dim': 399, 'num_forms': 100, 'plus_dim': 192, 'prim_orbit_index': 1, 'relative_dim': 399, 'sturm_bound': 5280, 'trace_display': [0, 0, 0, 0], 'traces': [399, 0, 0, 0, 0, 0, 0, 0, 399, 0, -6, 0, 2, 0, 0, 0, -2, 0, 8, 0, 0, 0, -6, 0, 0, 0, -24, 0, 2, 0, 14, 0, 8, 0, 0, 0, 10, 0, -36, 0, 6, 0, 3, 0, 0, 0, -4, 0, 415, 0, -36, 0, -6, 0, 0, 0, 16, 0, -24, 0, -14, 0, -56, 0, 0, 0, 18, 0, -32, 0, -12, 0, -2, 0, 0, 0, -24, 0, 24, 0, 415, 0, 30, 0, 0, 0, 12, 0, -2, 0, -24, 0, 24, 0, 0, 0, -10, 0, 26, 0, -14, 0, -58, 0, 0, 0, 4, 0, -30, 0, 52, 0, -10, 0, 0, 0, 18, 0, 16, 0, 399, 0, -36, 0, 0, 0, 22, 0, 0, 0, 36, 0, -16, 0, 0, 0, 14, 0, -6, 0, 8, 0, -14, 0, 0, 0, 8, 0, -70, 0, 8, 0, -34, 0, 0, 0, 10, 0, -36, 0, -24, 0, -56, 0, 0, 0, -42, 0, 381, 0, 24, 0, 26, 0, 0, 0, -40, 0, -44, 0, -46, 0, -24, 0, 0, 0, -38, 0, 56, 0, -16, 0, -2, 0, 0, 0, 58, 0, -84, 0, -48, 0, -88, 0, 0, 0, 14, 0, 8, 0, -32, 0, 72, 0, 0, 0, 32, 0, 8, 0, -44, 0, -40, 0, 0, 0, 28, 0, -30, 0, -88, 0, -50, 0, 0, 0, -16, 0, 80, 0, -18, 0, -72, 0, 0, 0, -4, 0, -40, 0, 46, 0, 0, 0, 0, 0, -50, 0, -24, 0, 10, 0, -36, 0, 0, 0, -32, 0, 10, 0, 46, 0, 8, 0, 0, 0, -6, 0, 294, 0, -10, 0, -38, 0, 0, 0, -8, 0, 397, 0, 236, 0, -62, 0, 0, 0, 64, 0, -26, 0, 0, 0, 52, 0, 0, 0, 58, 0, 40, 0, 210, 0, 6, 0, 0, 0, 2, 0, -36, 0, -24, 0, -20, 0, 0, 0, 44, 0, 8, 0, 56, 0, 42, 0, 0, 0, -26, 0, 160, 0, -48, 0, 0, 0, 0, 0, 148, 0, 26, 0, -160, 0, 18, 0, 0, 0, 72, 0, -74, 0, 375, 0, -76, 0, 0, 0, 44, 0, 98, 0, -24, 0, 98, 0, 0, 0, 44, 0, -174, 0, -64, 0, -8, 0, 0, 0, 15, 0, -78, 0, -106, 0, 12, 0, 0, 0, -14, 0, -40, 0, 6, 0, -130, 0, 0, 0, 152, 0, -18, 0, -56, 0, 88, 0, 0, 0, 72, 0, 188, 0, 42, 0, 44, 0, 0, 0, 0, 0, 24, 0, 78, 0, -42, 0, 0, 0, -16, 0, -222, 0, 511, 0, 12, 0, 0, 0, -60, 0, 102, 0, -46, 0, 32, 0, 0, 0, -50, 0, 128, 0, -30, 0, -80, 0, 0, 0, 16, 0, -72, 0, 320, 0, 0, 0, 0, 0, 10, 0, 130, 0, 36, 0, 32, 0, 0, 0, 20, 0, 72, 0, 88, 0, -12, 0, 0, 0, -48, 0, -28, 0, -104, 0, 148, 0, 0, 0, 108, 0, 34, 0, -104, 0, -12, 0, 0, 0, 80, 0, -56, 0, 70, 0, -100, 0, 0, 0, 122, 0, 455, 0, 112, 0, 116, 0, 0, 0, -40, 0, 34, 0, -126, 0, -144, 0, 0, 0, -18, 0, -94, 0, -48, 0, 16, 0, 0, 0, 50, 0, 16, 0, -32, 0, 130, 0, 0, 0, 112, 0, -22, 0, -120, 0, 160, 0, 0, 0, -130, 0, 132, 0, 128, 0, 42, 0, 0, 0, 152, 0, -64, 0, -216, 0, 54, 0, 0, 0, 88, 0, 350, 0, -242, 0, 130, 0, 0, 0, 0, 0, -112, 0, -264, 0, -94, 0, 0, 0, -58, 0, 8, 0, -8, 0, -136, 0, 0, 0, -56, 0, 140, 0, -84, 0, 76, 0, 0, 0, 42, 0, -244, 0, -42, 0, 52, 0, 0, 0, -96, 0, -120, 0, 88, 0, 42, 0, 0, 0, 22, 0, -74, 0, -14, 0, 28, 0, 0, 0, -52, 0, -24, 0, 76, 0, -58, 0, 0, 0, 90, 0, 48, 0, -192, 0, -26, 0, 0, 0, 28, 0, 56, 0, 68, 0, 96, 0, 0, 0, -64, 0, -32, 0, 26, 0, -216, 0, 0, 0, 120, 0, 58, 0, 124, 0, -116, 0, 0, 0, 96, 0, -136, 0, -240, 0, -104, 0, 0, 0, 144, 0, 447, 0, -36, 0, 34, 0, 0, 0, -36, 0, 40, 0, 120, 0, 64, 0, 0, 0, 246, 0, 184, 0, 132, 0, 48, 0, 0, 0, 42, 0, 220, 0, 78, 0, 48, 0, 0, 0, -144, 0, -110, 0, -376, 0, 34, 0, 0, 0, -88, 0, -140, 0, 88, 0, -12, 0, 0, 0, -100, 0, 176, 0, -128, 0, 52, 0, 0, 0, 98, 0, -116, 0, 158, 0, -12, 0, 0, 0, 124, 0, 34, 0, -8, 0, 24, 0, 0, 0, 0, 0, -40, 0, 10, 0, 6, 0, 0, 0, 140, 0, -46, 0, 8, 0, 102, 0, 0, 0, 112, 0, -200, 0, 517, 0, 44, 0, 0, 0, -40, 0, -64, 0, 192, 0, 122, 0, 0, 0, 2, 0, -36, 0, 0, 0, 172, 0, 0, 0, -12, 0, -24, 0, 206, 0, 74, 0, 0, 0, 210, 0, 680, 0, -2, 0, 14, 0, 0, 0, 308, 0, -56, 0, 690, 0, 184, 0, 0, 0, 0, 0, -156, 0, -220, 0, -16, 0, 0, 0, -74, 0, -166, 0, 444, 0, 44, 0, 0, 0, 8, 0, -10, 0, 120, 0, 188, 0, 0, 0, -318, 0, 6, 0, 56, 0, 96, 0, 0, 0, -138, 0, 320, 0, -54, 0, -86, 0, 0, 0, -26, 0, -28, 0, 92, 0, -106, 0, 0, 0, 0, 0, 120, 0, 223, 0, 308, 0, 0, 0, 166, 0, 124, 0, -158, 0, -208, 0, 0, 0, 18, 0, 40, 0, -382, 0, 96, 0, 0, 0, -48, 0, 0, 0, -244, 0, -56, 0, 0, 0, 66, 0, 204, 0], 'weight': 2, 'weight_parity': 1}