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

Formats: - HTML - YAML - JSON - 2026-09-22T10:23:57.776048

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': [4, 6, 5, 6, 7, 3, 4, 6, 5, 6, 4, 6, 4, 6, 7, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [69, 81, 79, 69, 81, 70, 72, 79, 75, 75, 80, 71, 76, 73, 69, 80], 'Nk2': 23520, 'analytic_conductor': 46.952036388512866, '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': [5880, 1, [1471, 2941, 1961, 1177, 1081], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1281, 'dim': 82, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19], 'hecke_orbit_code': 33560312, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'id': 1067851, 'label': '5880.2.a', 'level': 5880, '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, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1408, 'mf_new_dim': 82, 'num_forms': 53, 'plus_dim': 34, 'prim_orbit_index': 1, 'relative_dim': 82, 'sturm_bound': 2688, 'trace_bound': 19, 'trace_display': [0, -2, 0, 0], 'traces': [82, 0, -2, 0, 0, 0, 0, 0, 82, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 82, 0, -2, 0, 8, 0, -16, 0, 4, 0, 0, 0, 0, 0, -8, 0, -20, 0, 16, 0, 0, 0, 16, 0, 0, 0, 8, 0, -32, 0, -4, 0, -8, 0, 20, 0, -36, 0, 0, 0, -12, 0, 8, 0, 8, 0, 24, 0, -12, 0, -2, 0, 0, 0, 16, 0, 82, 0, 32, 0, -4, 0, -8, 0, 20, 0, 0, 0, -16, 0, 8, 0, 28, 0, 4, 0, -24, 0, -4, 0, 0, 0, 32, 0, 12, 0, -16, 0, 48, 0, -8, 0, 0, 0, 0, 0, 82, 0, 20, 0, 0, 0, 28, 0, 0, 0, 12, 0, 0, 0, 0, 0, 48, 0, 24, 0, -16, 0, 24, 0, 20, 0, 0, 0, 48, 0, 96, 0, 8, 0, -8, 0, 0, 0, 16, 0, 0, 0, 192, 0, -4, 0, 56, 0, 94, 0, 0, 0, 64, 0, 0, 0, -20, 0, 20, 0, -4, 0, 132, 0, -20, 0, 72, 0, 0, 0, -72, 0, -28, 0, -12, 0, 64, 0, -8, 0, -8, 0, 0, 0, 0, 0, -8, 0, -32, 0, 176, 0, -24, 0, -32, 0, 0, 0, 20, 0, 40, 0, -36, 0, 82, 0, 72, 0, 36, 0, 0, 0, 40, 0, 24, 0, 24, 0, 104, 0, 36, 0, -2, 0, 0, 0, 168, 0, 0, 0, 12, 0, 64, 0, -4, 0, 16, 0, 0, 0, 8, 0, 88, 0, -12, 0, 60, 0, 56, 0, 72, 0, 0, 0, 4, 0, 48, 0, -16, 0, 4, 0, 0, 0, 8, 0, 0, 0, 54, 0, 132, 0, -32, 0, -20, 0, 4, 0, -16, 0, 0, 0, 40, 0, -40, 0, -8, 0, 28, 0, -120, 0, 84, 0, 0, 0, 48, 0, -24, 0, 32, 0, -16, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 8, 0, -44, 0, -16, 0, -64, 0, 0, 0, 8, 0, -40, 0, 76, 0, -8, 0, -8, 0, -40, 0, 0, 0, -32, 0, 138, 0, -26, 0, 40, 0, -36, 0, -20, 0, 0, 0, -24, 0, 0, 0, -56, 0, 24, 0, 28, 0, -160, 0, 0, 0, 16, 0, -16, 0, -48, 0, 4, 0, 24, 0, 8, 0, 0, 0, 20, 0, 280, 0, 0, 0, -24, 0, -76, 0, 48, 0, 0, 0, 8, 0, 16, 0, 44, 0, -12, 0, 16, 0, 8, 0, 0, 0, -24, 0, -32, 0, 84, 0, 20, 0, -32, 0, 56, 0, 0, 0, -24, 0, -40, 0, 32, 0, -44, 0, -40, 0, 32, 0, 0, 0, 60, 0, 8, 0, -48, 0, -92, 0, 8, 0, 80, 0, 0, 0, 192, 0, -96, 0, 0, 0, -32, 0, -104, 0, -72, 0, 0, 0, -16, 0, 4, 0, 40, 0, -124, 0, -8, 0, -4, 0, 0, 0, -184, 0, 24, 0, -48, 0, -12, 0, -110, 0, 8, 0, 0, 0, -8, 0, -164, 0, -48, 0, -80, 0, 4, 0, -96, 0, 0, 0, -112, 0, 170, 0, 20, 0, 32, 0, 24, 0, 4, 0, 0, 0, 12, 0, -20, 0, 24, 0, 248, 0, -36, 0, 96, 0, 0, 0, 4, 0, 16, 0, -144, 0, -24, 0, 24, 0, 44, 0, 0, 0, 36, 0, -216, 0, 40, 0, -8, 0, 76, 0, 36, 0, 0, 0, 72, 0, -12, 0, -160, 0, 136, 0, 32, 0, 80, 0, 0, 0, 192, 0, 16, 0, -12, 0, 8, 0, -80, 0, -108, 0, 0, 0, -200, 0, 72, 0, 16, 0, 136, 0, 56, 0, 8, 0, 0, 0, 82, 0, -16, 0, -88, 0, 120, 0, -40, 0, 4, 0, 0, 0, 24, 0, -260, 0, 64, 0, -32, 0, 64, 0, -16, 0, 0, 0, -416, 0, 52, 0, -12, 0, -172, 0, 12, 0, 24, 0, 0, 0, 0, 0, 212, 0, 104, 0, -252, 0, -2, 0, -192, 0, 0, 0, 8, 0, 48, 0, 28, 0, 4, 0, 88, 0, 192, 0, 0, 0, -16, 0, -80, 0, 24, 0, -312, 0, 96, 0, 24, 0, 0, 0, 156, 0, 16, 0, -32, 0, -128, 0, 72, 0, -32, 0, 0, 0, 164, 0, 8, 0, 148, 0, 82, 0, 128, 0, 120, 0, 0, 0, -368, 0, -32, 0, -16, 0, 48, 0, 28, 0, 32, 0, 0, 0, 96, 0, -12, 0, -80, 0, 56, 0, 128, 0, -172, 0, 0, 0, -4, 0, -72, 0, 68, 0, 32, 0, 16, 0, -16, 0, 0, 0, -344, 0, -176, 0, -8, 0, 52, 0, -144, 0, -8, 0, 0, 0, -64, 0, 28, 0, 32, 0, 16, 0, 20, 0, -56, 0, 0, 0, -56, 0, 12, 0, 152, 0, 208, 0, 72, 0, -48, 0, 0, 0, 40, 0, 220, 0, 4, 0, -152, 0, -52, 0, 16, 0, 0, 0, 48, 0, -16, 0, -16, 0, 126, 0, 20, 0, 64, 0, 0, 0, 24, 0, -232, 0, -8, 0, 8, 0, -136, 0, -120, 0, 0, 0, 88, 0, -44, 0, 26, 0, -176, 0, 64, 0, 28, 0, 0, 0, 128, 0, -48, 0, -12, 0, -152, 0, 36, 0, 8, 0, 0, 0, 4, 0, -400, 0, 28, 0, -128, 0, -48, 0, -56, 0, 0, 0, -8, 0, -176, 0, -24, 0, 176, 0, -176, 0, -40, 0, 0, 0, 112, 0, 32, 0, -16, 0, 0, 0, -4, 0, 36, 0, 0, 0, -24, 0, 88, 0, -116, 0, -44, 0, 192, 0, 16, 0, 0, 0, 232, 0, 8, 0, 0, 0, -64, 0, -8, 0, -24, 0, 0, 0, -150, 0, 32, 0, 40, 0, -20, 0, -160, 0, 12, 0, 0, 0, -8, 0, 24, 0, 88, 0, 12, 0, -128, 0, 52, 0, 0, 0, 16, 0, -56, 0, -16, 0, -48, 0, 0, 0, -16, 0], 'weight': 2, 'weight_parity': 1}