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

Formats: - HTML - YAML - JSON - 2026-08-26T00:57:37.436470

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': 3200, 'analytic_conductor': 6.388032161702431, 'char_conductor': 40, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 4, 'char_parity': 1, 'char_values': [800, 4, [351, 101, 577], [2, 2, 3]], 'conrey_index': 143, 'cusp_dim': 192, 'dim': 32, 'eis_dim': 96, 'eis_new_dim': 8, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 962106229536, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 8, 8], 'id': 198785, 'label': '800.2.o', 'level': 800, '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, 5], 'level_radical': 10, 'mf_dim': 288, 'mf_new_dim': 40, 'num_forms': 8, 'prim_orbit_index': 11, 'relative_dim': 16, 'sturm_bound': 240, 'trace_bound': 7, 'trace_display': [0, -4, 0, 0], 'traces': [32, 0, -4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 28, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -40, 0, -44, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 64, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, -84, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -40, 0, 40, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -168, 0, -100, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 24, 0, 116, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 280, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -96, 0, 60, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, -40, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 304, 0, 36, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 16, 0, -80, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 36, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -352, 0, 28, 0, 0, 0, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 152, 0, 20, 0, 0, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 344, 0, -12, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -232, 0, -84, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -264, 0, -16, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -48, 0, -80, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 112, 0, 104, 0, 0, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -288, 0, -48, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -216, 0, 76, 0, 0, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 40, 0, -120, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 592, 0, 100, 0, 0, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}