Database - mf_gamma1

Formats: - HTML - YAML - JSON - 2026-10-23T22:33:38.627572

Query: /api/mf_gamma1/?_offset=0

Table mf_gamma1

Spaces of modular forms on $\Gamma_1(N)$

Column	Type	Example
Nk2	bigint	285632
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision	1053.3020974224814
cusp_dim	bigint	29866397
dihedral_dim	integer
dim	bigint	17424110
eis_dim	bigint	22310
eis_new_dim	bigint	8924
hecke_orbit_dims	bigint[]
label	text	'17852.4'
level	integer	17852
level_is_powerful	boolean	False
level_is_prime	boolean	False
level_is_prime_power	boolean	False
level_is_prime_square	boolean	False
level_is_square	boolean	False
level_is_squarefree	boolean	False
level_primes	integer[]	[2, 4463]
level_radical	integer	8926
mf_dim	bigint	29888707
mf_new_dim	bigint	17433034
newspace_dims	bigint[]	[1116, 6694, 0, 0, 24552, 0, 0, 147268, 107136, 0, 0, 642624, 2356992, 14137728, 0, 0]
num_forms	integer
num_spaces	integer	8
s4_dim	integer
sturm_bound	bigint	79673472
trace_bound	integer
trace_display	numeric[]
traces	numeric[]
weight	smallint	4
weight_parity	smallint	1

{'Nk2': 18032, 'analytic_conductor': 35.9965612311932, 'cusp_dim': 614329, 'dim': 344224, 'eis_dim': 13199, 'eis_new_dim': 4076, 'id': 81214, 'label': '4508.2', 'level': 4508, '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, 7, 23], 'level_radical': 322, 'mf_dim': 627528, 'mf_new_dim': 348300, 'newspace_dims': [74, 0, 482, 80, 0, 440, 0, 0, 148, 0, 880, 0, 160, 0, 0, 944, 624, 820, 0, 0, 3696, 0, 672, 4008, 0, 1224, 0, 0, 4720, 0, 800, 4820, 0, 1600, 8016, 0, 0, 1344, 0, 7392, 0, 9440, 0, 0, 1600, 0, 9440, 0, 6720, 0, 40080, 6720, 0, 40080, 0, 0, 13440, 0, 80160, 0, 13440, 0, 0, 80160], 'num_spaces': 32, 'sturm_bound': 2483712, 'weight': 2, 'weight_parity': 1}