Database - mf_gamma1 (Spaces of modular forms on $\Gamma_1(N)$)

Formats: - HTML - YAML - JSON - 2026-08-24T06:48:29.867134

Query: /api/mf_gamma1/?_offset=0

Column	Type
Nk2	bigint
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision
cusp_dim	bigint
dihedral_dim	integer
dim	bigint
eis_dim	bigint
eis_new_dim	bigint
hecke_orbit_dims	bigint[]
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	bigint
mf_new_dim	bigint
newspace_dims	bigint[]
num_forms	integer
num_spaces	integer
s4_dim	integer
sturm_bound	bigint
trace_bound	integer
trace_display	numeric[]
traces	numeric[]
weight	smallint
weight_parity	smallint

{'Nk2': 220, 'analytic_conductor': 0.4391772111170421, 'cusp_dim': 81, 'dim': 79, 'eis_dim': 79, 'eis_new_dim': 56, 'hecke_orbit_dims': [1, 2, 4, 4, 4, 8, 8, 16, 32], 'id': 8393, 'label': '55.2', 'level': 55, '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': [5, 11], 'level_radical': 55, 'mf_dim': 160, 'mf_new_dim': 135, 'newspace_dims': [3, 4, 0, 0, 8, 0, 16, 0, 0, 16, 0, 32], 'num_forms': 9, 'num_spaces': 6, 'sturm_bound': 480, 'trace_bound': 2, 'trace_display': [-13, -14, -16, -8], 'traces': [79, -13, -14, -17, -16, -32, -8, -5, -3, -3, -31, -8, -14, -4, 1, -1, 2, 11, 0, 13, -12, 17, -14, 40, 14, 18, 10, 44, 10, 38, -22, 27, 26, 6, 22, 59, 12, 40, 44, -25, 18, 44, -4, -27, -33, -52, -48, -64, -57, -43, -52, -98, -14, -60, -46, -120, -20, -90, -30, -38, -82, 24, -24, -37, -14, 8, -18, 34, 34, 56, 38, 55, 46, 106, 71, 100, 72, 112, 80, 139, 79, 74, 76, 116, 72, 68, 100, 145, 20, -9, 48, 52, 2, 16, 0, -52, -28, -81, -73, -47], 'weight': 2, 'weight_parity': 1}