# Stored data for newspace 400.6.c, downloaded from the LMFDB on 18 April 2024. {"label": "400.6.c", "level": 400, "weight": 6, "char_conductor": 5, "char_degree": 1, "char_parity": 1, "sturm_bound": 360, "dim": 44, "eis_dim": 36, "eis_new_dim": 2, "cusp_dim": 282, "mf_dim": 318, "char_order": 2, "char_orbit_label": "c", "char_is_real": true, "trace_bound": 9, "num_forms": 16, "Nk2": 14400, "analytic_conductor": 64.15352792519225, "level_radical": 10, "mf_new_dim": 46, "char_values": [400, 2, [351, 101, 177], [2, 2, 1]], "hecke_orbit_dims": [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6], "trace_display": [0, 0, 0, 0], "traces": [44, 0, 0, 0, 0, 0, 0, 0, -3400, 0, -724, 0, 0, 0, 0, 0, 0, 0, -196, 0, -2128, 0, 0, 0, 0, 0, 0, 0, -12240, 0, 12928, 0, 0, 0, 0, 0, 0, 0, -10376, 0, -8404, 0, 0, 0, 0, 0, 0, 0, -85604, 0, -115444, 0, 0, 0, 0, 0, 0, 0, 77136, 0, 2288, 0, 0, 0, 0, 0, 0, 0, 43648, 0, 25016, 0, 0, 0, 0, 0, 0, 0, 58888, 0, 156724, 0, 0, 0, 0, 0, 0, 0, -132588, 0, 160104, 0, 0, 0, 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140573160, 0], "hecke_cutter_primes": [3], "level_primes": [2, 5], "relative_dim": 44, "hecke_orbit_code": 137539617168, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 3, "prim_orbit_index": 2, "conrey_index": 49, "newforms": ["400.6.c.a", "400.6.c.b", "400.6.c.c", "400.6.c.d", "400.6.c.e", "400.6.c.f", "400.6.c.g", "400.6.c.h", "400.6.c.i", "400.6.c.j", "400.6.c.k", "400.6.c.l", "400.6.c.m", "400.6.c.n", "400.6.c.o", "400.6.c.p"], "oldspaces": [[5, 2, 4, 10], [10, 2, 9, 8], [20, 3, 9, 6], [25, 2, 24, 5], [40, 4, 21, 4], [50, 2, 49, 4], [80, 4, 41, 2], [100, 3, 49, 3], [200, 4, 101, 2]]}