# Stored data for newspace 504.2.r, downloaded from the LMFDB on 24 April 2024. {"label": "504.2.r", "level": 504, "weight": 2, "char_conductor": 9, "char_degree": 2, "char_parity": 1, "sturm_bound": 192, "dim": 36, "eis_dim": 32, "eis_new_dim": 0, "cusp_dim": 176, "mf_dim": 208, "char_order": 3, "char_orbit_label": "r", "char_is_real": false, "trace_bound": 3, "num_forms": 6, "Nk2": 2016, "analytic_conductor": 4.024460261872531, "level_radical": 42, "mf_new_dim": 36, "char_values": [504, 3, [127, 253, 281, 73], [3, 3, 2, 3]], "hecke_orbit_dims": [2, 2, 6, 8, 8, 10], "trace_display": [0, -2, 0, 0], "traces": [36, 0, -2, 0, 0, 0, 0, 0, 6, 0, 14, 0, 0, 0, 20, 0, 12, 0, -12, 0, 0, 0, 4, 0, -18, 0, -20, 0, -12, 0, 0, 0, -18, 0, -24, 0, 0, 0, -28, 0, -6, 0, 6, 0, 36, 0, -12, 0, -18, 0, 38, 0, 48, 0, 0, 0, 30, 0, 14, 0, 0, 0, -4, 0, -16, 0, 6, 0, -16, 0, 24, 0, 36, 0, -22, 0, -8, 0, 0, 0, 6, 0, 16, 0, -24, 0, 40, 0, -48, 0, 0, 0, -44, 0, 12, 0, -42, 0, 36, 0, 16, 0, -36, 0, 12, 0, -76, 0, 0, 0, -80, 0, 4, 0, -36, 0, 8, 0, 0, 0, -36, 0, 12, 0, 24, 0, -24, 0, -50, 0, -28, 0, 0, 0, -40, 0, 2, 0, 6, 0, 12, 0, 16, 0, 48, 0, 4, 0, -24, 0, 12, 0, -14, 0, -4, 0, 0, 0, 52, 0, 32, 0, 144, 0, -96, 0, -24, 0, -18, 0, -94, 0, 28, 0, 12, 0, 32, 0, -136, 0, 48, 0, -96, 0, 16, 0, -30, 0, 12, 0, -36, 0, -30, 0, 16, 0, -160, 0, 72, 0, 84, 0, 24, 0, -12, 0, 24, 0, -14, 0, -36, 0, 8, 0, 232, 0, 0, 0, 90, 0, -36, 0, 0, 0, -108, 0, 22, 0, 0, 0, 0, 0, 44, 0, 0, 0, -36, 0, -52, 0, -18, 0, 118, 0, 0, 0, 12, 0, 80, 0, 124, 0, 24, 0, 52, 0, 66, 0, 0, 0, 92, 0, 8, 0, 36, 0, -40, 0, 72, 0, 48, 0, -32, 0, 94, 0, 12, 0, 168, 0, 48, 0, -36, 0, 96, 0, 0, 0, 96, 0, 106, 0, 100, 0, -48, 0, 102, 0, -68, 0, 0, 0, -28, 0, 104, 0, -12, 0, 12, 0, -16, 0, -18, 0, -20, 0, -4, 0, -60, 0, 86, 0, 108, 0, -216, 0, -180, 0, -24, 0, -72, 0, 16, 0, 4, 0, -42, 0, -28, 0, -224, 0, 0, 0, -152, 0, 26, 0, 72, 0, 32, 0, -70, 0, -36, 0, 8, 0, -48, 0, 0, 0, -20, 0, 4, 0, 0, 0, -286, 0, 48, 0, 72, 0, -60, 0, -240, 0, 84, 0, -160, 0, -92, 0, -12, 0, -100, 0, -28, 0, -24, 0, 16, 0, -128, 0, 72, 0, 64, 0, -34, 0, -12, 0, 36, 0, -124, 0, -18, 0, -30, 0, 40, 0, 48, 0, -116, 0, -88, 0, -36, 0, 40, 0, 162, 0, -12, 0, 48, 0, -104, 0, 36, 0, -112, 0, -64, 0, -24, 0, 6, 0, 106, 0, 24, 0, -52, 0, 12, 0, -12, 0, 184, 0, 4, 0, 18, 0, -136, 0, -60, 0, 72, 0, 128, 0, 212, 0, 0, 0, 112, 0, -86, 0, 114, 0, -76, 0, 108, 0, 12, 0, -24, 0, 184, 0, -24, 0, 144, 0, 18, 0, 108, 0, 168, 0, -36, 0, -6, 0, -64, 0, -272, 0, 72, 0, 70, 0, 136, 0, -36, 0, -24, 0, 52, 0, -24, 0, 80, 0, 132, 0, -72, 0, -24, 0, 0, 0, -78, 0, -46, 0, 116, 0, 0, 0, -224, 0, -28, 0, -72, 0, 184, 0, -36, 0, -6, 0, 104, 0, -108, 0, -36, 0, -148, 0, 296, 0, -96, 0, 234, 0, 74, 0, -60, 0, -112, 0, -118, 0, 6, 0, -36, 0, 152, 0, 12, 0, -288, 0, -40, 0, -36, 0, 268, 0, -150, 0, 36, 0, -112, 0, -176, 0, 0, 0, -44, 0, 144, 0, 30, 0, 162, 0, -88, 0, 0, 0, -8, 0, -392, 0, -96, 0, -192, 0, 178, 0, 42, 0, -268, 0, 12, 0, -54, 0, 150, 0, -72, 0, 48, 0, 28, 0, -164, 0, 0, 0, -244, 0, -122, 0, 6, 0, -28, 0, -72, 0, -276, 0, 48, 0, -164, 0, 84, 0, 50, 0, 36, 0, 36, 0, 204, 0, 72, 0, -96, 0, -160, 0, 84, 0, 96, 0, -118, 0, 200, 0, 0, 0, -98, 0, -68, 0, -168, 0, -20, 0, -144, 0, 24, 0, 96, 0, 40, 0, 114, 0, 118, 0, -80, 0, 48, 0, 420, 0, 56, 0, 0, 0, -88, 0, 76, 0, 96, 0, -68, 0, 168, 0, 0, 0, 114, 0, -48, 0, -24, 0, -120, 0, 42, 0, -60, 0, 8, 0, 172, 0, -60, 0, 4, 0, -92, 0, -60, 0, 320, 0, -56, 0, -12, 0, -30, 0, 448, 0, 0, 0, 204, 0, 156, 0, 0, 0, 92, 0, 200, 0, 84, 0, 40, 0, 88, 0, -48, 0, -100, 0, 174, 0, 84, 0, 232, 0, 32, 0, 24, 0, -76, 0, -40, 0, 216, 0, 224, 0, 72, 0, 0, 0, -8, 0, -214, 0, 36, 0, 140, 0, 132, 0, -84, 0, 312, 0, 152, 0, 90, 0, -20, 0, -184, 0, 36, 0, -96, 0, 40, 0, 192, 0, -264, 0, -6, 0, 60, 0, 244, 0, 96, 0, 6, 0, -12, 0, -312, 0, 0, 0, -140, 0, 44, 0, 48, 0, -164, 0, -20, 0, 78, 0, 16, 0, 24, 0, 144, 0, -144, 0, 56, 0, -24, 0, -252, 0, 96, 0, 72, 0, -224, 0, -48, 0, 60, 0, 4, 0, -220, 0, 24, 0, -30, 0, -228, 0, 252, 0, -176, 0, 0, 0, 48, 0, 124, 0, -112, 0, 210, 0, -88, 0, -144, 0, -60, 0, 36, 0, 40, 0, 48, 0, -342, 0, -212, 0, -96, 0, -168, 0, 244, 0, 6, 0, -36, 0, -552, 0, -240, 0, -110, 0, -20, 0, 108, 0, 60, 0, 82, 0, 72, 0, -316, 0, -268, 0, -552, 0, 396, 0, 16, 0, -6, 0, -166, 0, 200, 0, -120, 0, -70, 0, 344, 0, 24, 0, 508, 0, -174, 0, -60, 0, -100, 0, 256, 0, -48, 0, -64, 0, -24, 0, -312, 0, 156, 0, -132, 0, -24, 0, 196, 0], "hecke_cutter_primes": [5], "level_primes": [2, 3, 7], "relative_dim": 18, "hecke_orbit_code": 1168264659448, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 18, "prim_orbit_index": 3, "conrey_index": 169, "newforms": ["504.2.r.a", "504.2.r.b", "504.2.r.c", "504.2.r.d", "504.2.r.e", "504.2.r.f"], "oldspaces": [[18, 3, 7, 6], [36, 5, 13, 4], [63, 6, 22, 4], [72, 9, 25, 2], [126, 7, 37, 3], [252, 11, 37, 2]]}