# Stored data for newspace 51.2.d, downloaded from the LMFDB on 19 April 2024. {"label": "51.2.d", "level": 51, "weight": 2, "char_conductor": 17, "char_degree": 1, "char_parity": 1, "sturm_bound": 12, "dim": 4, "eis_dim": 4, "eis_new_dim": 0, "cusp_dim": 4, "mf_dim": 8, "char_order": 2, "char_orbit_label": "d", "char_is_real": true, "trace_bound": 2, "num_forms": 2, "Nk2": 204, "analytic_conductor": 0.40723705030852997, "level_radical": 51, "mf_new_dim": 4, "char_values": [51, 2, [35, 37], [2, 1]], "hecke_orbit_dims": [2, 2], "trace_display": [-2, 0, 0, 0], "traces": [4, -2, 0, 2, 0, 0, 0, -6, -4, 0, 0, 0, 2, 0, -6, -10, 10, 2, 2, 0, 4, 0, 0, 0, 2, 8, 0, 0, 0, 12, 0, 26, 2, -14, -12, -2, 0, -28, 0, 0, 0, 16, -10, 0, 0, 0, -20, 0, -12, 26, -10, -8, 0, 0, 30, 0, 0, 0, -24, -12, 0, 0, 0, -2, 0, -28, 0, 14, 10, 24, 0, 6, 0, 0, 0, 28, 52, 0, 0, 0, 4, 0, 12, -16, -6, -4, -12, 0, -40, 0, 0, 0, 28, -8, 0, 0, 0, -30, 0, -26, 12, -4, 18, -12, 0, 36, 0, 0, 0, -60, -20, 0, 0, 0, 6, 0, -2, -24, 28, 0, -38, 0, 26, 0, 0, 0, 2, -6, 0, 0, 0, 28, 0, 72, 6, -6, -4, 4, 0, -24, 0, 0, 0, 10, -36, 0, 0, 0, 12, 0, 24, 24, -10, -8, 60, 0, -38, 0, 0, 0, -28, -2, 0, 0, 0, 48, 0, -24, -42, 12, -2, 4, 0, 24, 0, 0, 0, 20, 28, 0, 0, 0, -4, 0, -12, -32, -22, 8, -4, 0, -32, 0, 0, 0, 6, 30, 0, 0, 0, -30, 0, -60, -24, 4, 30, -36, 0, 4, 0, 0, 0, -36, -24, 0, 0, 0, 8, 0, 12, 60, -4, -8, 10, 0, -2, 0, 0, 0, 40, -12, 0, 0, 0, -8, 0, 24, 16, 40, -56, 24, 0, 46, 0, 0, 0, -4, -26, 0, 0, 0, -12, 0, 22, 44, -24, -2, -8, 0, 56, 0, 0, 0, 36, 24, 0, 0, 0, -72, 0, -12, 54, -34, 20, -52, 0, -4, 0, 0, 0, 0, 64, 0, 0, 0, -30, 0, -44, -26, 0, 72, -16, 0, 8, 0, 0, 0, -2, 12, 0, 0, 0, -48, 0, -32, -60, 14, -48, 8, 0, -120, 0, 0, 0, 64, 12, 0, 0, 0, 60, 0, 30, -40, 32, 2, 28, 0, -8, 0, 0, 0, -86, -48, 0, 0, 0, 8, 0, 30, 38, -12, -68, 28, 0, 24, 0, 0, 0, -24, -14, 0, 0, 0, 84, 0, 0, -20, -8, -32, 44, 0, 6, 0, 0, 0, 36, 56, 0, 0, 0, 24, 0, 32, 80, -52, -6, 48, 0, -16, 0, 0, 0, 16, -64, 0, 0, 0, 10, 0, -72, -12, 34, 54, 2, 0, 24, 0, 0, 0, -52, 22, 0, 0, 0, 60, 0, 48, -44, 24, 70, -60, 0, 36, 0, 0, 0, 4, -40, 0, 0, 0, -70, 0, 20, -36, -22, -24, -104, 0, -26, 0, 0, 0, -26, -112, 0, 0, 0, -24, 0, 0, 12, 20, 28, 8, 0, 76, 0, 0, 0, -26, 14, 0, 0, 0, 12, 0, 122, -20, 10, 12, -4, 0, -112, 0, 0, 0, 64, 8, 0, 0, 0, 72, 0, -8, -80, -40, 0, 64, 0, -48, 0, 0, 0, -46, 48, 0, 0, 0, -68, 0, -116, 4, -12, 4, -30, 0, 96, 0, 0, 0, -18, 96, 0, 0, 0, 52, 0, -44, -36, 48, 24, -86, 0, 4, 0, 0, 0, 80, 34, 0, 0, 0, -96, 0, 56, 72, 52, -32, 58, 0, 24, 0, 0, 0, 18, -72, 0, 0, 0, 12, 0, -108, 56, 74, 24, 8, 0, 52, 0, 0, 0, -24, -16, 0, 0, 0, 12, 0, -14, 48, 32, -68, 116, 0, 66, 0, 0, 0, -28, 60, 0, 0, 0, -104, 0, 2, 6, -90, 12, -72, 0, -64, 0, 0, 0, -76, 0, 0, 0, 0, 14, 0, -64, 28, -48, -12, 8, 0, -56, 0, 0, 0, 0, 48, 0, 0, 0, 40, 0, 120, -28, -14, -30, 24, 0, -96, 0, 0, 0, 120, -10, 0, 0, 0, -8, 0, 82, -64, -68, -24, -62, 0, -28, 0, 0, 0, -42, -120, 0, 0, 0, 12, 0, 40, 6, -88, 80, -6, 0, 4, 0, 0, 0, -32, 30, 0, 0, 0, 32, 0, -30, 52, -14, -72, -60, 0, 12, 0, 0, 0, 164, 8, 0, 0, 0, -30, 0, -28, 160, 0, 30, 232, 0, -28, 0, 0, 0, 16, 36, 0, 0, 0, -52, 0, -96, 0, 74, 16, -74, 0, 52, 0, 0, 0, 12, -60, 0, 0, 0, 0, 0, 60, -52, 40, -30, 32, 0, 104, 0, 0, 0, -30, 52, 0, 0, 0, 32, 0, -4, -72, -16, -56, -40, 0, -18, 0, 0, 0, 2, -24, 0, 0, 0, -24, 0, -4, -12, 52, -84, 12, 0, 32, 0, 0, 0, 16, 10, 0, 0, 0, 96, 0, 80, -16, 6, 32, -48, 0, -58, 0, 0, 0, -84, 4, 0, 0, 0, 108, 0, 12, -96, 28, 12, -6, 0, -28, 0, 0, 0, -48, -20, 0, 0, 0, 36, 0, -60, 8, -32, -14, 40, 0, -60, 0, 0, 0, -42, 36, 0, 0, 0, -48, 0, -104, -84, 16, 22, -80, 0, 60, 0, 0, 0, 0, -80, 0, 0, 0, -104, 0, -28, 44, 6, 56, 18, 0, -28, 0, 0, 0, 44, 8, 0, 0, 0, 8, 0, 36, -16, 74, 68, 24, 0, 16, 0, 0, 0, 4, 32, 0, 0, 0, -12, 0, 6, 40, -32, 112, -8, 0, 72, 0, 0, 0, -12, 24, 0, 0, 0, -120, 0, 30, -2, -20, 0, -176, 0, 48, 0, 0, 0, -76, 44, 0, 0, 0, 14, 0, 120, 26, -36, 164, -28, 0, 120, 0, 0, 0, -12, -24, 0, 0, 0, -16, 0, 20, 52, 4, 78, 0, 0, -196, 0, 0, 0, -16, -18, 0, 0, 0, 102, 0, -24, -104, 120, 12, 128, 0, 64, 0, 0, 0, -74, 24, 0, 0, 0, 8, 0, 40, 20, -96, -156, -36, 0, -64, 0, 0, 0, 48, -108, 0, 0, 0, 36, 0, -66, 30, 22, -96, 156, 0, -32, 0, 0, 0, -76, 16, 0, 0, 0, 112, 0, -48, 138, 24, -56, -4, 0, 60, 0, 0, 0, 96, -96, 0, 0, 0, 20, 0], "hecke_cutter_primes": [2], "level_primes": [3, 17], "relative_dim": 4, "hecke_orbit_code": 206191984691, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 4, "prim_orbit_index": 2, "conrey_index": 16, "newforms": ["51.2.d.a", "51.2.d.b"], "oldspaces": []}