# Stored data for newspace 684.3.e, downloaded from the LMFDB on 19 April 2024. {"label": "684.3.e", "level": 684, "weight": 3, "char_conductor": 3, "char_degree": 1, "char_parity": -1, "sturm_bound": 360, "dim": 12, "eis_dim": 24, "eis_new_dim": 0, "cusp_dim": 228, "mf_dim": 252, "char_order": 2, "char_orbit_label": "e", "char_is_real": true, "trace_bound": 0, "num_forms": 1, "Nk2": 6156, "analytic_conductor": 18.637650082244306, "level_radical": 114, "mf_new_dim": 12, "char_values": [684, 2, [343, 533, 325], [2, 1, 2]], "hecke_orbit_dims": [12], "trace_display": [0, 0, 0, 16], "traces": [12, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 276, 0, 0, 0, 0, 0, -316, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -600, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, -336, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 1068, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 424, 0, 0, 0, 0, 0, -896, 0, 0, 0, 0, 0, 488, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 408, 0, 0, 0, 0, 0, -776, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 860, 0, 0, 0, 0, 0, -1392, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, -1280, 0, 0, 0, 0, 0, -572, 0, 0, 0, 0, 0, -604, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 1936, 0, 0, 0, 0, 0, 1040, 0, 0, 0, 0, 0, 1424, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, -2056, 0, 0, 0, 0, 0, 1896, 0, 0, 0, 0, 0, 608, 0, 0, 0, 0, 0, 820, 0, 0, 0, 0, 0, -2664, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 1176, 0, 0, 0, 0, 0, -1800, 0, 0, 0, 0, 0, 912, 0, 0, 0, 0, 0, -1440, 0, 0, 0, 0, 0, -1708, 0, 0, 0, 0, 0, -676, 0, 0, 0, 0, 0, -1328, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 1236, 0, 0, 0, 0, 0, 880, 0, 0, 0, 0, 0, 3020, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -3360, 0, 0, 0, 0, 0, 1424, 0, 0, 0, 0, 0, 1092, 0, 0, 0, 0, 0, 860, 0, 0, 0, 0, 0, -1592, 0, 0, 0, 0, 0, 684, 0, 0, 0, 0, 0, 3376, 0, 0, 0, 0, 0, -2136, 0, 0, 0, 0, 0, 1872, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -3108, 0, 0, 0, 0, 0, 1392, 0, 0, 0, 0, 0, -3580, 0, 0, 0, 0, 0, -848, 0, 0, 0, 0, 0, 2756, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 4044, 0, 0, 0, 0, 0, 2232, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, -5168, 0, 0, 0, 0, 0, 2808, 0, 0, 0, 0, 0, 1080, 0, 0, 0, 0, 0, 832, 0, 0, 0, 0, 0, -7064, 0, 0, 0, 0, 0, 608, 0, 0, 0, 0, 0, 2208, 0, 0, 0, 0, 0, -2680, 0, 0, 0, 0, 0, 2904, 0, 0, 0, 0, 0, -3168, 0, 0, 0, 0, 0, -3632, 0, 0, 0, 0, 0, -2112, 0, 0, 0, 0, 0, -3024, 0, 0, 0, 0, 0, -1632, 0, 0, 0, 0, 0, 3004, 0, 0, 0, 0, 0, 2360, 0, 0, 0, 0, 0, 5496, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, -5448, 0, 0, 0, 0, 0, 3200, 0, 0, 0, 0, 0, 4344, 0, 0, 0, 0, 0, 2884, 0, 0, 0, 0, 0, -3952, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 3000, 0, 0, 0, 0, 0, -3696, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -3512, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, -3540, 0, 0, 0, 0, 0, -944, 0, 0, 0, 0, 0, 5232, 0, 0, 0, 0, 0, 4544, 0, 0, 0, 0, 0, 5936, 0, 0, 0, 0, 0, 3176, 0, 0, 0, 0, 0, -776, 0, 0, 0, 0, 0, -6056, 0, 0, 0, 0, 0, 5368, 0, 0, 0, 0, 0, 716, 0, 0, 0, 0, 0, 516, 0, 0, 0, 0, 0, -6272, 0, 0, 0, 0, 0, 608, 0, 0, 0, 0, 0, 2896, 0, 0, 0, 0, 0, -7560, 0, 0, 0, 0, 0, 4032, 0, 0, 0, 0, 0, -1620, 0, 0, 0, 0, 0, -8316, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, -4784, 0, 0, 0, 0, 0, -1200, 0, 0, 0, 0, 0, 2800, 0, 0, 0, 0, 0, -864, 0, 0, 0, 0, 0, 7712, 0, 0, 0, 0, 0, 3096, 0, 0, 0, 0, 0, 864, 0, 0, 0, 0, 0, -8072, 0, 0, 0, 0, 0, 2272, 0, 0, 0, 0, 0, 4732, 0, 0, 0, 0, 0, 5152, 0, 0, 0, 0, 0, -5360, 0, 0, 0, 0, 0, 1824, 0, 0, 0, 0, 0, 5700, 0, 0, 0, 0, 0, -5920, 0, 0, 0, 0, 0, 784, 0, 0, 0, 0, 0, -2904, 0, 0, 0, 0, 0, -5900, 0, 0, 0, 0, 0, -1024, 0, 0, 0, 0, 0, -1948, 0, 0, 0, 0, 0, -6808, 0, 0, 0, 0, 0, 8220, 0, 0, 0, 0, 0, 4024, 0, 0, 0, 0, 0, 6432, 0, 0, 0], "hecke_cutter_primes": [], "level_primes": [2, 3, 19], "relative_dim": 12, "hecke_orbit_code": 274928239276, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 5, "prim_orbit_index": 2, "conrey_index": 305, "newforms": ["684.3.e.a"], "oldspaces": [[12, 4, 7, 4], [18, 2, 17, 4], [36, 4, 19, 2], [57, 3, 37, 6], [114, 4, 37, 4], [171, 3, 37, 3], [228, 8, 37, 2], [342, 4, 37, 2]]}