# Stored data for newspace 78.2.e, downloaded from the LMFDB on 19 June 2025.
{"Nk2": 312, "analytic_conductor": 0.622833135765987, "char_conductor": 13, "char_degree": 2, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [78, 3, [53, 67], [3, 1]], "conrey_index": 55, "cusp_dim": 20, "dim": 4, "eis_dim": 16, "eis_new_dim": 0, "hecke_cutter_primes": [5], "hecke_orbit_code": 274911461454, "hecke_orbit_dims": [2, 2], "label": "78.2.e", "level": 78, "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": [2, 3, 13], "level_radical": 78, "mf_dim": 36, "mf_new_dim": 4, "num_forms": 2, "prim_orbit_index": 3, "relative_dim": 2, "sturm_bound": 28, "trace_bound": 3, "trace_display": [2, 0, 4, 0], "traces": [4, 2, 0, -2, 4, 0, 0, -4, -2, 2, -8, 0, -2, 0, -4, -2, -2, -4, 0, -2, 8, 8, 0, 0, 0, 2, 0, 0, 6, 4, -16, 2, -4, -4, -8, -2, 18, 0, 12, -4, -2, 4, 0, 16, -2, 0, 16, 0, 6, 0, -16, 4, 4, 0, -16, 0, 8, -6, 8, 8, 18, -8, 0, 4, -26, -8, 8, -2, 12, -16, 8, 2, -52, -18, -8, 0, 16, 0, -16, -2, -2, 2, 0, -4, 14, 0, -12, 8, -20, -4, 0, 0, 0, 8, -8, 0, -12, -6, 16, 0, -10, -8, 48, 2, 8, 2, 24, 0, 24, 16, -4, 0, 6, 4, 24, -12, 4, 16, 16, 4, -18, 36, 8, 8, 12, 0, 16, 2, -40, -22, -16, -4, -8, -8, 8, 2, -26, 24, 16, -8, -4, 16, 16, 4, -18, -26, 0, -36, 6, 8, -32, 0, -2, 8, -16, -12, -4, -8, -4, 2, -48, 2, -16, 4, -20, 0, -24, -8, 22, 28, 0, 0, 28, -24, -16, -8, 16, 20, 0, -2, -4, 24, 8, 0, 10, 0, -16, -8, -4, -16, 8, 0, -6, -24, 8, -12, -12, 8, 0, 0, 12, 10, 48, 8, 14, 24, 0, -2, 16, 4, -8, -2, 40, -24, 40, 0, 0, 12, 0, 32, 4, -8, 8, 0, 0, 12, -32, -4, -24, -24, -16, -6, -24, 2, 32, 8, 0, -16, 0, -4, -6, -36, 0, 18, 6, 16, 0, 16, 12, 6, 8, 0, 24, -16, -8, -2, 6, -20, 16, 4, -12, -8, -8, 4, 20, 8, -16, -16, -4, 4, 8, 4, -4, -52, -16, 12, -6, 32, 8, 8, 68, 4, -40, 8, 8, -16, -32, 2, 0, 18, 32, 26, 22, 0, -8, -18, -4, 12, -72, 16, 40, -16, -20, 0, 10, 2, -48, -8, -4, -8, -48, -12, -8, -2, -8, 8, -60, 4, 0, 4, -12, -24, 16, 4, -48, -32, -16, 2, -8, -40, 32, 0, -36, 24, 32, -4, 28, 44, 0, 14, 32, 0, 0, 0, 12, 56, 24, -12, 4, -32, -12, -16, -2, 8, -32, 40, -4, 0, -48, 2, 30, -2, 64, 24, -52, 4, 0, 0, 4, -10, -8, 0, -38, -8, 12, -16, 78, -8, -32, -8, -8, 16, -48, 0, 80, 6, 0, -12, 116, -8, 96, -6, -8, 12, -16, -8, 4, 0, 0, 0, 30, 24, 8, 20, -2, 24, 64, 16, -22, -14, -16, -24, -16, 0, -48, -4, 16, 8, 8, -4, 12, 8, -8, -4, 32, 20, -8, -48, 8, 80, 8, 0, 34, 0, 0, -12, -48, 0, -24, 16, -12, -46, -32, -4, -52, -8, -24, 0, 12, 0, 8, 6, 4, -64, 16, -8, -14, -12, 8, -48, -18, 16, 48, 6, 16, -12, -80, -2, -48, 16, -12, -8, -80, 0, -16, -32, -2, 0, -32, -8, 42, -12, 0, -18, -44, 0, 24, -18, -48, -6, 48, 8, -108, 24, 32, 8, -40, -12, 64, -6, 24, 16, 8, 0, -50, 48, 0, -32, -18, -4, 0, -4, -4, -6, 64, 20, -40, 8, 32, 26, 116, -6, 72, 8, 0, 8, 8, 8, -26, 10, 8, 16, -50, -32, 0, -8, -12, -8, 24, -4, 44, -8, 12, 2, 88, 4, -64, -26, 18, 16, 48, -12, 0, -12, 32, 16, 6, 16, 0, 16, 28, 34, -40, 8, 6, 40, 0, -8, -12, 4, -48, -32, -32, -16, 48, -2, 76, 0, -40, 36, 24, 16, -16, 52, 4, 44, 32, 0, 0, -16, 0, 18, -60, 4, 8, 6, -40, 0, 48, 8, 26, -40, -16, 16, -82, -40, -64, 0, 12, 20, -32, 4, 18, -24, 4, -16, 30, 4, 80, 8, 12, -24, 64, 0, -36, -4, -16, 2, -68, 8, -32, 16, 40, -30, 0, 8, 6, 0, 8, 2, -2, -24, 8, 24, -40, -16, -24, 2, -32, -48, -32, -16, -20, 16, 16, -2, 26, -16, -48, -20, -30, 64, -4, 0, -8, -18, 72, 48, -24, -32, -128, 4, -30, 14, 16, 22, -56, 0, -32, -14, 8, -32, 88, 0, -10, 0, 32, 0, -26, 24, -24, 28, -8, 48, 0, 12, 68, -4, 0, -16, 8, -12, 16, -8, -20, 2, 80, -8, 10, -64, 8, 20, 0, -8, 104, 0, -12, -24, -24, 4, -8, -30, -16, 2, -48, 32, 32, 0, 4, -26, -80, -4, -36, 0, 12, 0, 56, 2, 0, -20, -4, -16, 48, 0, 30, -76, 0, 8, 48, -12, -40, -8, -32, 12, -48, -4, 52, 32, -96, 8, -4, -16, -32, 8, 14, -96, -16, 0, 20, 40, 0, 12, 12, 0, 0, 12, 36, 58, -32, -16, 16, 48, -12, 6, 44, 8, 24, 24, 20, -8, 0, -16, -36, 8, -8, 0, -28, 0, 8, 0, 40, -30, 104, 12, -48, -8, 64, 10, 46, 2, -80, -24, 24, 128, 32, 8, 40, -44, 24, -28, 12, -8, 56, -48, -32, 16, -112, 0, 18, -24, 56, -2, -12, 8, 24, -8, 0, -8, -32, -8, -32, 6, 16, 16, 70, -16, -64, -2, 12, 64, 24, -20, 60, 8, -8, -24, 132, 52, -48, 40, -4, -8, 128, 0, -4, 68, 16, 0, 32, 0, -64, -24, -12, -24, 24, 0, -78, 24, -40, -16, -50, -6, 0, -50, -16, -16, 24, 4, 32, 52, -8, -16, -8, -12, -24, 0, -24, 24, -24, 0, 14, 16, 0, -6, -52, -4, 0, -32, 20, 32, -112, -4, 24, 14, -64, 12, -16, 16, 32, -24, -4, -36, -16, 32, -16, 24, -24, 12, -10, -16, 0, 12, 36, -40, -128, -4, 92, -24, 16, -16, 40, 12, -48, -16, -4, -40, -32, 0, 26, -32, -36, -16, -108, -4, 40, 0, 72, 32, 16, -4, -60, 36, -48, -6, -86, 0, -144, 18, -4, -88, -80, 0, -16, 48, -8, -36, -18, -24, -112, -12, -12, -48, 48, -8, -12, -54, 32, 24, 240, 16, -56, -8, 48, 40, 40, -24, 18, 32, -4, -12], "weight": 2, "weight_parity": 1, "newforms": ["78.2.e.a", "78.2.e.b"], "oldspaces": [[26, 3, 3, 2], [39, 5, 16, 2]]}