# Stored data for newspace 684.2.k, downloaded from the LMFDB on 04 December 2023. {"label": "684.2.k", "level": 684, "weight": 2, "char_conductor": 19, "char_degree": 2, "char_parity": 1, "sturm_bound": 240, "dim": 18, "eis_dim": 48, "eis_new_dim": 0, "cusp_dim": 216, "mf_dim": 264, "char_order": 3, "char_orbit_label": "k", "char_is_real": false, "trace_bound": 7, "num_forms": 7, "Nk2": 2736, "analytic_conductor": 5.461767498255578, "level_radical": 114, "mf_new_dim": 18, "char_values": [684, 3, [343, 533, 325], [3, 3, 2]], "hecke_orbit_dims": [2, 2, 2, 2, 2, 4, 4], "trace_display": [0, 0, 1, 0], "traces": [18, 0, 0, 0, 1, 0, 0, 0, 0, 0, -4, 0, -7, 0, 0, 0, 7, 0, -4, 0, 0, 0, -13, 0, -16, 0, 0, 0, 11, 0, 0, 0, 0, 0, 6, 0, -4, 0, 0, 0, 3, 0, 9, 0, 0, 0, 5, 0, 34, 0, 0, 0, 9, 0, -16, 0, 0, 0, 13, 0, 9, 0, 0, 0, 50, 0, -17, 0, 0, 0, 3, 0, 21, 0, 0, 0, -20, 0, 1, 0, 0, 0, 8, 0, 3, 0, 0, 0, 13, 0, 20, 0, 0, 0, -61, 0, -11, 0, 0, 0, 3, 0, -56, 0, 0, 0, -72, 0, -31, 0, 0, 0, 8, 0, -10, 0, 0, 0, -44, 0, -14, 0, 0, 0, -66, 0, -9, 0, 0, 0, 39, 0, 48, 0, 0, 0, -25, 0, 23, 0, 0, 0, 38, 0, 130, 0, 0, 0, -31, 0, -56, 0, 0, 0, -26, 0, 9, 0, 0, 0, -2, 0, -24, 0, 0, 0, 27, 0, -68, 0, 0, 0, 51, 0, 48, 0, 0, 0, 100, 0, -27, 0, 0, 0, 28, 0, -4, 0, 0, 0, -84, 0, 17, 0, 0, 0, 80, 0, -9, 0, 0, 0, 60, 0, -77, 0, 0, 0, -60, 0, -51, 0, 0, 0, -5, 0, -64, 0, 0, 0, -114, 0, 41, 0, 0, 0, -20, 0, 4, 0, 0, 0, -33, 0, -106, 0, 0, 0, 12, 0, 41, 0, 0, 0, 95, 0, 69, 0, 0, 0, -83, 0, -20, 0, 0, 0, 97, 0, 40, 0, 0, 0, 15, 0, 98, 0, 0, 0, -7, 0, 25, 0, 0, 0, 6, 0, 68, 0, 0, 0, 33, 0, -15, 0, 0, 0, 16, 0, 32, 0, 0, 0, 92, 0, -81, 0, 0, 0, 29, 0, 8, 0, 0, 0, -46, 0, 25, 0, 0, 0, -12, 0, 17, 0, 0, 0, -15, 0, -44, 0, 0, 0, -71, 0, -72, 0, 0, 0, 40, 0, -112, 0, 0, 0, -138, 0, -47, 0, 0, 0, -44, 0, 264, 0, 0, 0, -27, 0, 20, 0, 0, 0, -96, 0, -97, 0, 0, 0, 111, 0, 42, 0, 0, 0, -69, 0, -17, 0, 0, 0, 50, 0, 60, 0, 0, 0, -59, 0, 104, 0, 0, 0, -11, 0, 72, 0, 0, 0, -19, 0, 14, 0, 0, 0, 47, 0, -7, 0, 0, 0, 89, 0, 60, 0, 0, 0, 236, 0, -75, 0, 0, 0, 70, 0, -24, 0, 0, 0, -132, 0, 13, 0, 0, 0, 112, 0, -24, 0, 0, 0, 41, 0, 53, 0, 0, 0, -105, 0, 73, 0, 0, 0, 29, 0, -102, 0, 0, 0, -148, 0, -108, 0, 0, 0, 108, 0, -180, 0, 0, 0, -71, 0, 96, 0, 0, 0, -8, 0, -100, 0, 0, 0, 94, 0, 156, 0, 0, 0, -79, 0, 6, 0, 0, 0, 133, 0, 136, 0, 0, 0, 7, 0, -150, 0, 0, 0, -52, 0, 73, 0, 0, 0, 49, 0, 122, 0, 0, 0, 23, 0, -188, 0, 0, 0, 54, 0, 40, 0, 0, 0, 80, 0, -29, 0, 0, 0, 24, 0, 34, 0, 0, 0, -26, 0, 8, 0, 0, 0, 56, 0, -63, 0, 0, 0, -3, 0, -101, 0, 0, 0, -125, 0, -104, 0, 0, 0, -9, 0, -198, 0, 0, 0, -168, 0, 62, 0, 0, 0, -28, 0, 120, 0, 0, 0, -78, 0, -188, 0, 0, 0, -232, 0, 48, 0, 0, 0, 37, 0, -16, 0, 0, 0, -39, 0, 72, 0, 0, 0, 11, 0, -60, 0, 0, 0, -79, 0, -48, 0, 0, 0, -61, 0, 37, 0, 0, 0, -3, 0, 152, 0, 0, 0, 58, 0, -79, 0, 0, 0, 106, 0, 15, 0, 0, 0, 186, 0, -55, 0, 0, 0, 31, 0, 17, 0, 0, 0, -152, 0, -136, 0, 0, 0, 84, 0, 51, 0, 0, 0, 119, 0, 17, 0, 0, 0, -126, 0, -83, 0, 0, 0, -38, 0, 132, 0, 0, 0, -100, 0, -60, 0, 0, 0, 44, 0, 274, 0, 0, 0, -97, 0, 72, 0, 0, 0, 78, 0, -1, 0, 0, 0, 89, 0, 76, 0, 0, 0, -136, 0, -103, 0, 0, 0, 118, 0, 208, 0, 0, 0, 9, 0, 152, 0, 0, 0, 40, 0, -11, 0, 0, 0, 21, 0, -12, 0, 0, 0, -6, 0, 97, 0, 0, 0, -35, 0, 123, 0, 0, 0, -40, 0, 31, 0, 0, 0, -40, 0, 37, 0, 0, 0, 32, 0, 144, 0, 0, 0, 42, 0, 57, 0, 0, 0, 3, 0, 44, 0, 0, 0, -43, 0, -24, 0, 0, 0, 55, 0, -184, 0, 0, 0, -92, 0, -89, 0, 0, 0, -172, 0, -250, 0, 0, 0, -14, 0, -216, 0, 0, 0, -144, 0, -153, 0, 0, 0, 62, 0, 119, 0, 0, 0, -45, 0, -53, 0, 0, 0, 37, 0, 68, 0, 0, 0, -69, 0, -282, 0, 0, 0, 25, 0, -28, 0, 0, 0, -12, 0, -256, 0, 0, 0, 44, 0, -203, 0, 0, 0, 87, 0, 119, 0, 0, 0, 272, 0, -129, 0, 0, 0, 66, 0, 5, 0, 0, 0, -192, 0, 73, 0, 0, 0, 24, 0, -93, 0, 0, 0, 23, 0, -212, 0, 0, 0, -39, 0, 84, 0, 0, 0, 32, 0, -158, 0, 0, 0, 22, 0, 253, 0, 0, 0, 48, 0, 112, 0, 0, 0, 60, 0, -152, 0, 0, 0, 86, 0, 232, 0, 0, 0, 85, 0, 8, 0, 0, 0, -60, 0, 57, 0, 0, 0, 75, 0, 30, 0, 0, 0, 67, 0, 74, 0, 0, 0, 61, 0, 16, 0, 0, 0, 72, 0, 82, 0, 0, 0, 75, 0, 25, 0, 0, 0, -17, 0, -36, 0, 0, 0, 100, 0, 68, 0, 0, 0, 81, 0, 122, 0, 0, 0, 70, 0, 29, 0, 0, 0, 158, 0, 109, 0, 0, 0], "hecke_cutter_primes": [5, 7], "level_primes": [2, 3, 19], "relative_dim": 9, "hecke_orbit_code": 687228322476, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 11, "prim_orbit_index": 3, "conrey_index": 505, "newforms": ["684.2.k.a", "684.2.k.b", "684.2.k.c", "684.2.k.d", "684.2.k.e", "684.2.k.f", "684.2.k.g"], "oldspaces": [[38, 3, 7, 6], [57, 5, 7, 6], [76, 5, 45, 3], [114, 5, 7, 4], [171, 6, 64, 3], [228, 9, 49, 2], [342, 7, 163, 2]]}