# Stored data for newspace 784.2.m, downloaded from the LMFDB on 28 November 2025. {"Nk2": 3136, "analytic_conductor": 6.260271518468382, "char_conductor": 16, "char_degree": 2, "char_is_real": false, "char_orbit_index": 13, "char_orbit_label": "m", "char_order": 4, "char_parity": 1, "char_values": [784, 4, [687, 197, 689], [4, 1, 4]], "conrey_index": 197, "cusp_dim": 208, "dim": 154, "eis_dim": 32, "eis_new_dim": 20, "hecke_cutter_primes": [3, 5], "hecke_orbit_code": 824667276048, "hecke_orbit_dims": [2, 2, 2, 4, 4, 4, 8, 12, 20, 24, 24, 48], "label": "784.2.m", "level": 784, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 7], "level_radical": 14, "mf_dim": 240, "mf_new_dim": 174, "num_forms": 12, "prim_orbit_index": 5, "relative_dim": 77, "sturm_bound": 224, "trace_bound": 5, "trace_display": [2, 2, 2, 0], "traces": [154, 2, 2, 0, 2, 8, 0, -16, 0, -8, -2, 0, 2, 0, -12, 16, 4, 22, 10, 24, 0, -28, 0, 24, 0, 8, -16, 0, -18, 48, 16, -8, 4, -16, 0, 12, -6, 12, 0, -12, 0, 0, 10, 32, -2, 12, -16, -60, 0, -38, -56, -12, 10, -32, 0, 0, 0, -24, 30, -28, -14, -52, 0, 24, 12, 24, 10, 0, -20, 0, 0, -100, 0, 20, 18, -44, 0, 32, 8, -20, -70, 36, 42, 0, 16, 0, 0, 36, 0, 60, 0, 44, -4, -28, -52, 24, 4, 0, -74, 4, 26, 28, 0, 112, 0, -12, -42, -32, 26, 52, 12, 0, -28, 48, -68, -76, -46, 120, 0, -148, 0, -4, 24, 52, 16, 0, -80, 128, -12, -64, 2, 84, 0, -36, 0, 60, 0, -56, 38, 0, -12, 52, -76, 32, -4, -88, 0, -60, -14, 48, 0, -52, 0, 0, -84, 120, 34, -192, 108, -180, 0, 22, 42, 8, 0, -36, 0, 0, 0, -188, -126, -28, -46, -208, 0, 24, 20, -72, -6, -24, -14, 0, 0, 12, 0, 236, -4, -52, 0, 44, -8, -44, -28, -24, -36, 0, 22, -240, 0, 100, 0, 80, 0, 68, -64, -32, 300, 80, 20, 0, 94, -92, -68, 92, 0, 224, 0, -60, 68, -72, -4, 72, -48, 0, -42, -112, 114, 40, -46, 216, 0, -56, 0, 44, -76, -44, -64, 0, 96, 144, 36, 90, 34, 48, 0, -20, 0, 36, 0, -48, -34, 0, 0, 200, 216, -248, -36, -56, 0, -48, 78, 28, 0, -108, 0, 0, 156, 120, -6, 24, -96, -192, 0, -104, 46, 40, -70, -124, 0, 0, 0, -84, 142, -208, 68, -236, 0, 24, 6, -28, 36, -60, 82, 0, 0, -204, 0, 40, -28, -100, 0, 256, -116, -48, 44, 60, 18, 0, -112, -352, 0, 24, 0, 96, 0, 60, -22, -56, -92, 116, -28, 0, -120, 88, -22, 212, 0, 228, 0, -216, -2, 12, 2, 72, 60, 0, 20, 74, -196, 80, 96, 316, 0, -96, 0, 16, -226, 84, -38, 0, -296, 248, -4, -124, -28, 92, 0, 40, 0, 60, 0, 76, 62, 0, -36, 308, -176, 32, 0, -76, 0, 208, 10, 124, 0, -44, 0, 0, 2, 100, 0, -28, 112, -320, 0, 204, -2, 144, -102, -64, 0, 0, 0, 100, -160, -132, 90, -240, 0, 272, 36, -48, 16, 8, 26, 0, 0, -508, 0, -332, -16, -100, 0, 312, 172, -88, -44, 128, -70, 0, -26, -196, 0, 244, 0, 104, 0, 152, 220, -68, 104, 48, -28, 0, 84, -116, 44, -144, 0, 272, 0, -36, 278, -36, 116, 112, -180, 0, -84, 346, 168, -72, 140, 244, 0, 132, 0, 60, 108, 112, 106, 0, 208, 184, 32, -80, -102, 52, 0, -48, 0, 12, 0, -160, -70, 0, -22, -116, 240, -32, -68, -136, 0, -396, -84, 112, 0, -140, 0, 0, 146, -160, 12, -176, -100, -172, 0, 148, -38, -80, 156, 12, 0, 0, 0, -180, 238, 240, -14, -336, 0, 344, -112, -12, -56, -164, -32, 0, 0, -328, 0, 144, 6, -108, 0, 28, -408, 12, 134, -124, 42, 0, 176, 40, 0, -116, 0, 32, 0, -148, 66, -96, -132, 164, -68, 0, -226, -184, 18, 340, 0, 296, 0, 60, -24, 64, 130, 116, 180, 0, 128, 404, -158, 80, -140, 208, 0, -8, 0, 56, -18, -112, 96, 0, -388, -152, 44, -310, 20, 144, 0, -188, 0, 136, 0, -160, 126, 0, 20, 216, -388, -16, 76, -152, 0, 132, 0, -40, 0, -36, 0, 0, -330, 100, -78, -80, 0, -228, 0, -4, 144, -60, 162, -196, 0, 0, 0, 328, -242, 204, -224, -220, 0, 56, 50, 148, -112, -84, -20, 0, 0, 284, 0, 168, 168, -164, 0, 8, 148, -68, 36, 104, -110, 0, -100, -384, 0, 680, 0, 196, 0, -80, -150, -80, 60, 88, -56, 0, 174, -440, -110, -200, 0, 204, 0, 464, -164, -44, -80, 52, 4, 0, -52, 168, 336, 436, -166, 264, 0, -76, 0, -32, 134, 24, -160, 0, 436, 184, -36, -52, -70, 180, 0, -504, 0, 92, 0, 208, -72, 0, -74, 764, 380, -216, 160, -124, 0, -104, 74, 96, 0, 32, 0, 0, 452, -176, -48, -384, -80, -332, 0, 110, -144, -4, -266, -80, 0, 0, 0, 16, 236, -180, 90, -144, 0, -104, -140, -176, -390, 192, 12, 0, 0, -452, 0, -124, -190, 4, 0, -468, -136, -132, -76, 140, 172, 0, -106, -164, 0, -228, 0, 128, 0, -420, -316, -108, 20, 140, 100, 0, 0, -32, -86, 260, 0, 172, 0, -560, -168, -40, -212, 56, 192, 0, -76, -316, -270, -20, 252, 288, 0, -504, 0, -56, -176, 140, -30, 0, 360, 656, -72, 292, 160, 92, 0, -476, 0, -28, 0, -96, -18, 0, -60, 184, -484, -448, -60, -164, 0, -216, 58, -40, 0, -212, 0, 0, -30, -40, 50, 140, 28, -176, 0, -164, 428, -140, -100, -48, 0, 0, 0, -340, -328, -188, 266, -188, 0, -392, -60, -68, 432, -120, 26, 0, 0, -132, 0, -164, 46, -152, 0, 36, 40, -120, 76, -192, -10, 0, -92, 524, 0, 84, 0, 8, 0, 468, 154, -4, 76, -48, 76, 0, 230, 64, 156, -20, 0, 212, 0, -32, 22, -16, -164, 96, -244, 0, -48, -104, 256, -408, 204, 84, 0, -472, 0, -88, 206, -204, 182, 0, 432, 200, 4, 148, -164, 52, 0, 104, 0, 64, 0, -136, -276, 0, -30, -528, 604, 424, 132, 104, 0, 376, -64, 12, 0, -104, 0, 0, 340, 444, 138, -388, -160, -152, 0, -52, -174, 304, 216, -172, 0, 0, 0, -440, 352, 280, -100, -84, 0, -216, -14, 140, -82, -168, -100, 0, 0, 308, 0, 532, -162, -64, 0, 140, 276, 92, 4, 168, 48, 0, 94, -188, 0, 72, 0, 156, 0, 168, -52, 92, -712, 20, 196, 0, -288, 32, 90, 116, 0, 96], "weight": 2, "weight_parity": 1, "newforms": ["784.2.m.a", "784.2.m.b", "784.2.m.c", "784.2.m.d", "784.2.m.e", "784.2.m.f", "784.2.m.g", "784.2.m.h", "784.2.m.i", "784.2.m.j", "784.2.m.k", "784.2.m.l"], "oldspaces": [[16, 5, 5, 3], [112, 13, 29, 2]]}