# Stored data for newform 731.2.y.a, downloaded from the LMFDB on 19 April 2024. {"label": "731.2.y.a", "space_label": "731.2.y", "level": 731, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1649300996827, "dim": 768, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 28, "char_parity": 1, "char_degree": 12, "char_conductor": 731, "char_orbit_label": "y", "char_is_real": false, "Nk2": 2924, "analytic_conductor": 5.837064387755596, "level_radical": 731, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [731, 28, [173, 562], [21, 8]], "inner_twist_count": 4, "level_primes": [17, 43], "conrey_indexes": [4, 21, 47, 64, 140, 183, 293, 336, 446, 489, 514, 557], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 64, "sato_tate_group": "1.2.3.c28", "trace_display": [0, -14, -6, -28], "traces": [768, 0, -14, 104, -6, -36, -28, 0, 0, -18, -4, 34, 4, 26, 0, -152, -10, -24, 0, 22, -20, 12, -24, -100, 0, 0, 10, -42, -18, 48, 4, 0, 36, -4, -60, 0, 40, 12, 34, 6, -48, 0, 0, -104, -52, -74, 20, 94, 0, -344, 80, 12, 0, 60, -32, -50, 38, 112, 0, 0, -12, 10, 52, 144, -10, 0, -20, -54, -12, 0, 14, -208, -176, 46, -116, 0, 0, 140, -168, 32, 116, 186, 0, -60, -184, 176, 0, 24, -4, -58, -152, -136, 0, 0, 70, -332, 72, 104, -56, 0, -52, 14, -92, 0, 256, -348, 34, -2, 16, 0, 0, -132, 36, 198, -116, -108, 0, 68, 150, -160, 0, 160, -288, 142, 8, -358, 0, 0, -84, 580, 66, 116, 124, 0, 424, 336, -220, 0, 50, -308, 150, -74, 86, 0, 0, -6, -94, -184, 20, -144, 0, -224, 58, -436, 0, 162, -76, 0, 50, -102, 0, 0, 18, -96, -24, 96, -184, 0, -100, 26, -592, 0, 52, -756, 294, 488, 442, 0, 0, 84, 114, -200, 268, 110, 0, -452, -292, -268, 0, 226, -36, -68, 84, 228, 0, 0, -154, 154, 50, -392, 92, 0, 140, -256, -20, 0, 210, -360, 16, -142, -26, 0, 0, 104, -196, 776, -256, -340, 0, 212, -56, -336, 0, -176, -324, -28, 148, 128, 0, 0, -176, 386, -26, -652, -126, 0, 60, 502, -28, 0, -182, 440, -168, 402, 238, 0, 0, 152, 62, -468, 56, 600, 0, -244, -90, 0, 0, 70, 96, 158, 196, -146, 0, 0, -88, 16, -248, -108, -204, 0, -68, 720, 172, 0, -184, -76, 226, 394, -150, 0, 0, -10, 298, -22, -52, 234, 0, 272, -256, -180, 0, -518, -252, -244, 72, 454, 0, 0, 48, -104, 56, 424, 346, 0, -576, -26, 72, 0, 26, -500, 110, -378, -162, 0, 0, 122, 260, 924, 108, -110, 0, 468, -140, -924, 0, 64, 236, -258, -106, -282, 0, 0, 400, -194, 678, 352, -220, 0, 164, 456, -176, 0, -108, 32, -124, 352, 50, 0, 0, 364, -52, -58, -344, -12, 0, -404, -28, 212, 0, 58, 112, 234, -16, -378, 0, 0, -58, 624, 124, -92, -42, 0, -4, -166, -52, 0, -120, 964, 140, -400, 92, 0, 0, -132, 70, -896, 40, -964, 0, 236, 176, 1524, 0, -408, 28, -76, 286, -106, 0, 0, -698, 226, 256, 540, -360, 0, 276, -658, 216, 0, -500, 792, -82, 186, 360, 0, 0, 38, 218, 324, 540, -372, 0, -760, 176, 196, 0, 122, 1240, -616, -80, 662, 0, 0, -308, 208, 168, 468, 172, 0, -152, -332, 164, 0, -168, 588, -638, -584, 346, 0, 0, -414, -190, 696, -636, 52, 0, -552, -506, 1248, 0, -478, 156, -732, -410, 776, 0, 0, -80, 374, -126, 440, -180, 0, -524, 462, -376, 0, 552, 648, 364, 340, -78, 0, 0, -636, -262, -1230, -592, 402, 0, 356, -656, -380, 0, 598, 92, -70, 48, 444, 0, 0, 122, -424, -536, 724, 244, 0, 264, 360, 216, 0, 76, 132, 760, -1260, -440, 0, 0, 546, -84, -724, 424, 260, 0, 156, 192, -100, 0, 12, 360, -264, -76, -630, 0, 0, 1226, -260, -278, 924, 500, 0, -700, 448, -132, 0, -12, 908, 34, -392, -698, 0, 0, -392, -330, 510, -32, 588, 0, -32, -110, -204, 0, 378, -640, -576, -158, 190, 0, 0, 56, -100, 210, -880, 408, 0, -116, -284, -28, 0, 240, 992, -404, -742, 54, 0, 0, 800, -34, -598, 192, -456, 0, 1360, 140, -1248, 0, -128, -112, -432, 884, -186, 0, 0, -120, -920, -334, -1176, 844, 0, 252, -208, -8, 0, -154, 868, 420, -714, -372, 0, 0, 1280, -338, -600, 180, -418, 0, 568, 354, 1332, 0, 786, 244, 178, -318, -1406, 0, 0, 256, -482, 274, 768, 162, 0, 560, -556, 580, 0, -292, -1116, 172, -12, -540, 0, 0, -220, -314, 880, 76, 128, 0, -252, 442, 832, 0, 304, 340, 350, -834, 660, 0, 0, -30, 170, 226, 200, 98, 0, -876, 534, 1392, 0, 44, 60, -118, -56, -584, 0, 0, 194, -674, -54, -2052, -28, 0, 488, -654, 576, 0, -1340, -52, 334, 456, 940, 0, 0, -586, 46, -862, -332, -88, 0, -308, -1014, 628, 0, -844, -916, 614, 274, -846, 0, 0, -664, -32, -1102, -140, -1078, 0, -992, 630, -864, 0, 610, 188, -206, -520, -668, 0, 0, 584, 30, -136, 560, 100, 0, -640, -246, -608, 0, -288, -1148, 244, -370, -590, 0, 0, -1082, -6, -554, -660, -430, 0, -32, 308, -876, 0, -332, 164, -40, -196, -28, 0, 0, 120, -368, -852, 444, 396, 0, -1464, 550, -40, 0, 490, 932, -550, 12, 626, 0, 0, -1334, -346, -1056, -412, -174, 0, 256, 198, 324, 0, 288, 84, -1076, 234, 110, 0, 0, 532, 784, 60, -944, 26, 0, 932, -1936, 116, 0, -2, 276, 182, -218, 388, 0, 0, 934, -134, 1230, 140, -698, 0, 1308, 466, -900, 0, -66, -452, 786, -722, -360, 0, 0, 352, -856, 790, -436, 76, 0, 1420, 528, -364, 0, 788, -592, 410, -526, -320, 0, 0, -630, 140, 58, -132, 1344, 0, 1472, 1392, -1424, 0, 1070, -244, 1200, -838, 638, 0, 0, 412, -258, -410, 260, -144, 0, 168, -52, 64, 0, 160, -1760, 772, -248, -122, 0, 0, -202, 204, 64, -568, -330, 0, 1388, 286, -504, 0, -196, -224, 988, 606, 2200, 0, 0, -320, 22, -826, -132, 558, 0, -816, -1628, 744, 0, 102, -500, 208, 1008, 572, 0, 0, 248, 156, 10, -548, 306, 0, 1092, -566, -1800, 0, 612, -1080, 144, -148, 926, 0, 0, 516, 1218, 668, -980, -244, 0, 316, 80, -1160, 0, -568, -528, -500, 1528, -494, 0, 0, 36, 1060, 18, -740, 516, 0, 1808, 1282, -788, 0, -560, -36, -518, 1044, 1518, 0, 0, 144, 1704, -196, -3552, 1136, 0, -464, 678, 376, 0, 24, 168, -346, 930, -522, 0, 0, -720, 218, 602, -812, -436], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 3, 1, 4, 0], [1, 1, 43, 5, 1, 7, 0], [1, 1, 731, 25, 1, 28, 0]], "char_orbit_index": 25, "prim_orbit_index": 25, "minimal_twist": "731.2.y.a", "char_is_minimal": true, "conrey_index": 4, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}