# Stored data for newform 572.2.bs.a, downloaded from the LMFDB on 23 April 2024. {"label": "572.2.bs.a", "space_label": "572.2.bs", "level": 572, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 3023690531388, "dim": 1280, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 60, "char_parity": 1, "char_degree": 16, "char_conductor": 572, "char_orbit_label": "bs", "char_is_real": false, "Nk2": 2288, "analytic_conductor": 4.567442995617238, "level_radical": 286, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [572, 60, [287, 365, 353], [30, 12, 5]], "inner_twist_count": 8, "level_primes": [2, 11, 13], "conrey_indexes": [15, 59, 71, 115, 119, 163, 223, 267, 279, 323, 379, 383, 423, 427, 487, 531], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 80, "sato_tate_group": "1.2.3.c60", "trace_display": [-12, 0, -24, 0], "traces": [1280, -12, 0, -18, -24, -4, 0, -12, -156, -48, 0, 0, -24, -40, 0, 18, -36, -8, 0, 18, -40, -10, 0, -100, 0, -44, 0, -4, -12, -114, 0, -92, -20, 36, 0, -72, -24, 0, 0, 8, 0, 26, 0, -20, -80, 32, 0, 30, -36, -78, 0, 34, -80, -188, 0, -48, 0, -92, 0, 20, -28, 42, 0, 0, -48, 204, 0, 26, -36, 38, 0, -136, -24, -6, 0, -276, 0, -156, 0, -80, 60, 162, 0, -108, 16, -88, 0, 6, -64, 0, 0, -16, 64, 34, 0, 114, -8, -24, 0, -24, -36, 26, 0, 70, 0, -76, 0, 192, -64, -6, 0, 142, -4, -54, 0, 0, -168, -152, 0, -12, -24, -196, 0, -12, -176, -6, 0, -82, 0, 180, 0, -140, -16, 78, 0, 112, -16, 274, 0, -198, -24, 0, 0, -240, -128, 58, 0, -104, -264, -48, 0, 24, -24, -420, 0, 152, -304, 194, 0, 222, 156, -34, 0, 56, 136, -228, 0, 0, -88, -272, 0, -10, -36, 12, 0, -128, -40, 206, 0, -60, 0, 32, 0, 56, -12, 72, 0, -28, 172, -18, 0, 18, -24, 0, 0, -296, -16, 130, 0, 216, -12, -402, 0, 238, 252, -116, 0, 100, -64, -156, 0, -66, -288, -190, 0, 362, 68, -18, 0, 0, 136, -564, 0, 48, -252, -16, 0, -614, -104, 468, 0, 12, 0, -98, 0, -258, -276, 150, 0, 116, -96, 114, 0, -306, -40, 0, 0, 312, -64, -56, 0, 12, 72, 192, 0, 122, -36, 408, 0, -270, -72, 142, 0, 618, -128, 190, 0, 180, 36, 1062, 0, 0, -96, 528, 0, -140, -36, 190, 0, 410, -344, 326, 0, 330, 0, 284, 0, 290, 76, 306, 0, 388, 144, 438, 0, 1296, -360, 0, 0, 588, -4, -148, 0, 340, 96, 200, 0, 126, -408, 674, 0, -80, -112, 298, 0, 498, -120, 620, 0, -684, 116, 576, 0, 0, -328, -464, 0, -186, 48, -36, 0, 60, -100, -46, 0, 742, 0, -122, 0, 908, 72, -540, 0, 264, 268, -356, 0, -246, 264, 0, 0, -712, 256, -98, 0, -284, 420, 216, 0, 58, -276, 664, 0, -164, -528, 438, 0, -852, -168, 244, 0, -408, -224, -294, 0, 0, -88, -192, 0, -10, -36, -186, 0, 52, 208, -144, 0, 132, 0, -204, 0, 530, 184, -294, 0, 248, 16, -352, 0, 6, 168, 0, 0, -64, -900, -72, 0, 36, -112, -460, 0, -14, -36, 572, 0, -244, -80, 134, 0, -570, -88, 2, 0, -528, -148, 324, 0, 0, 476, 736, 0, -20, 84, 66, 0, -40, 668, -192, 0, 790, 0, -210, 0, -200, -76, -342, 0, -64, -272, -1372, 0, 468, 192, 0, 0, 584, -120, 46, 0, 168, 144, 232, 0, -484, -864, -96, 0, 30, -400, -106, 0, -324, -104, 28, 0, 66, 228, 54, 0, 0, 144, 344, 0, -78, -432, -400, 0, 124, 64, -678, 0, 526, 0, -152, 0, 308, 372, 594, 0, 16, 160, -250, 0, 18, 136, 0, 0, 632, 448, 34, 0, -66, -736, 686, 0, -1036, 96, 40, 0, 376, -384, 86, 0, -162, 1028, -238, 0, -678, 64, -144, 0, 0, 88, -920, 0, -42, 252, -144, 0, -504, 680, -236, 0, -650, 0, -532, 0, 16, 392, -864, 0, -380, 72, -36, 0, -1344, 360, 0, 0, -1336, 872, 224, 0, -236, 176, -702, 0, -242, 108, -1084, 0, -344, 1680, -312, 0, -1038, 32, -682, 0, -612, 156, -2724, 0, 0, 1092, -800, 0, 80, 684, 212, 0, -138, 288, -504, 0, -948, 0, 330, 0, -1420, 244, -528, 0, -1012, 692, -84, 0, -1062, 936, 0, 0, 388, -24, 252, 0, -18, -80, -6, 0, 224, 864, -908, 0, -86, 464, -932, 0, 888, -216, -912, 0, 546, 292, 30, 0, 0, 328, 1004, 0, 126, -1452, 432, 0, -186, 628, -186, 0, -2396, 0, -632, 0, -750, 292, 1416, 0, -70, -324, 478, 0, -30, -384, 0, 0, -168, -372, -26, 0, 192, 544, -24, 0, -20, -36, -606, 0, -172, -336, -40, 0, 1038, -1192, -342, 0, 994, 132, -150, 0, 0, 1136, -112, 0, 132, -972, 156, 0, 182, 424, 54, 0, -852, 0, -22, 0, -28, -472, 690, 0, 192, -520, 1076, 0, -498, -148, 0, 0, -784, 368, -146, 0, -410, 448, -200, 0, 384, -696, -1552, 0, 48, -168, -24, 0, 858, -808, -216, 0, 1524, -176, -408, 0, 0, 1088, -564, 0, 370, -36, 396, 0, -518, -104, 894, 0, -402, 0, -256, 0, -414, 108, 636, 0, -504, -400, 322, 0, -162, 224, 0, 0, -936, -256, 488, 0, 324, -144, -950, 0, 626, -444, -696, 0, 304, 0, 236, 0, -690, 368, -102, 0, 798, -660, 162, 0, 0, -232, -844, 0, 58, 444, 326, 0, -492, 548, 1340, 0, -112, 0, 150, 0, 80, 276, 852, 0, 340, -456, 1106, 0, 132, 460, 0, 0, 744, -472, 254, 0, 828, -328, 24, 0, 814, 396, 1016, 0, 166, -464, 544, 0, 1644, 128, 658, 0, 784, -100, 1860, 0, 0, 88, 1696, 0, 224, -900, 574, 0, 846, 632, 360, 0, 700, 0, 420, 0, 664, -424, 318, 0, 1324, -824, 736, 0, 3624, 136, 0, 0, 868, -128, -268, 0, 498, -632, 480, 0, 618, 1440, 2054, 0, 284, 944, 1030, 0, 1608, 8, 2484, 0, 172, -100, 1710, 0, 0, 764, -792, 0, 34, 408, 278, 0, 172, 72, 148, 0, 1896, 0, 178, 0, 2960, -704, -612, 0, 642, -88, -978, 0, 342, -716, 0, 0, -1280, -1032, -206, 0, -286, -136, 122, 0, 350, 660, 2288, 0, -1020, 80, 1308, 0, -1266, 264, 362, 0, -540, 32, -330, 0, 0, -56, -968, 0, -146, -36, -60, 0, 164, -856, 76, 0, 840, 0, -470, 0, -216, -156, -594, 0, 530, 464, -1218, 0, 114, -976, 0, 0, -384, 312, -88, 0, 428, -148, -298, 0, -362, 204, 1186, 0, -288, 1472, 768, 0, -1284, 708, -682, 0, -1878, 20, 522, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 11, 3, 1, 5, 0], [1, 1, 13, 6, -1, 12, 0], [1, 1, 44, 8, -1, 10, 0], [1, 1, 52, 12, 1, 12, 0], [1, 1, 143, 24, -1, 60, 0], [1, 1, 572, 45, 1, 60, 0]], "char_orbit_index": 45, "prim_orbit_index": 45, "minimal_twist": "572.2.bs.a", "char_is_minimal": true, "conrey_index": 15, "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}