# Stored data for newform 525.2.bk.a, downloaded from the LMFDB on 19 April 2024.
{"label": "525.2.bk.a", "space_label": "525.2.bk", "level": 525, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 2473934717453, "dim": 480, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 20, "char_parity": 1, "char_degree": 8, "char_conductor": 75, "char_orbit_label": "bk", "char_is_real": false, "Nk2": 2100, "analytic_conductor": 4.19214610611722, "level_radical": 105, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [525, 20, [176, 127, 451], [10, 3, 20]], "inner_twist_count": 4, "level_primes": [3, 5, 7], "conrey_indexes": [8, 92, 113, 197, 302, 323, 428, 512], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 60, "sato_tate_group": "1.2.3.c20", "trace_display": [0, 4, 0, 0], "traces": [480, 0, 4, 0, 0, 0, 0, 0, 0, 16, 0, -16, 8, 0, 16, 120, 0, 20, -40, 0, 0, -48, 0, 0, -104, 0, 16, 0, 0, -20, 0, 0, -28, -80, 0, 0, 16, 0, -40, -64, 0, -80, 40, 0, -20, 0, 0, -276, 0, 0, 0, 0, 0, -260, -40, 0, -4, -40, 0, -52, 0, 0, -32, 160, 0, 0, 56, 0, 0, 8, 0, 288, 48, 0, 60, 0, 0, 140, 80, 0, -40, 0, 0, 0, -184, 0, 96, -56, 0, 24, 0, 0, 96, -560, 0, 0, -24, 0, 0, -64, 0, 36, -392, 0, -24, 40, 0, -104, -120, 0, -60, -32, 0, 0, -96, 0, -92, 80, 0, -272, 120, 0, -160, 0, 0, 0, 8, 0, -60, 56, 0, -108, -24, 0, 120, -40, 0, 268, 160, 0, -60, 280, 0, -200, 120, 0, 4, 80, 0, 420, 0, 0, 228, 0, 0, 0, 176, 0, 280, 392, 0, 12, 32, 0, -80, -40, 0, 40, -80, 0, 0, -160, 0, 0, 48, 0, -92, -64, 0, -172, 0, 0, -248, 0, 0, 0, 88, 0, 0, -416, 0, 0, -64, 0, -412, -120, 0, -132, 0, 0, -40, 448, 0, -320, 304, 0, -380, 784, 0, 128, 0, 0, 24, 280, 0, 0, 136, 0, 0, -16, 0, -148, 368, 0, -108, -320, 0, 252, 360, 0, -20, -696, 0, 0, -56, 0, 252, 224, 0, 312, -240, 0, 24, 560, 0, 0, -32, 0, 0, 16, 0, 168, -224, 0, -312, -360, 0, 32, 0, 0, 20, -360, 0, -600, -112, 0, -276, -832, 0, -68, 0, 0, 56, 0, 0, 160, -96, 0, 400, 48, 0, -84, 264, 0, -100, -160, 0, -28, 0, 0, -140, -208, 0, 0, 264, 0, 420, 336, 0, 744, 0, 0, 44, 80, 0, 0, 136, 0, 540, -560, 0, 752, 40, 0, -40, -160, 0, 724, 320, 0, 0, -16, 0, 0, 248, 0, -156, -608, 0, 168, 80, 0, 296, -240, 0, 0, 112, 0, 0, 400, 0, 24, 0, 0, -52, 160, 0, 96, 0, 0, 160, -160, 0, 320, -368, 0, 0, 240, 0, -80, 240, 0, 128, -120, 0, 120, -248, 0, 260, -584, 0, -152, -424, 0, 208, 480, 0, 48, 120, 0, 0, -8, 0, 760, -224, 0, 72, -224, 0, 704, 200, 0, -76, -640, 0, 240, -864, 0, 0, 224, 0, -280, -304, 0, 280, 0, 0, -296, 80, 0, 60, -336, 0, 20, -688, 0, -36, 432, 0, -64, -160, 0, 52, 0, 0, 0, -208, 0, -120, 1152, 0, 652, -424, 0, 216, 40, 0, 248, 480, 0, 0, 1072, 0, 360, 144, 0, 80, -64, 0, 56, 80, 0, 212, -320, 0, -280, 136, 0, 40, 1304, 0, 60, 496, 0, -52, 0, 0, -668, 0, 0, -320, 320, 0, 0, -560, 0, 284, 528, 0, 152, -160, 0, 48, -200, 0, -420, -88, 0, -840, 16, 0, -588, -336, 0, -604, 80, 0, 88, 0, 0, 0, 112, 0, 0, -168, 0, -592, -1136, 0, -920, 0, 0, -768, -160, 0, -420, -872, 0, 180, -432, 0, -60, -256, 0, -80, -80, 0, -784, -320, 0, -200, -112, 0, -900, 32, 0, -760, -1000, 0, 496, 80, 0, -40, -1800, 0, 80, 144, 0, 0, -648, 0, -952, -144, 0, -228, -40, 0, -776, -400, 0, -20, -680, 0, 620, -544, 0, -256, 680, 0, 684, -80, 0, -484, 0, 0, -280, 480, 0, -360, -1248, 0, 936, 488, 0, 516, -80, 0, -64, 40, 0, 0, 104, 0, -560, 48, 0, 544, 408, 0, -552, 0, 0, 676, -40, 0, -80, -8, 0, -140, 248, 0, 520, 184, 0, -504, 0, 0, 768, 560, 0, 40, 224, 0, 0, 680, 0, 268, 256, 0, -36, -440, 0, 100, 400, 0, 0, 8, 0, 840, 552, 0, 320, 864, 0, -252, -160, 0, -680, 0, 0, 0, -544, 0, -700, 16, 0, -52, -8, 0, 720, -360, 0, 320, 1680, 0, 160, 576, 0, -640, 896, 0, 48, -832, 0, -324, -480, 0, -612, 0, 0, 20, 928, 0, 320, 368, 0, -756, 1616, 0, -1288, -240, 0, 80, -400, 0, 0, -176, 0, 0, 192, 0, 892, 256, 0, 356, 240, 0, -512, 840, 0, 120, 1904, 0, 440, -320, 0, 336, -160, 0, 468, 120, 0, 780, 0, 0, 880, 216, 0, 0, 800, 0, -392, 376, 0, 36, 80, 0, -24, 80, 0, 360, 368, 0, 600, -288, 0, -196, 992, 0, -592, 560, 0, -144, 960, 0, 300, -368, 0, -760, -1120, 0, 428, 208, 0, -8, 80, 0, -704, 280, 0, -20, 16, 0, 0, 400, 0, 272, -920, 0, -624, 40, 0, 684, 80, 0, 620, -544, 0, -600, 1280, 0, -484, -256, 0, -8, 280, 0, 312, 0, 0, 0, 248, 0, 1180, 168, 0, -712, -640, 0, -1148, 0, 0, -504, -1400, 0, 200, -304, 0, 0, 208, 0, -528, -72, 0, 584, 0, 0, -524, -920, 0, 0, 200, 0, -580, -296, 0, 180, -2008, 0, -32, -120, 0, -216, 1280, 0, -240, -32, 0, 0, -592, 0, 228, 584, 0, 144, 280, 0, 1660, 800, 0, 0, 1280, 0, 840, 1288, 0, 1220, -104, 0, 916, 0, 0, 852, 0, 0, -520, 320, 0, 980, -224, 0, 20, 776, 0, 152, -200, 0, 1336, -320, 0, -80, -1112, 0, 1160, 704, 0, -32, -168, 0, 416, -320, 0, 20, 1120, 0, 280, 992, 0, 960, -304, 0, -756, 112, 0, 964, 200, 0, -484, 360, 0, 220, 1776, 0, 0, 1080, 0, -192, 1664, 0, 944, 0, 0, -48, 400, 0, -160, 528, 0, -300, 328, 0, -284, 880, 0, -56, -320, 0, -480, 0, 0, -160, -776, 0, -600, -184, 0, 704, -1592, 0, -32, 120, 0, -532, 160, 0, 0, -1000, 0, -340, -336, 0, -712, -136, 0, -832, -1440, 0, 232, -1240, 0, 160, 40, 0, -340, 160, 0, -80, -80, 0, -1136, -480, 0, -468, 0, 0, 200, -600, 0, 0, -1088], "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, 3, 2, -1, 2, 0], [1, 1, 25, 6, -1, 20, 0], [1, 1, 75, 12, 1, 20, 0]], "char_orbit_index": 37, "prim_orbit_index": 12, "minimal_twist": "525.2.bk.a", "char_is_minimal": true, "conrey_index": 8, "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}