# Stored data for newform 572.2.j.a, downloaded from the LMFDB on 25 April 2024.
{"label": "572.2.j.a", "space_label": "572.2.j", "level": 572, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 618508845628, "dim": 140, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 52, "char_orbit_label": "j", "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, 4, [287, 365, 353], [2, 4, 1]], "inner_twist_count": 4, "level_primes": [2, 11, 13], "conrey_indexes": [463, 551], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 70, "sato_tate_group": "1.2.3.c4", "trace_display": [0, 0, 4, 0], "traces": [140, 0, 0, 0, 4, -12, 0, 12, -140, 0, 0, 0, 0, 16, 0, 0, 0, -12, 0, -8, -16, 0, 0, 0, 0, -32, 0, -20, 0, 0, 0, 20, 0, -8, 0, 0, 36, 0, 0, -80, -20, -20, 0, -8, -20, 60, 0, 20, 0, 88, 0, 0, -8, 88, 0, 0, -80, -60, 0, 12, -40, 0, 0, 0, -20, -20, 0, -80, 0, -28, 0, 20, 100, -136, 0, -32, 0, -88, 0, -72, 140, 0, 0, 92, 24, -32, 0, 0, -60, 0, 0, -68, -80, 64, 0, 100, -20, 92, 0, 0, 0, 152, 0, 40, 112, 100, 0, 0, 84, 0, 0, -68, -32, 0, 0, 0, 96, 152, 0, 56, 0, 40, 0, 20, -16, -140, 0, 0, 0, 80, 0, 32, -32, 0, 0, -12, -20, -152, 0, 0, -96, 0, 0, -88, 48, -108, 0, 52, 20, -132, 0, 240, 0, 40, 0, -24, -128, -96, 0, 0, -48, 0, 0, 172, 0, 0, 0, 0, -148, 0, 0, 168, 0, 32, 0, 0, 48, -64, 0, -132, 0, -36, 0, -40, 152, 0, 0, 24, 64, -36, 0, 0, -44, 0, 0, 96, -36, 0, 0, 212, 64, -40, 0, -80, 0, -12, 0, -80, 0, -144, 0, 0, 144, 40, 0, -288, 224, 0, 0, 0, 56, -16, 0, -320, 0, 12, 0, 132, -4, -184, 0, -56, 0, 216, 0, -124, 32, 0, 0, -64, -132, 0, 0, 0, 28, 0, 0, -64, -192, 64, 0, -116, 0, -28, 0, -16, 0, 16, 0, 48, -96, 24, 0, 0, -248, 64, 0, -36, 0, 0, 0, 0, -160, -200, 0, 228, 0, 176, 0, -92, 148, 176, 0, 72, 0, 0, 0, -80, -180, 0, 0, 8, 44, 64, 0, 0, 0, 0, 0, 280, 0, 240, 0, 56, 24, 160, 0, -20, 0, -184, 0, 336, 96, -100, 0, 0, -28, -12, 0, -8, -32, 0, 0, 0, 156, 56, 0, 124, 0, 100, 0, -100, -116, 156, 0, -4, 0, 0, 0, -144, -128, 0, 0, 56, 160, 44, 0, 0, -44, 0, 0, 60, 60, -192, 0, 116, -32, -176, 0, -88, 0, -4, 0, 96, -88, 44, 0, 0, -92, 88, 0, -40, 96, 0, 0, 0, -120, 296, 0, -448, 0, -108, 0, -224, -32, 208, 0, -132, 0, -44, 0, 4, -80, 0, 0, 40, -148, 20, 0, 0, -60, 0, 0, -256, 68, -280, 0, -348, 180, 68, 0, -4, 0, -368, 0, -336, 560, -64, 0, 0, 236, 28, 0, 128, -40, 0, 0, 0, 32, 32, 0, 364, 0, -180, 0, 32, -208, 184, 0, -44, 0, 80, 0, 472, -104, 0, 0, 60, -412, -212, 0, 0, 144, 0, 0, 60, -76, -24, 0, -92, 76, 0, 0, -80, 0, -24, 0, 204, 128, 32, 0, 0, -40, -172, 0, 252, -88, 0, 0, 0, -140, -136, 0, 0, 0, -240, 0, 248, -208, 200, 0, 228, 0, 284, 0, 160, 240, 0, 0, -104, 80, 484, 0, 0, -80, 0, 0, -24, -60, 480, 0, 48, 176, -12, 0, 112, 0, 40, 0, -324, 32, -60, 0, 0, -112, 16, 0, 32, 284, 0, 0, 0, 36, -120, 0, -176, 0, 332, 0, 200, 4, -228, 0, 176, 0, -248, 0, -112, 136, 0, 0, -288, 208, -44, 0, 0, 68, 0, 0, 648, 0, -212, 0, -628, 80, 84, 0, -368, 0, -116, 0, 0, -64, 172, 0, 0, -236, 136, 0, -152, 160, 0, 0, 0, 260, -560, 0, -292, 0, -368, 0, -148, 220, 60, 0, 556, 0, -384, 0, 440, 0, 0, 0, -80, -4, 236, 0, 0, -336, 0, 0, -240, 76, -152, 0, -112, 316, -88, 0, -392, 0, -44, 0, 376, 316, 260, 0, 0, 216, -320, 0, 256, 304, 0, 0, 0, -148, -56, 0, 464, 0, -124, 0, 64, -512, -32, 0, -92, 0, -48, 0, -76, -128, 0, 0, -380, -500, 48, 0, 0, 380, 0, 0, -228, 112, 416, 0, 224, 16, 184, 0, -448, 0, 196, 0, -48, -200, -28, 0, 0, -112, -44, 0, -508, 40, 0, 0, 0, -48, 424, 0, 32, 0, 160, 0, -408, -248, 328, 0, 436, 0, 472, 0, 56, 16, 0, 0, 20, -28, -320, 0, 0, 48, 0, 0, 240, 112, -408, 0, 80, -464, -4, 0, -88, 0, 12, 0, 104, -380, -604, 0, 0, 12, 212, 0, 76, 0, 0, 0, 0, 320, 60, 0, 184, 0, 68, 0, 0, -64, 64, 0, -60, 0, -112, 0, -44, -680, 0, 0, 144, 4, -344, 0, 0, 216, 0, 0, 448, 172, 0, 0, 156, -492, -484, 0, 160, 0, -116, 0, -912, 0, -288, 0, 0, -112, 188, 0, -376, -832, 0, 0, 0, -168, 208, 0, -248, 0, 180, 0, 140, 204, -240, 0, -312, 0, 540, 0, 268, -288, 0, 0, 240, 464, -60, 0, 0, 256, 0, 0, -80, 516, 304, 0, -184, 0, -156, 0, 420, 0, 52, 0, 188, 312, 240, 0, 0, 464, 172, 0, -180, -28, 0, 0, 0, 172, -696, 0, -380, 0, 744, 0, 240, -92, 96, 0, 132, 0, 32, 0, -400, 544, 0, 0, -240, 176, 100, 0, 0, 0, 0, 0, 624, 20, 92, 0, 692, 132, 28, 0, 24, 0, -520, 0, 464, -288, -316, 0, 0, -208, 8, 0, -72, 160, 0, 0, 0, -96, 672, 0, 604, 0, 184, 0, 16, 408, 128, 0, -360, 0, -560, 0, -396, 80, 0, 0, 408, -256, -104, 0, 0, -224, 0, 0, 140, -268, -264, 0, 168, 4, -168, 0, 264, 0, 160, 0, -32, -408, 76, 0, 0, -372, 224, 0, 328, -48, 0, 0, 0, 388, 724, 0, -248, 0, -572, 0, -544, 80, -40, 0, -564, 0, -84, 0, -60, 232, 0, 0, 12, 576, 480, 0, 0, -32, 0, 0, -112, -436, -600, 0, -172, -436, 324, 0, 148, 0, -520, 0, -204, -192, -108, 0, 0, 336, 92, 0, 68, -184, 0, 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, 13, 4, -1, 4, 0], [1, 1, 52, 6, 1, 4, 0]], "char_orbit_index": 10, "prim_orbit_index": 6, "minimal_twist": "572.2.j.a", "char_is_minimal": true, "conrey_index": 463, "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}