# Stored data for newform 280.2.bj.c, downloaded from the LMFDB on 19 April 2024. {"label": "280.2.bj.c", "space_label": "280.2.bj", "level": 280, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9009604469981464, "dim": 4, "is_polredabs": true, "nf_label": "4.0.576.1", "trace_hash": 815026720454775717, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 6, 13, 6, 1]], [13, [-2, -4, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(-1+\\beta _{1}-\\beta _{2})q^{3}+2\\beta _{2}q^{4}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 56, "char_orbit_label": "bj", "char_is_real": false, "Nk2": 1120, "analytic_conductor": 2.235811256595851, "hecke_ring_index": 1, "level_radical": 70, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.198", "prec": 17}, "analytic_rank_proved": true, "char_values": [280, 6, [71, 141, 57, 241], [3, 3, 6, 5]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 5, 7], "conrey_indexes": [131, 171], "field_disc": 576, "field_disc_factorization": [[2, 6], [3, 2]], "field_poly": [4, 0, -2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.850", "prec": 17}, {"__RealLiteral__": 0, "data": "0.463", "prec": 17}, {"__RealLiteral__": 0, "data": "56.400", "prec": 20}, {"__RealLiteral__": 0, "data": "37.142", "prec": 20}, {"__RealLiteral__": 0, "data": "1332.392", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c6", "trace_display": [0, -6, 2, 10], "traces": [0, 4, 0, -6, 4, 2, 4, 10, 0, 4, 0, 0, 0, 8, 0, 0, -8, -12, 0, 0, -4, -18, -24, -6, -8, -2, 12, 0, 16, 0, -4, 8, 0, -24, -4, 8, -8, 12, 24, 0, 0, 0, 16, -28, 0, -4, -16, -12, 24, 22, 0, 8, 8, 12, -20, 0, 0, 24, -4, -12, 12, 14, -12, 16, -32, 4, 48, -10, 0, -4, 0, 0, 48, -24, 0, 6, 0, 0, -4, 12, -16, -26, 8, 0, -12, 0, -12, -34, -48, 18, 24, 20, -12, -36, 0, 0, -32, 0, 0, 96, -8, -6, 0, 14, 0, -6, -4, 6, 36, 42, -24, -24, -8, 24, -36, -6, 60, -16, 20, -36, -16, -26, 0, -10, 32, -4, -24, 0, 0, 30, 0, 0, -48, 0, -36, 18, 8, 0, 12, 0, -4, 0, -4, -24, -32, 30, -12, -48, 24, -42, -8, 12, 24, 0, -48, 16, 0, 8, 24, -16, 0, -12, 24, 8, 36, -24, 20, 12, -8, -12, 4, -72, -28, 12, 72, -2, 0, 32, 32, -24, -16, 20, 36, 0, -16, 12, 56, 24, 24, -18, 12, 72, 48, -16, -24, 0, 52, 0, -48, 20, 0, -6, -60, -30, -16, 18, 0, 36, -16, 0, -4, -16, 0, -4, 0, -14, -80, 8, -12, 12, 0, -36, 24, -40, 0, -8, 12, 12, 24, -4, -8, -48, -16, -24, 0, 12, 0, 0, -16, 0, 24, -12, 0, 48, -28, 26, 12, 36, -24, 38, 0, 0, -8, 0, 0, -8, -32, -36, -16, 24, -8, 84, -64, 30, 48, 0, 60, -4, -40, 18, -40, 8, 48, 0, 48, 0, -4, 24, 0, 80, 0, 48, 24, 0, 0, 12, -48, -18, 96, -6, -8, -12, 0, 0, 52, 0, 0, -120, -40, -36, 12, -70, 12, -42, 0, -14, -40, 0, 0, 0, -12, -12, 8, 36, -72, -4, 24, -36, 0, -24, -16, 0, -40, -24, -104, -4, 0, -54, 32, -48, 24, -28, -36, 24, 0, -20, 48, 32, 48, -24, 24, -24, 24, 40, 0, -2, 0, 30, -136, 20, 0, 0, 0, 36, 0, 0, 36, 32, 12, -84, 48, -2, 36, 0, 32, 0, -64, 26, 0, -12, 0, 36, -72, 60, 96, 6, 0, 0, -20, -40, 0, 24, 32, 30, -32, 0, -72, -4, -24, 0, 4, 40, 0, -64, 32, 12, 96, -28, 72, 60, -8, 42, 32, 4, -24, -52, -4, 0, 24, 18, 16, 48, -28, -36, 8, -18, -48, -24, 0, 0, 24, 0, 60, 24, 8, 12, 12, 56, -12, 24, 0, -72, 72, 0, -24, -68, 0, -24, 0, 32, 0, 52, -32, 18, -24, 18, -72, 44, -80, -84, 24, 48, 24, 0, -40, 16, 0, 20, 0, -16, 0, 96, 120, 0, 120, -36, 0, -54, 32, -10, 0, -96, -40, 24, -12, 0, -24, 0, 20, 12, -16, 24, -48, -10, 52, -12, -32, 12, 72, 0, 0, 72, -40, -56, 48, 48, 32, 0, -96, -4, -4, -18, 20, -36, 96, -12, 24, 66, -48, 30, 12, -72, 0, 60, -16, -14, 0, 0, 0, 0, -24, 12, -256, -12, 0, 12, -40, -36, 0, -24, 4, 0, 0, 0, -12, -6, -72, 84, 36, 0, 36, -54, 0, 6, 32, 0, -16, -52, 0, -100, 0, 12, 0, 24, -36, -12, 48, -36, -120, -80, -40, 48, 24, 42, -72, 12, -24, -26, -16, -24, 0, -16, -96, -112, 8, 0, -32, 72, 0, -24, 60, 18, 48, 24, 24, 16, 120, 0, -60, 0, -20, 68, 0, 0, 72, -12, -84, 12, -56, -24, -8, 0, -36, 104, 0, 26, 96, 14, -48, -34, 36, -24, 0, 12, 84, -20, -144, 72, 20, -24, 16, -22, 84, 36, 0, -2, -96, 72, 32, -48, 48, 0, 24, 84, 56, -24, 32, 44, 120, 24, 0, 18, 0, 0, -36, 0, -72, -18, 48, -120, -12, -72, -16, -72, 0, 0, 72, 0, 0, 0, 0, 26, 0, 4, 80, 0, -48, 22, 12, -12, -36, 144, -80, -88, 60, 18, -12, -48, 12, 12, 16, -52, 0, 18, 0, 0, 0, 0, 56, 12, 0, -108, -24, 240, -36, 24, 144, -44, -60, 0, -20, 0, -4, 0, 0, -36, 68, -6, -64, 66, -8, -48, 32, 0, -12, -48, -96, 56, 8, 0, -16, 56, 0, -36, 20, 30, 52, 20, 24, 28, 12, 96, 156, 44, -24, -30, 32, -72, -112, -28, 0, -24, -16, 0, 56, -42, 0, -156, 48, 24, -4, 84, 96, 92, 52, 0, 72, 0, -36, -24, -24, -36, -48, 126, 144, 0, 0, 36, 0, 0, -72, 56, -64, 48, 0, 8, -96, -60, 32, -24, 0, -24, 60, -220, 16, 16, 96, 42, -72, -70, 12, 60, 0, -8, 0, 16, 80, 72, -108, 0, 0, -60, 0, 72, -12, -18, 24, -18, -120, 6, 24, 0, 120, 0, -48, -8, -64, -36, -48, -64, 36, 36, -96, -66, -96, 0, 80, 36, 0, 80, 40, -60, -64, -96, 48, 6, -144, -132, 8, 24, -40, -192, -36, -48, -16, -6, -144, -104, -48, -24, 8, -12, -16, -184, -36, 0, -24, 36, 0, 84, 28, -10, 32, 18, -80, -12, -12, 0, 80, 0, 72, -56, 24, 120, -36, -10, -24, -96, 0, 120, 0, 0, -120, -64, 0, -32, 0, 54, 0, 24, 16, 48, -40, 0, -24, -48, 0, 16, 96, -132, -8, -20, 72, 90, 0, 10, 0, 2, 0, 216, 12, 0, -48, 120, 0, 78, 8, 0, 84, -24, 16, 90, 72, 0, -144, 0, 0, 68, -16, 18, 28, 0, 48, 120, -40, 24, 48, 0, -72, -168, 48, 12, 176, 34, 48, 36, 168, -90, 0, -84, -12, 128, 8, -24, 56, 72, -72, 144, 12, 0, 0, 18, 48, 12, 0, -32, 36, 0, 0, -36, -48, -36, 96, -24, -96, 0, -112, 0, -64, 0, 8, 0, -84, 30, 24, -36, -36, 36, 72, 66, 0, 0, 0, 0, -4, 40, 152, 68, 0, -36, 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, 56, 13, 1, 6, 0]], "char_orbit_index": 36, "prim_orbit_index": 13, "minimal_twist": "280.2.bj.b", "char_is_minimal": true, "conrey_index": 131, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 0], [-1, 1, -1, 0], [0, 0, 2, 0], [0, 0, 1, 0], [0, -1, 2, -1], [3, 0, -1, 0], [0, 0, 0, 2], [0, -2, 2, -2], [0, 0, 0, 1], [0, -2, 0, 4], [2, 0, -4, 2], [2, 2, 0, -1], [0, 3, 0, -1], [1, 0, -2, 1], [-4, 0, 4, 0], [-2, -1, -2, 0], [4, 0, -8, 2], [0, 3, 0, -3], [-2, 0, 2, 0], [-4, 3, -1, -1], [-8, 0, 4, 0], [-2, -2, 1, 2], [-4, 2, 4, -4], [-1, 0, 1, 0], [2, 2, 2, 0], [3, 0, -6, 5], [2, 0, 4, 0], [5, 0, -10, 1], [-2, 1, 2, -2], [4, -1, -4, 2], [0, -4, 0, 4], [-8, 6, 4, -6], [0, -2, -2, -2], [1, 0, 2, 0], [-4, 4, 4, -8], [4, 0, -2, 0], [6, 0, 0, 0], [0, -1, 0, 0], [0, -2, 0, 2], [3, 0, -6, -2], [2, -4, 4, -1], [-7, -2, 0, 1], [0, -8, 0, 4], [-2, 2, 2, -4], [-4, -2, 0, 1], [0, 0, -6, 0], [8, -4, -4, 4], [8, 0, -5, 0], [0, -1, 0, 1], [0, -1, 4, -1], [0, 2, 4, 2], [2, -1, 2, 0], [-10, 3, 10, -6], [0, -4, 0, 2], [0, 2, 0, 4], [6, -6, 0, 3], [-2, 5, 2, -10], [-2, 5, -2, 0], [4, -2, -2, 2], [0, -3, 7, -3], [-4, 4, 2, -4], [2, -8, 4, -2], [-8, 0, 0, 0], [0, 1, 2, 1], [12, -8, 0, 4], [-5, -3, 5, 6], [4, 0, -8, -2], [-1, 2, 0, -1], [0, 1, 0, 2], [0, 0, 0, 1], [16, -4, -8, 4], [-4, -3, -4, 0], [0, 4, 0, -2], [2, -1, -1, 1], [0, 6, 0, 0], [0, -2, 0, 10], [0, 0, -2, 0], [4, 3, -2, -3], [-4, 0, 0, 0], [-13, 2, 13, -4], [4, 3, -4, -6], [-3, 0, 6, -5], [2, 2, -10, 4], [2, 0, -4, -1], [-2, -7, -2, 0], [-17, 6, 17, -12], [-8, 0, -8, 0], [6, 4, -3, -4], [8, -2, -4, 2], [6, 5, -2, -4], [-2, -4, -2, 0], [-12, 7, 6, -7], [0, 0, 0, -6], [0, 3, 0, 0], [-8, 8, 0, -4], [-2, 0, 4, 6], [0, 8, 0, -5], [24, -8, 0, 4], [-2, 0, 0, 0]]}