# Stored data for newform 285.2.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "285.2.a.b", "space_label": "285.2.a", "level": 285, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925213, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1481482587619896808, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, 1]], [7, [2, 1]]], "qexp_display": "q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-2q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1140, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 2.275736457606491, "hecke_ring_index": 1, "level_radical": 285, "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": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [285, 1, [191, 172, 211], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.055", "prec": 17}], "related_objects": ["EllipticCurve/Q/285/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, 1], [19, 1]], "trace_display": [1, -1, -1, -2], "traces": [0, 1, 1, -1, -1, -1, -1, -2, -3, 1, -1, -2, 1, -4, -2, 1, -1, 2, 1, -1, 1, 2, -2, -4, 3, 1, -4, -1, 2, 4, 1, 0, 5, 2, 2, 2, -1, 0, -1, 4, 3, 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-38, 12, -22, -28, -6, -8, 8, -2, 0, -26, 24, 6, -13, -34, -28, 12, -3, 12, 14, 2, -26, 2, 0, 0, 10, -4, 1, 36, 10, -8, -12, -10, 0, -4, 40, -5, -18, -36, 13, 0, 16, 4, 64, -30, -16, 4, 2, -2, 12, -40, -26, -2, -10, -3, -46, 8, 4, 16, -24, 0, -8, 0, -2, -24, -12, 18, 12, 6, -16, 0, 0, -1, -4, 0, -20, -42, -10, -24, 52, -12, 14, -8, 0, -1, 24, -14, 2, 14, 28, -2, 32, -12, 0, 6, 0, 4, 0, -22, -8, 20, 10, 0, 3, 18, 18, 16, 4, 12, -42, 32, 14, 12, -60, 18, 0, -4, -2, 20, -52, -8, 8, -1, -14, 12, 46, -2, 18, 6, 8, 38, -12, 7, -31, 0, -12, -26, -4, -8, 34, 21, 2, 16, -24, 1, -16, 8, 4, -2, 18, 6, 0, -3, 10, -6, 16, 0, 2, 8, 24, -4, 40, 2, 8, 0, 28, 0, -12, -12, -2, 32, 0, 3], "weight_parity": 1, "has_non_self_twist": 0, "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]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "285.2.a.b", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [1], [-1], [-1], [-1], [-1], [-2], [-3], [1], [-1], [-2], [1], [-4], [-2], [1], [-1], [2], [1], [-1], [1], [2], [-2], [-4], [3], [1], [-4], [-1], [2], [4], [1], [0], [5], [2], [2], [2], [-1], [0], [-1], [4], [3], [0], [2], [-10], [2], [-1], [-4], [12], [1], [-3], [1], [-2], [4], [-2], [-1], [2], [6], [1], [4], [4], [-1], [2], [0], [-2], [7], [4], [2], [-16], [-2], [4], [2], [0], [-3], [-2], [0], [-1], [1], [4], [4], [-8], [1], [1], [0], [-12], [-2], [-2], [-10], [-4], [6], [0], [-1], [8], [4], [0], [12], [1], [-5], [-16], [-3], [-2], [-1]]}