# Stored data for newform 285.2.a.a, downloaded from the LMFDB on 18 April 2024.
{"label": "285.2.a.a", "space_label": "285.2.a", "level": 285, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554717, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 666118259663023950, "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": "0.021", "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": "0.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.901", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.872", "prec": 17}], "related_objects": ["EllipticCurve/Q/285/a"], "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, -6, -1, 0, 2, -1, -1, -6, -1, 1, 1, -2, 6, -8, 3, 1, 0, 1, 2, 4, 1, 0, -5, -6, 6, 2, -1, 4, -1, 0, -3, 0, 2, -2, 6, -1, 8, 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30, 8, 6, -13, -6, -4, 20, 13, 8, -50, -2, -14, 6, -32, -16, 26, 4, -1, -36, 46, 0, 44, -2, 0, -36, -24, -5, -6, 16, 19, 0, -48, 4, 0, -18, -12, 8, 2, -14, -24, -24, 30, -6, -42, 3, 2, 0, -12, 12, 48, 12, -8, 0, -6, -8, -8, -6, 20, -6, 0, 8, 0, -1, -12, 0, 4, -18, -10, 16, -52, 28, -18, 0, 0, -1, 0, 6, -2, -2, 4, 6, -40, 24, -8, -30, 0, -12, 4, 14, -8, -20, 18, 0, -3, -22, 34, -12, -36, 0, 30, -16, 10, -8, 44, 2, 0, -12, 2, -12, 48, -8, 0, -1, -6, 36, -30, -2, -10, -6, -24, -18, 20, -7, -31, 0, -12, -18, -24, -16, -14, 75, -6, -12, -8, -1, 32, -8, 0, -2, -42, 22, 0, -3, -6, 26, 8, 0, -6, 24, 16, 0, 16, -6, -16, 0, 28, 32, 20, 0, 14, 24, 4, -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.a", "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], [-6], [-1], [0], [2], [-1], [-1], [-6], [-1], [1], [1], [-2], [6], [-8], [3], [1], [0], [1], [2], [4], [1], [0], [-5], [-6], [6], [2], [-1], [4], [-1], [0], [-3], [0], [2], [-2], [6], [-1], [8], [-8], [-1], [-3], [-1], [-6], [0], [2], [-1], [6], [-6], [1], [-4], [12], [1], [2], [0], [-2], [7], [0], [6], [-8], [6], [-8], [-2], [16], [3], [14], [-4], [1], [-1], [12], [0], [8], [1], [1], [0], [0], [2], [6], [2], [4], [-18], [0], [1], [0], [8], [0], [8], [-1], [-5], [-12], [3], [-6], [-1]]}