# Stored data for newform 462.2.a.d, downloaded from the LMFDB on 25 September 2023.
{"label": "462.2.a.d", "space_label": "462.2.a", "level": 462, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666382, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2047086587960306487, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [0, 1]], [13, [-6, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1848, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 3.6890885733831538, "hecke_ring_index": 1, "level_radical": 462, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [462, 1, [155, 199, 211], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.064", "prec": 17}, {"__RealLiteral__": 0, "data": "1.911", "prec": 17}, {"__RealLiteral__": 0, "data": "0.260", "prec": 17}, {"__RealLiteral__": 0, "data": "4.704", "prec": 17}], "related_objects": ["EllipticCurve/Q/462/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, 1], [11, 1]], "trace_display": [-1, 1, 0, -1], "traces": [0, 1, -1, 1, 1, 0, -1, -1, -1, 1, 0, -1, 1, 6, 1, 0, 1, 4, -1, 6, 0, -1, 1, -4, -1, -5, -6, 1, -1, 6, 0, -2, -1, -1, -4, 0, 1, 10, 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"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], [0], [-1], [-1], [-1], [1], [0], [-1], [1], [6], [1], [0], [1], [4], [-1], [6], [0], [-1], [1], [-4], [-1], [-5], [-6], [1], [-1], [6], [0], [-2], [-1], [-1], [-4], [0], [1], [10], [-6], [6], [0], [-4], [1], [8], [-1], [0], [4], [-6], [1], [1], [5], [4], [6], [-10], [-1], [0], [1], [6], [-6], [0], [0], [-2], [2], [-1], [1], [0], [1], [-4], [4], [-4], [0], [16], [-1], [12], [-10], [-5], [6], [1], [-6], [-16], [0], [1], [4], [-2], [-1], [0], [-8], [6], [1], [-6], [0], [-6], [-4], [-2], [6], [0], [-1], [-6], [-1], [-1], [-5]]}