# Stored data for newform 462.2.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "462.2.a.c", "space_label": "462.2.a", "level": 462, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295886, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1633303306080005824, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-2, 1]], [13, [-2, 1]]], "qexp_display": "q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\\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": "0.023", "prec": 17}, {"__RealLiteral__": 0, "data": "0.968", "prec": 17}, {"__RealLiteral__": 0, "data": "0.090", "prec": 17}, {"__RealLiteral__": 0, "data": "1.911", "prec": 17}, {"__RealLiteral__": 0, "data": "0.297", "prec": 17}, {"__RealLiteral__": 0, "data": "4.721", "prec": 17}], "related_objects": ["EllipticCurve/Q/462/c"], "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, 2, -1], "traces": [0, 1, -1, -1, 1, 2, 1, -1, -1, 1, -2, 1, -1, 2, 1, -2, 1, 6, -1, -8, 2, 1, -1, 4, 1, -1, -2, -1, -1, 2, 2, 8, -1, -1, -6, -2, 1, 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"minimal_twist": "462.2.a.c", "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], [2], [1], [-1], [-1], [1], [-2], [1], [-1], [2], [1], [-2], [1], [6], [-1], [-8], [2], [1], [-1], [4], [1], [-1], [-2], [-1], [-1], [2], [2], [8], [-1], [-1], [-6], [-2], [1], [6], [8], [-2], [-2], [6], [-1], [8], [1], [2], [-4], [4], [-1], [1], [1], [-6], [2], [10], [1], [2], [1], [8], [-2], [4], [-2], [-14], [-8], [-1], [1], [4], [1], [-4], [6], [-4], [2], [-4], [-1], [-14], [-6], [1], [-8], [-1], [2], [-8], [2], [1], [-6], [4], [1], [12], [-8], [-2], [-1], [-14], [-2], [-2], [4], [-8], [-4], [-16], [1], [18], [-1], [1], [-1]]}