# Stored data for newform 330.2.a.d, downloaded from the LMFDB on 19 April 2024.
{"label": "330.2.a.d", "space_label": "330.2.a", "level": 330, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666250, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1796331703015189387, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [0, 1]], [13, [-6, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1320, "fricke_eigenval": -1, "atkin_lehner_string": "-+--", "analytic_conductor": 2.635063266702253, "hecke_ring_index": 1, "level_radical": 330, "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": [330, 1, [221, 67, 211], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 11], "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": "0.994", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.996", "prec": 17}, {"__RealLiteral__": 0, "data": "0.022", "prec": 17}, {"__RealLiteral__": 0, "data": "5.045", "prec": 17}], "related_objects": ["EllipticCurve/Q/330/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], [5, -1], [11, -1]], "trace_display": [1, -1, 1, 0], "traces": [0, 1, 1, -1, 1, 1, -1, 0, 1, 1, 1, 1, -1, 6, 0, -1, 1, 2, 1, -4, 1, 0, 1, 0, -1, 1, 6, -1, 0, -10, -1, 0, 1, -1, 2, 0, 1, 6, -4, 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"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], [0], [1], [1], [1], [1], [-1], [6], [0], [-1], [1], [2], [1], [-4], [1], [0], [1], [0], [-1], [1], [6], [-1], [0], [-10], [-1], [0], [1], [-1], [2], [0], [1], [6], [-4], [-6], [1], [2], [0], [4], [1], [1], [0], [-8], [-1], [-7], [1], [-2], [6], [-10], [-1], [1], [0], [4], [-10], [-4], [-1], [-2], [0], [0], [1], [6], [-1], [-4], [2], [0], [0], [-8], [1], [2], [6], [-1], [-4], [0], [-6], [-8], [1], [1], [2], [-12], [0], [2], [4], [10], [1], [-6], [1], [0], [0], [0], [-8], [-4], [-1], [18], [-7], [1], [1]]}