# Stored data for newform 930.2.a.f, downloaded from the LMFDB on 23 April 2024.
{"label": "930.2.a.f", "space_label": "930.2.a", "level": 930, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407842, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2287467292770388109, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [-1, 1]], [11, [-5, 1]], [19, [-1, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{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": 3720, "fricke_eigenval": -1, "atkin_lehner_string": "+-++", "analytic_conductor": 7.426087387979075, "hecke_ring_index": 1, "level_radical": 930, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [930, 1, [311, 187, 871], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 31], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.964", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.896", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.677", "prec": 17}], "related_objects": ["EllipticCurve/Q/930/f"], "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], [31, 1]], "trace_display": [-1, 1, -1, 1], "traces": [0, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 5, 1, 2, -1, -1, 1, -4, -1, 1, -1, 1, -5, -5, -1, 1, -2, 1, 1, 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"char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "930.2.a.f", "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], [1], [-1], [1], [1], [5], [1], [2], [-1], [-1], [1], [-4], [-1], [1], [-1], [1], [-5], [-5], [-1], [1], [-2], [1], [1], [4], [1], [-1], [-1], [5], [4], [-1], [1], [12], [-1], [2], [1], [4], [-1], [11], [5], [-1], [5], [-10], [1], [-6], [-1], [-4], [2], [9], [-1], [-5], [-1], [1], [-4], [-10], [-1], [10], [1], [1], [1], [-2], [-5], [6], [-4], [-5], [1], [15], [-1], [-13], [-12], [1], [1], [5], [-2], [13], [-1], [1], [-4], [-8], [1], [4], [-11], [4], [-5], [3], [1], [2], [-5], [-1], [10], [-1], [-1], [-18], [6], [5], [1]]}