# Stored data for newform 354.2.a.f, downloaded from the LMFDB on 19 April 2024.
{"label": "354.2.a.f", "space_label": "354.2.a", "level": 354, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22517998170407266, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 681943784842430752, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-4, 1]], [7, [0, 1]], [11, [4, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+4q^{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": 1416, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 2.8267042315533257, "hecke_ring_index": 1, "level_radical": 354, "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": "0.022", "prec": 17}, "analytic_rank_proved": true, "char_values": [354, 1, [119, 61], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 59], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.011", "prec": 17}, {"__RealLiteral__": 0, "data": "0.967", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.892", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.622", "prec": 17}], "related_objects": ["EllipticCurve/Q/354/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], [59, 1]], "trace_display": [1, -1, 4, 0], "traces": [0, 1, 1, -1, 1, 4, -1, 0, 1, 1, 4, -4, -1, 0, 0, -4, 1, -2, 1, 4, 4, 0, -4, 4, -1, 11, 0, -1, 0, 4, -4, -10, 1, 4, -2, 0, 1, -4, 4, 0, 4, -2, 0, 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-18, 0, 14, 4, -24, -16, 10, 12, -12, 0, -13, -32, -2, 16, -52, 4, 0, 0, 4, -22, -16, -6, -6, 0, 16, 0, 38, 0, -16, -48, 0, -12, 4, -1, 40, -2, 13, 0, -32, -16, 0, -8, 14, 16, 0, 14, -22, -4, -28, -16, 14, -7, -52, 0, 4, 12, -24, 4, 0, -72, -4, 0, 16, 2, 80, 0, 0, -10, -40, 11, 0, 8, 0, 2, 56, -2, -28, -4, 18, 0, 38, -4, 16, -34, -16, 20, 0, 2, -22, 16, 20, 36, 0, 0, -44, 30, 14, 4, 14, 40, -28, 6, -10, 28, 32, 0, 26, 0, -30, 16, -14, 24, -8, -1, 0, 48, -32, -8, 0, 44, 20, 0, 46, 0, 48, -22, 16, -14, 0, -4, 69, 0, 0, 14, -56, 0, 18, 5, 8, 56, -48, -1, 0, 4, 0, 4, 18, -4, 72, -28, -8, -8, -12, 2, 48, -8, 0, 0, -48, -16, -30, -10, -12, 0, 112, 4, -46, 12, 4, 24], "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": "354.2.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], [4], [-1], [0], [1], [1], [4], [-4], [-1], [0], [0], [-4], [1], [-2], [1], [4], [4], [0], [-4], [4], [-1], [11], [0], [-1], [0], [4], [-4], [-10], [1], [4], [-2], [0], [1], [-4], [4], [0], [4], [-2], [0], [-12], [-4], [4], [4], [4], [-1], [-7], [11], [2], [0], [0], [-1], [-16], [0], [-4], [4], [-1], [-4], [4], [-10], [0], [1], [0], [4], [-8], [-2], [-4], [0], [6], [1], [-14], [-4], [-11], [4], [0], [0], [8], [4], [1], [-2], [-4], [0], [-8], [-12], [-4], [-4], [-18], [4], [0], [4], [10], [4], [16], [-1], [14], [-7], [-4], [11]]}