# Stored data for newform 354.2.a.d, downloaded from the LMFDB on 25 April 2024.
{"label": "354.2.a.d", "space_label": "354.2.a", "level": 354, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666274, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2167822816287156500, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [4, 1]], [7, [1, 1]], [11, [3, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-4q^{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": 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": "0.009", "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": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.963", "prec": 17}, {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "1.902", "prec": 17}, {"__RealLiteral__": 0, "data": "0.108", "prec": 17}, {"__RealLiteral__": 0, "data": "4.762", "prec": 17}], "related_objects": ["EllipticCurve/Q/354/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], [59, -1]], "trace_display": [1, -1, -4, -1], "traces": [0, 1, 1, -1, 1, -4, -1, -1, 1, 1, -4, -3, -1, -1, -1, 4, 1, -7, 1, -4, -4, 1, -3, 2, -1, 11, -1, -1, -1, -2, 4, 0, 1, 3, -7, 4, 1, 7, -4, 1, -4, 3, 1, 5, -3, -4, 2, 12, -1, -6, 11, 7, -1, -8, -1, 12, -1, 4, -2, 1, 4, -14, 0, -1, 1, 4, 3, -4, -7, -2, 4, -15, 1, -4, 7, -11, -4, 3, 1, 5, -4, 1, 3, 1, 1, 28, 5, 2, -3, 4, -4, 1, 2, 0, 12, 16, -1, -4, -6, -3, 11, -17, 7, 20, -1, -4, -8, -10, -1, 2, 12, -7, -1, -18, 4, -8, -2, -1, 1, 7, 4, -2, -14, -3, 0, -24, -1, 8, 1, -5, 4, 12, 3, 4, -4, 4, -7, -13, -2, -8, 4, -12, -15, 3, 1, 8, -4, 6, 7, 19, -11, -2, -4, -7, 3, 0, 1, -2, 5, 8, -4, -2, 1, -22, 3, -12, 1, 24, 1, -12, 28, -4, 5, 9, 2, -11, -3, -1, 4, -5, -4, -10, 1, 14, 2, -28, 0, 21, 12, 1, 16, 4, -1, 5, -4, -4, -6, -16, -3, -20, 11, 4, -17, 2, 7, -12, 20, 2, -1, 12, -4, -5, -8, 15, -10, -20, -1, 0, 2, 4, 12, 7, -7, 7, -1, 11, -18, 17, 4, 1, -8, -3, -2, 12, -1, -48, 1, -5, 7, 24, 4, -17, -2, -1, -14, 24, -3, 4, 0, -1, -24, -20, -1, -6, 8, -28, 1, -21, -5, -7, 4, -2, 12, 11, 3, 32, 4, -4, -4, 21, 4, 1, -7, -1, -13, -33, -2, 22, -8, 0, 4, -7, -12, 1, -15, -16, 3, -3, 1, 32, 8, 4, -4, 16, 6, -4, 7, 3, 19, -2, -11, -5, -2, 17, -4, 56, -7, -26, 3, -20, 0, -33, 1, -14, -2, 4, 5, -12, 8, 6, -4, 10, -2, 28, 1, -11, -22, -2, 3, -12, -12, 10, 1, 7, 24, 16, 1, 34, -12, 18, 28, 0, -4, 13, 5, 8, 9, 28, 2, 7, -11, 1, -3, 36, -1, 60, 4, -7, -5, 11, -4, -3, -10, 2, 1, 16, 14, -4, 2, 3, -28, 8, 0, -32, 21, 24, 12, 2, 1, 2, 16, -8, 4, -21, -1, -12, 5, 5, -4, 38, -4, -14, -6, -12, -16, -20, -3, 22, -20, -4, 11, 24, 4, 0, -17, -4, 2, -21, 7, -10, -12, 13, 20, -1, 2, -4, -1, 8, 12, -5, -4, -25, -5, 12, -8, -77, 15, 14, -10, -3, -20, -34, -1, 1, 0, -8, 2, -8, 4, -19, 12, -6, 7, -1, -7, -16, 7, -19, -1, -7, 11, -9, -18, 2, 17, -4, 4, -12, 1, 7, -8, 20, -3, 4, -2, 0, 12, 35, -1, 4, -48, 2, 1, -15, -5, -44, 7, -8, 24, 4, 4, -7, -17, 2, -2, 16, -1, -23, -14, 22, 24, 22, -3, 14, 4, 12, 0, 15, -1, -4, -24, -24, -20, 26, -1, 68, -6, 12, 8, 10, -28, 4, 1, 4, -21, -80, -5, -36, -7, -9, 4, -42, -2, -28, 12, 11, 11, 0, 3, -19, 32, 1, 4, -3, -4, 40, -4, 5, 21, 18, 4, 3, 1, 10, -7, -8, -1, 10, -13, -14, -33, 8, -2, -5, 22, 28, -8, -36, 0, -5, 4, -21, -7, -24, -12, 72, 1, -1, -15, -6, -16, -28, 3, -4, -3, 22, 1, 1, 32, -5, 8, -1, 4, 24, -4, 4, 16, -21, 6, 0, -4, 16, 7, 6, 3, -28, 19, 20, -2, -25, -11, -40, -5, -4, -2, 8, 17, 13, -4, -2, 56, -12, -7, -5, -26, 12, 3, 3, -20, 4, 0, -2, -33, -4, 1, 41, -14, -12, -2, -49, 4, 21, 5, 5, -12, -32, 8, 6, 6, -15, -4, -6, 10, 4, -2, 20, 28, -40, 1, -3, -11, 0, -22, -24, -2, -48, 3, -4, -12, -12, -12, 46, 10, -7, 1, -16, 7, -4, 24, -7, 16, 42, 1, 26, 34, -11, -12, -20, 18, 4, 28, -17, 0, -1, -4, 52, 13, -1, 5, 8, 8, 15, 9, 3, 28, 32, 2, -21, 7, -12, -11, -17, 1, -28, -3, 48, 36, 17, -1, -18, 60, 5, 4, 0, -7, -12, -5, -24, 11, 36, -4, -20, -3, 17, -10, -22, 2, -5, 1, 1, 16, -35, 14, 26, -4, -24, 2, 12, 3, 3, -28, -4, 8, 48, 0, -76, -32, 1, 21, 10, 24, -46, 12, 20, 2, 8, 1, 32, 2, 6, 16, 18, -8, -2, 4, 28, -21, -1, -1, 10, -12, 21, 5, 18, 5, 0, -4, 7, 38, -12, -4, 45, -14, 2, -6, 8, -12, 18, -16, -11, -20, 18, -3, 14, 22, -32, -20, 27, -4, -84, 11, 4, 24, 12, 4, 8, 0, -21, -17, -12, -4, 37, 2, -1, -21, 88, 7, -20, -10, 1, -12, 13, 13, 16, 20, 33, -1, -30, 2, 0, -4, -22, -1, 42, 8, -96, 12, 0, -5, 26, -4, -25, -25, 7, -5, 48, 12, 2, -8, -1, -77, 14, 15, -24, 14, 16, -10, 46, -3, 20, -20, 3, -34, -36, -1, -36, 1, -32, 0, -15, -8, 4, 2, -4, -8, 24, 4, 28, -19, -16, 12, -50, -6, 4, 7, 4, -1, -42, -7, -8, -16, -3, 7, -48, -19, 20, -1, 2, -7, 0, 11, 56, -9, 5, -18, 40, 2, -32, 17, -17, -4, -15, 4, -3, -12, -56, 1, -12, 7, 10, -8, 26, 20, 15, -3, 77, 4, 20, -2, 40, 0, 24, 12, 33, 35, -84, -1, -42, 4, 14, -48, -18, 2, 6, 1, -4, -15, 36, -5, 4, -44, 12, 7, 21, -8, -16, 24, -6, 4, 13, 4, -31, -7, -10, -17, -20, 2, 12, -2, -28, 16, -26, -1, 8, -23, 11, -14, -4, 22, -12, 24, 2, 22, -30, -3, 64, 14, 12, 4, 10, 12, -24, 0, -10, 15, 80, -1, 32, -4, -7, -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.d", "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], [-1], [1], [1], [-4], [-3], [-1], [-1], [-1], [4], [1], [-7], [1], [-4], [-4], [1], [-3], [2], [-1], [11], [-1], [-1], [-1], [-2], [4], [0], [1], [3], [-7], [4], [1], [7], [-4], [1], [-4], [3], [1], [5], [-3], [-4], [2], [12], [-1], [-6], [11], [7], [-1], [-8], [-1], [12], [-1], [4], [-2], [1], [4], [-14], [0], [-1], [1], [4], [3], [-4], [-7], [-2], [4], [-15], [1], [-4], [7], [-11], [-4], [3], [1], [5], [-4], [1], [3], [1], [1], [28], [5], [2], [-3], [4], [-4], [1], [2], [0], [12], [16], [-1], [-4], [-6], [-3], [11]]}