# Stored data for newform 154.2.a.a, downloaded from the LMFDB on 24 April 2024. {"label": "154.2.a.a", "space_label": "154.2.a", "level": 154, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554586, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2133456003970339024, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [0, 1]], [5, [4, 1]]], "qexp_display": "q-q^{2}+q^{4}-4q^{5}-q^{7}-q^{8}-3q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 616, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 1.229696191127718, "hecke_ring_index": 1, "level_radical": 154, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [154, 1, [45, 57], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 7, 11], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.006", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.123", "prec": 17}], "related_objects": ["EllipticCurve/Q/154/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [7, 1], [11, 1]], "trace_display": [-1, 0, -4, -1], "traces": [0, 1, -1, 0, 1, -4, 0, -1, -1, -3, 4, -1, 0, 2, 1, 0, 1, -4, 3, -6, -4, 0, 1, 4, 0, 11, -2, 0, -1, -2, 0, -2, -1, 0, 4, 4, -3, 10, 6, 0, 4, 4, 0, -8, -1, 12, -4, 2, 0, 1, -11, 0, 2, 6, 0, 4, 1, 0, 2, -12, 0, -14, 2, 3, 1, -8, 0, -12, -4, 0, -4, -8, 3, 4, -10, 0, -6, 1, 0, 0, -4, 9, -4, -6, 0, 16, 8, 0, 1, -6, -12, -2, 4, 0, -2, 24, 0, -14, -1, 3, 11, 6, 0, 18, -2, 0, -6, -16, 0, -14, -4, 0, -1, 14, 0, -16, -2, -6, 12, 4, 0, 1, 14, 0, -2, -24, -3, 8, -1, 0, 8, 6, 0, 6, 12, 0, 4, 6, 0, 14, 4, 0, 8, -2, -3, 8, -4, 0, 10, 2, 0, -24, 6, 12, -1, 8, 0, -8, 0, 0, 4, -4, -9, 4, 4, 0, 6, 4, 0, -9, -16, 18, -8, -14, 0, -11, -1, 0, 6, 4, 12, 20, 2, 0, -4, -40, 0, 4, 2, 0, -24, -4, 0, 2, 14, 0, 1, 6, -3, -14, -11, 0, -6, 2, 0, -16, -18, -12, 2, 6, 0, -8, 6, 0, 16, 32, 0, 2, 14, 0, 4, -8, 0, -2, 1, -33, -14, -2, 0, 20, 16, 0, 2, 30, 6, -8, -12, 0, -4, 16, 0, 12, -1, 0, -14, -4, 0, -12, 2, 0, 24, 12, 3, -4, -8, 0, 1, -6, 0, -10, -8, 6, -6, 0, 0, -24, -6, 0, -12, 12, 0, -20, -4, 0, -6, -11, 0, -30, -14, 6, -4, -10, 0, 6, -8, 0, 2, -4, 3, -1, -8, 0, 4, 18, 0, 48, -10, 0, -2, 8, 0, 8, 24, 0, -6, 56, -12, -10, 1, 0, -8, 14, 0, -2, 8, -12, 0, 6, 0, 2, -4, 0, 4, 24, 9, 22, -4, 0, -4, -2, 0, -20, -6, -30, -4, 48, 0, -18, 9, 0, 16, 2, -18, -1, 8, 0, 14, 8, 0, -10, 11, 0, 1, -6, 0, 32, -6, 0, -4, -16, -12, 17, -20, 0, -2, -16, 0, 22, 4, -12, 40, -6, 0, -10, -4, 0, -2, -4, 0, 4, 24, 0, 4, -10, 0, -4, -2, 24, -14, -30, 0, -16, -1, 0, -6, 0, 3, 24, 14, 0, 11, -18, 0, -4, 6, -36, -2, -10, 0, 16, 16, 0, 18, 12, 12, 24, -2, 0, -6, -32, 0, -2, 8, -6, -6, -44, 0, 14, -16, 0, -32, 16, 0, 2, -2, 0, -14, -24, 0, 28, -4, -3, 8, -36, 0, 24, 2, 0, -1, -18, 33, -4, 14, 0, 2, 8, 0, 2, -20, 0, -16, 30, 0, -32, -2, 0, -30, 0, -6, 12, 8, 0, 12, 8, 0, -66, 4, -18, -16, -16, 0, 20, -12, 0, 1, 56, 0, -28, 14, 0, 4, -36, 0, 8, 12, -12, -2, 8, 0, 44, -24, 0, -12, -36, -3, -24, 4, 0, 8, -28, 0, -4, -1, 0, 6, -72, 0, -2, 10, 0, 8, 10, -6, -34, 6, 0, 0, 8, 0, -7, 24, 36, 6, 8, 0, 64, 12, 0, -12, -1, 0, 14, 20, 0, 4, 56, 0, -12, 6, 42, 11, 12, 0, 0, 30, 0, 14, 14, -6, -16, 4, 0, 10, -34, 0, -56, -6, -9, 8, 6, 0, 28, -2, 0, 4, 44, -3, 14, 1, 0, 8, 6, 0, -6, -4, 24, -18, -12, 0, 12, -48, 0, 10, -12, 0, -16, 2, 0, -8, 24, 0, 8, -8, 36, -24, -4, 0, 8, 6, 0, -56, 4, 12, 46, 10, 0, -1, 18, 0, 8, 8, 0, -14, 6, 0, 41, 2, 0, -8, -40, 12, -12, 0, 0, -6, -32, 0, 2, -2, 24, 4, -6, 0, 4, -4, 0, -24, 6, -9, 12, -22, 0, 4, 10, 0, -24, 4, -12, 2, -8, 0, 20, 20, 0, 6, -24, 30, -8, 4, 0, -48, 14, 0, 22, 18, 0, -9, 26, 0, 14, -16, 0, -2, 36, 18, -24, 1, 0, -8, 12, 0, 36, -14, -3, -8, -56, 0, -16, 10, 0, -11, -30, 0, -60, -1, 0, 6, -6, 0, 18, -32, 0, 6, -8, 0, 8, 4, 0, 16, -26, 12, -18, -17, 0, 20, -22, 0, -10, 2, -27, 16, 32, 0, -22, -22, 0, -4, 12, 12, -12, -40, 0, 6, -24, 0, -8, 10, 18, 4, 16, 0, 28, 2, 0, 4, 96, 0, 26, -4, 0, -24, -48, 0, 14, -4, -48, 10, -24, 0, 16, 4, 0, 2, -48, -24, -22, 14, 0, 30, -24, 0, 8, 16, 0, 1, 32, 0, -22, 6, 0, 0, -14, -3, -28, -24, 0, -14, -16, 0, -8, -11, 18, 18, -4, 0, 16, 4, 0, -6, -30, 36, 38, 2, 0, 10, -16, 0, 48, -16, 6, -16, 18, 0, -4, -18, 0, -12, 20, -12, -20, -24, 0, 2, -4, 0, -16, 6, 0, 32, 30, 0, -25, 2, 0, -8, 36, 6, -1, 6, 0, 44, 40, 0, 2, -14, -72, 16, 32, 0, 28, 32, 0, -16, -44, 0, 56, -2, 0, 2, 0, 0, -24, 14, 42, 24, 24, 0, 34, -28, 0, 4, 30, 3, -44, -8, 0, 36, 16, 0, -8, -24, -9, -2, -12, 0, -16, 1, 0, 18, 4, -33, -24, 4, 0, -14, -80, 0, -52, -2, -18, -8, -36, 0, 6, -2, 0, 20, -6, 0, 24, 16, 0, -30, -16, 0, 110, 32, -54, 2, -30, 0, -6, 30, 0, 0, -16, 6, 12, -12, 0, -8, -14, 0, 16, -12, 0, -8, -4, 0, 8, 66, 0, -4, -22, 18, 16, 16, 0, 16, -6, 0, -27, -20, 48, 12, -8, 0, 32, -1, 0, -56, 56, 0, -14, 28, 0, -14, 2, 0, 6, -4, 42, 36, 18, 0, -24, -8, 0, -12, -32, 12, 16, 2, 0, -8, 56, 0, -42, -44, 0, 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": "154.2.a.a", "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], [0], [1], [-4], [0], [-1], [-1], [-3], [4], [-1], [0], [2], [1], [0], [1], [-4], [3], [-6], [-4], [0], [1], [4], [0], [11], [-2], [0], [-1], [-2], [0], [-2], [-1], [0], [4], [4], [-3], [10], [6], [0], [4], [4], [0], [-8], [-1], [12], [-4], [2], [0], [1], [-11], [0], [2], [6], [0], [4], [1], [0], [2], [-12], [0], [-14], [2], [3], [1], [-8], [0], [-12], [-4], [0], [-4], [-8], [3], [4], [-10], [0], [-6], [1], [0], [0], [-4], [9], [-4], [-6], [0], [16], [8], [0], [1], [-6], [-12], [-2], [4], [0], [-2], [24], [0], [-14], [-1], [3], [11]]}