# Stored data for newform 354.2.a.e, downloaded from the LMFDB on 25 April 2024.
{"label": "354.2.a.e", "space_label": "354.2.a", "level": 354, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543036770, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1599516717612380460, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [0, 1]], [7, [0, 1]], [11, [-4, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\\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": "0.018", "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": "0.999", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.973", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.907", "prec": 17}], "related_objects": ["EllipticCurve/Q/354/e"], "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, 0, 0], "traces": [0, 1, 1, -1, 1, 0, -1, 0, 1, 1, 0, 4, -1, 4, 0, 0, 1, 6, 1, -4, 0, 0, 4, -4, -1, -5, 4, -1, 0, 0, 0, 2, 1, -4, 6, 0, 1, -8, -4, -4, 0, 6, 0, 4, 4, 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56, 0, 0, 12, -36, -1, 0, 30, -19, 0, -32, 0, -64, 12, -10, 16, 0, -2, -14, 20, 24, 0, 14, -7, -4, 24, 0, -4, -24, 8, 0, 0, 4, 16, 16, 2, 0, 0, 16, 30, 0, -5, 24, 24, 0, 2, 0, -22, -4, 12, 10, 0, -30, 4, -16, 38, 0, 0, 0, -6, 46, 0, -4, 32, -56, 0, 40, -38, -6, 0, -34, 0, 28, 6, 34, 36, 0, 4, 10, 0, 26, 0, -22, 4, -24, -1, 0, 16, -8, 8, 8, 20, -8, 0, -26, 4, 0, -18, 0, 6, 0, 0, -27, -32, 8, 14, 0, 0, -58, 5, 24, 0, 8, -1, 0, -20, 20, 0, 18, 4, 56, 0, 12, 0, -36, -6, 0, 0, 0, -16, -16, 0, -26, 2, -20, 0, 0, 4, 26, 12, 8, 0], "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.e", "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], [0], [-1], [0], [1], [1], [0], [4], [-1], [4], [0], [0], [1], [6], [1], [-4], [0], [0], [4], [-4], [-1], [-5], [4], [-1], [0], [0], [0], [2], [1], [-4], [6], [0], [1], [-8], [-4], [-4], [0], [6], [0], [4], [4], [0], [-4], [-4], [-1], [-7], [-5], [-6], [4], [4], [-1], [0], [0], [4], [0], [-1], [0], [0], [2], [0], [1], [0], [-4], [-16], [6], [4], [0], [-14], [1], [2], [-8], [5], [-4], [0], [-4], [-8], [0], [1], [6], [-4], [0], [0], [4], [0], [4], [14], [0], [0], [-4], [-2], [-4], [0], [-1], [-10], [-7], [4], [-5]]}