# Stored data for newform 546.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "546.2.a.b", "space_label": "546.2.a", "level": 546, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925474, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 701692300716802579, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[5, [2, 1]], [11, [4, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-2q^{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": 2184, "fricke_eigenval": 1, "atkin_lehner_string": "+-+-", "analytic_conductor": 4.359831950361909, "hecke_ring_index": 1, "level_radical": 546, "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": [546, 1, [365, 157, 379], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 7, 13], "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": "1.031", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.060", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.120", "prec": 17}], "related_objects": ["EllipticCurve/Q/546/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [7, 1], [13, -1]], "trace_display": [-1, 1, -2, -1], "traces": [0, 1, -1, 1, 1, -2, -1, -1, -1, 1, 2, -4, 1, 1, 1, -2, 1, -2, -1, -4, -2, -1, 4, -4, -1, -1, -1, 1, -1, -2, 2, 0, -1, -4, 2, 2, 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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], [-2], [-1], [-1], [-1], [1], [2], [-4], [1], [1], [1], [-2], [1], [-2], [-1], [-4], [-2], [-1], [4], [-4], [-1], [-1], [-1], [1], [-1], [-2], [2], [0], [-1], [-4], [2], [2], [1], [-2], [4], [1], [2], [2], [1], [4], [-4], [-2], [4], [-12], [1], [1], [1], [-2], [1], [6], [-1], [8], [1], [-4], [2], [0], [-2], [-10], [0], [-1], [1], [-2], [4], [4], [-2], [-4], [-2], [-8], [-1], [-6], [2], [-1], [-4], [4], [-1], [8], [-2], [1], [-2], [8], [-1], [4], [-4], [-2], [4], [-6], [2], [-1], [-4], [0], [12], [8], [-1], [2], [-1], [-4], [-1]]}