# Stored data for newform 418.2.a.c, downloaded from the LMFDB on 19 April 2024.
{"label": "418.2.a.c", "space_label": "418.2.a", "level": 418, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295842, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1421473226987388430, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [-3, 1]]], "qexp_display": "q+q^{2}+3q^{3}+q^{4}-2q^{5}+3q^{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": 1672, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 3.33774680448952, "hecke_ring_index": 1, "level_radical": 418, "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": "0.011", "prec": 17}, "analytic_rank_proved": true, "char_values": [418, 1, [343, 287], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 11, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "0.969", "prec": 17}, {"__RealLiteral__": 0, "data": "0.006", "prec": 17}, {"__RealLiteral__": 0, "data": "1.928", "prec": 17}, {"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "4.829", "prec": 17}], "related_objects": ["EllipticCurve/Q/418/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [11, -1], [19, -1]], "trace_display": [1, 3, -2, 1], "traces": [0, 1, 1, 3, 1, -2, 3, 1, 1, 6, -2, 1, 3, -7, 1, -6, 1, -3, 6, 1, -2, 3, 1, 3, 3, -1, -7, 9, 1, 1, -6, 2, 1, 3, -3, -2, 6, -6, 1, -21, -2, -2, 3, 4, 1, -12, 3, 0, 3, -6, 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"prim_orbit_index": 1, "minimal_twist": "418.2.a.c", "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], [3], [1], [-2], [3], [1], [1], [6], [-2], [1], [3], [-7], [1], [-6], [1], [-3], [6], [1], [-2], [3], [1], [3], [3], [-1], [-7], [9], [1], [1], [-6], [2], [1], [3], [-3], [-2], [6], [-6], [1], [-21], [-2], [-2], [3], [4], [1], [-12], [3], [0], [3], [-6], [-1], [-9], [-7], [3], [9], [-2], [1], [3], [1], [7], [-6], [-12], [2], [6], [1], [14], [3], [15], [-3], [9], [-2], [6], [6], [-9], [-6], [-3], [1], [1], [-21], [-8], [-2], [9], [-2], [16], [3], [6], [4], [3], [1], [-16], [-12], [-7], [3], [6], [0], [-2], [3], [8], [-6], [6], [-1]]}