# Stored data for newform 430.2.a.d, downloaded from the LMFDB on 23 April 2024.
{"label": "430.2.a.d", "space_label": "430.2.a", "level": 430, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666350, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 2080041189568064002, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [2, 1]], [7, [5, 1]]], "qexp_display": "q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}-5q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 1720, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 3.4335672869150566, "hecke_ring_index": 1, "level_radical": 430, "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": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [430, 1, [87, 261], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 43], "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": "0.965", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.901", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.697", "prec": 17}], "related_objects": ["EllipticCurve/Q/430/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1], [43, 1]], "trace_display": [1, -2, 1, -5], "traces": [0, 1, 1, -2, 1, 1, -2, -5, 1, 1, 1, -2, -2, -5, -5, -2, 1, 2, 1, 3, 1, 10, -2, -6, -2, 1, -5, 4, -5, -1, -2, -11, 1, 4, 2, -5, 1, -10, 3, 10, 1, 5, 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"level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "430.2.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], [-2], [1], [1], [-2], [-5], [1], [1], [1], [-2], [-2], [-5], [-5], [-2], [1], [2], [1], [3], [1], [10], [-2], [-6], [-2], [1], [-5], [4], [-5], [-1], [-2], [-11], [1], [4], [2], [-5], [1], [-10], [3], [10], [1], [5], [10], [-1], [-2], [1], [-6], [4], [-2], [18], [1], [-4], [-5], [10], [4], [-2], [-5], [-6], [-1], [8], [-2], [-3], [-11], [-5], [1], [-5], [4], [-3], [2], [12], [-5], [-8], [1], [7], [-10], [-2], [3], [10], [10], [7], [1], [-11], [5], [0], [10], [2], [-1], [2], [-2], [6], [1], [25], [-6], [22], [4], [3], [-2], [12], [18], [-2], [1]]}