# Stored data for newform 575.2.a.a, downloaded from the LMFDB on 05 February 2023.
{"level_primes": [5, 23], "is_polredabs": true, "sato_tate_group": "1.2.3.c1", "rm_discs": [], "conrey_indexes": [1], "cm_discs": [], "trace_hash": 96511295108284853, "level_radical": 115, "hecke_ring_index_proved": true, "self_twist_type": 0, "related_objects": ["EllipticCurve/Q/575/a"], "prim_orbit_index": 1, "is_cm": false, "hecke_orbit": 1, "analytic_conductor": 4.591398116223622, "inner_twist_count": 1, "field_disc_factorization": [], "is_rm": false, "char_order": 1, "level_is_square": false, "weight_parity": 1, "label": "575.2.a.a", "field_poly_is_real_cyclotomic": false, "is_self_twist": false, "is_twist_minimal": false, "minimal_twist": "115.2.b.a", "field_poly_is_cyclotomic": false, "dim": 1, "trace_zratio": {"__RealLiteral__": 0, "data": "0.016", "prec": 17}, "traces": [0, 1, -2, -2, 2, 0, 4, -1, 0, 1, 0, 0, -4, -2, 2, 0, -4, 5, -2, 8, 0, 2, 0, 1, 0, 0, 4, 4, -2, -5, 0, -5, 8, 0, -10, 0, 2, -7, -16, 4, 0, -7, -4, -4, 0, 0, -2, 2, 8, -6, 0, -10, -4, 1, -8, 0, 0, -16, 10, 3, 0, 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-24, 0, 43, 0, -14, 24, 18, 32, 0, 38, -16, 10, 0, 0, 26, 0, -14, -16, 0, 32, -8, 56, 58, 0, 54, 12, 20, -20, 0, -48, -42, 0, -20, 0, 0, 28, 16, 0, 0, 0, 4, -30, 25, 0, 5, 0, -8, 0, 0, 32, -9, 0, 15, 0, -12, 64, 0, 2, 0, 8, 0, -40, 4, 0, 28, 36, -26, 0, 0, -8, 0, -40, 35, 0, -48, -12, -8, -54, 0, 0, -54, -26, 42, 0, 2, 12, -7, -12, 0, 0, -14, 56, 16, 0, -48, 0, -54, -2, 0, -2, 0, 56, 6, 0, -6, -28, -9, 12, 0, -4, 18, 0, -80, 0, -6, 20, -9, -64, 0, 24, 39, -96, 0, 0, 18, 62, -21, 0, 0, 50, 4, -32, -4, 0, 19, -40, 10, 26, 0, -12, -20, 22, -28, 0], "hecke_ring_index_factorization": [], "nf_label": "1.1.1.1", "field_poly": [0, 1], "atkin_lehner_string": "--", "has_non_self_twist": 0, "atkin_lehner_eigenvals": [[5, -1], [23, -1]], "char_values": [575, 1, [277, 51], [1, 1]], "Nk2": 2300, "field_poly_root_of_unity": 0, "analytic_rank": 1, "char_orbit_label": "a", "weight": 2, "trace_display": [-2, -2, 0, -1], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": false, "hecke_ring_index": 1, "level_is_prime": false, "char_is_minimal": true, "qexp_display": "q-2q^{2}-2q^{3}+2q^{4}+4q^{6}-q^{7}+\\cdots", "self_twist_discs": [], "char_is_real": true, "field_disc": 1, "level_is_prime_power": false, "relative_dim": 1, "hecke_cutters": [[2, [2, 1]], [3, [2, 1]]], "space_label": "575.2.a", "level": 575, "is_self_dual": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_degree": 1, "char_conductor": 1, "char_orbit_index": 1, "hecke_ring_generator_nbound": 1, "hecke_orbit_code": 33555007, "fricke_eigenval": 1, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.959", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.886", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.744", "prec": 17}], "id": null, "projective_field": null, "embedded_related_objects": null, "projective_image_type": null, "artin_image": null, "artin_field": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "artin_degree": null, "qexp": [[0], [1], [-2], [-2], [2], [0], [4], [-1], [0], [1], [0], [0], [-4], [-2], [2], [0], [-4], [5], [-2], [8], [0], [2], [0], [1], [0], [0], [4], [4], [-2], [-5], [0], [-5], [8], [0], [-10], [0], [2], [-7], [-16], [4], [0], [-7], [-4], [-4], [0], [0], [-2], [2], [8], [-6], [0], [-10], [-4], [1], [-8], [0], [0], [-16], [10], [3], [0], [-6], [10], [-1], [-8], [0], [0], [-13], [10], [-2], [0], [13], [0], [-8], [14], [0], [16], [0], [-8], [-14], [0], [-11], [14], [3], [4], [0], [8], [10], [0], [-14], [0], [2], [2], [10], [-4], [0], [-16], [-14], [12], [0], [0]]}