# Stored data for newform 950.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "950.2.a.b", "space_label": "950.2.a", "level": 950, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925878, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1061223908540289351, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-1, 1]], [7, [3, 1]], [11, [-2, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3800, "fricke_eigenval": 1, "atkin_lehner_string": "+++", "analytic_conductor": 7.585788192021637, "hecke_ring_index": 1, "level_radical": 190, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [950, 1, [77, 401], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.975", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.910", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.671", "prec": 17}], "related_objects": ["EllipticCurve/Q/950/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1], [19, 1]], "trace_display": [-1, 1, 0, -3], "traces": [0, 1, -1, 1, 1, 0, -1, -3, -1, -2, 0, 2, 1, 1, 3, 0, 1, -3, 2, -1, 0, -3, -2, 1, -1, 0, -1, -5, -3, -5, 0, -8, -1, 2, 3, 0, -2, 2, 1, 1, 0, -8, 3, 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-54, 5, 0, 14, -8, 24, -20, 0, -3, 15, -4, 1, 0, -9, -13, -20, -9, 0, -18, 4, -34, -3, 0, -26, 2, -2, 54, 0, 2, -14, 8, 0, 0, 3, 1, -10, 40, 0, -3, 16, 12, 14, 0, -2, -53, 17, -4, 0, 12, -1, 12, -7, 0, -10, -36, -15, 5, 0, 12, 28, 2, -6, 0, 4, -12, 5, -55, 0, -2, 6, 7, -2, 0, 2, 7, -9, -29, 0, 7, -2, -8, 15, 0, 8, 12, -10, -9, 0, 27, -9, 46, 2, 0, 15, -10, 20, -51, 0, 33, -2, -14, -8, 0, 3, -48, 7, 3, 0, -28, 16, 0, -2, 0, 2, -8, -16, 0, 0, 30, 28, 6, 8, 0, -15, 24, -1, -4, 0, -8, 8, 17, 6, 0, 6, -28, -40, -10, 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": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "38.2.a.b", "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], [-3], [-1], [-2], [0], [2], [1], [1], [3], [0], [1], [-3], [2], [-1], [0], [-3], [-2], [1], [-1], [0], [-1], [-5], [-3], [-5], [0], [-8], [-1], [2], [3], [0], [-2], [2], [1], [1], [0], [-8], [3], [-4], [2], [0], [-1], [-8], [1], [2], [0], [-3], [1], [1], [5], [0], [3], [-1], [5], [15], [0], [2], [8], [6], [1], [0], [-2], [-3], [-3], [1], [0], [2], [2], [-9], [-2], [0], [-1], [-6], [-1], [-10], [0], [1], [8], [6], [-3], [0], [4], [-5], [-2], [0], [0], [-3], [1], [-8], [8], [0], [-1], [2], [-2], [-4], [0]]}