# Stored data for newform 102.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "102.2.a.b", "space_label": "102.2.a", "level": 102, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660925030, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1834044102859205000, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [0, 1]]], "qexp_display": "q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{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": 408, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 0.8144741006170599, "hecke_ring_index": 1, "level_radical": 102, "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": "0.019", "prec": 17}, "analytic_rank_proved": true, "char_values": [102, 1, [35, 37], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 17], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.013", "prec": 17}, {"__RealLiteral__": 0, "data": "0.983", "prec": 17}, {"__RealLiteral__": 0, "data": "0.052", "prec": 17}, {"__RealLiteral__": 0, "data": "1.929", "prec": 17}, {"__RealLiteral__": 0, "data": "0.181", "prec": 17}, {"__RealLiteral__": 0, "data": "4.751", "prec": 17}], "related_objects": ["EllipticCurve/Q/102/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], [17, 1]], "trace_display": [-1, 1, 0, 2], "traces": [0, 1, -1, 1, 1, 0, -1, 2, -1, 1, 0, 0, 1, 2, -2, 0, 1, -1, -1, -4, 0, 2, 0, -6, -1, -5, -2, 1, 2, 0, 0, -10, -1, 0, 1, 0, 1, 8, 4, 2, 0, 6, -2, -4, 0, 0, 6, 12, 1, -3, 5, -1, 2, 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30, 48, -1, 0, -14, 1, -20, 0, 0, -8, -20, 14, -24, 0, 2, -4, -26, 18, 0, -54, 3, 20, -2, 0, 36, -18, -8, 16, 0, 0, -28, -48, 6, 0, -2, -12, -6, 0, -5, -6, 0, -8, 6, 0, -8, -40, 12, 6, 0, 6, -4, 0, 10, 0, 14, 0, 1, -16, 0, 20, -30, 12, 0, -40, -20, -4, 0, -18, 0, 12, -30, 18, -12, 0, -2, -10, 8, 14, 0, 12, 10, -36, -12, 0, 0, 24, -10, 4, -20, 12, 2, 54, -6, 0, -12, 0, -6, -12, 0, 69, -16, 0, -10, 0, 12, -4, 11, 4, 0, 12, 1, 16, 10, -10, 8, -30, -20, 0, 0, 20, 36, 6, -6, 0, 0, 24, -8, 24, 0, 2, 10, 20, -12, 0, 12, 8, -32, 8, 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": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "102.2.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], [2], [-1], [1], [0], [0], [1], [2], [-2], [0], [1], [-1], [-1], [-4], [0], [2], [0], [-6], [-1], [-5], [-2], [1], [2], [0], [0], [-10], [-1], [0], [1], [0], [1], [8], [4], [2], [0], [6], [-2], [-4], [0], [0], [6], [12], [1], [-3], [5], [-1], [2], [6], [-1], [0], [-2], [-4], [0], [-12], [0], [8], [10], [2], [1], [0], [0], [-4], [-1], [-6], [0], [6], [-1], [2], [-8], [-5], [-4], [0], [-2], [-10], [0], [1], [-6], [12], [2], [0], [4], [0], [0], [-18], [0], [4], [-6], [-10], [-12], [0], [-1], [14], [3], [0], [-5]]}