# Stored data for newform 462.2.a.g, downloaded from the LMFDB on 11 October 2024.
{"Nk2": 1848, "analytic_conductor": 3.6890885733831538, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, 1], [11, -1]], "atkin_lehner_string": "--+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [462, 1, [155, 199, 211], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[5, [-2, 1]], [13, [2, 1]]], "hecke_orbit": 7, "hecke_orbit_code": 27021597797777870, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "462.2.a.g", "level": 462, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [2, 3, 7, 11], "level_radical": 462, "minimal_twist": "462.2.a.g", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\\cdots", "related_objects": ["EllipticCurve/Q/462/g"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "462.2.a", "trace_display": [1, 1, 2, -1], "trace_hash": 661039448796501051, "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "1.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.052", "prec": 17}, {"__RealLiteral__": 0, "data": "2.033", "prec": 17}, {"__RealLiteral__": 0, "data": "0.202", "prec": 17}, {"__RealLiteral__": 0, "data": "5.122", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, "traces": [0, 1, 1, 1, 1, 2, 1, -1, 1, 1, 2, 1, 1, -2, -1, 2, 1, -2, 1, 0, 2, -1, 1, 0, 1, -1, -2, 1, -1, -2, 2, 4, 1, 1, -2, -2, 1, -2, 0, -2, 2, -10, -1, 4, 1, 2, 0, 4, 1, 1, -1, -2, -2, -2, 1, 2, -1, 0, -2, -12, 2, -2, 4, -1, 1, -4, 1, 12, -2, 0, -2, 8, 1, 6, -2, -1, 0, -1, -2, -8, 2, 1, -10, -8, -1, -4, 4, -2, 1, -14, 2, 2, 0, 4, 4, 0, 1, -14, 1, 1, -1, -10, -2, 4, -2, -2, -2, -12, 1, 14, 2, -2, -1, 18, 0, 0, -2, -2, -12, 2, 2, 1, -2, -10, 4, -12, -1, 8, 1, 4, -4, 0, 1, 0, 12, 2, -2, 10, 0, 0, -2, 4, 8, -2, 1, -4, 6, 1, -2, -10, -1, 8, 0, -2, -1, 8, -2, 18, -8, -2, 2, 0, 1, 4, -10, 2, -8, 0, -1, -9, -4, 0, 4, 6, -2, 1, 1, -12, -14, 12, 2, 2, 2, -2, 0, -4, 4, -2, 4, -1, 0, -8, 1, 2, -14, -4, 1, 6, 1, 20, -1, 12, -10, 2, -2, -20, 4, 0, -2, 0, -2, 12, -2, 8, 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