# Stored data for newform 462.2.a.e, downloaded from the LMFDB on 10 December 2024.
{"Nk2": 1848, "analytic_conductor": 3.6890885733831538, "analytic_rank": 1, "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, [4, 1]], [13, [6, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014398543036878, "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.e", "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.e", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}+q^{7}+\\cdots", "related_objects": ["EllipticCurve/Q/462/e"], "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, -4, 1], "trace_hash": 1734542168263096860, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.959", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.841", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, "traces": [0, 1, 1, -1, 1, -4, -1, 1, 1, 1, -4, -1, -1, -6, 1, 4, 1, -4, 1, -2, -4, -1, -1, -8, -1, 11, -6, -1, 1, -6, 4, 6, 1, 1, -4, -4, 1, -6, -2, 6, -4, 12, -1, 4, -1, -4, -8, 6, -1, 1, 11, 4, -6, 2, -1, 4, 1, 2, -6, 0, 4, 10, 6, 1, 1, 24, 1, 4, -4, 8, -4, -12, 1, 0, -6, -11, -2, -1, 6, -16, -4, 1, 12, -14, -1, 16, 4, 6, -1, -14, -4, -6, -8, -6, 6, 8, -1, -14, 1, -1, 11, 14, 4, -6, -6, 4, 2, -8, -1, 6, 4, 6, 1, 14, 2, 32, -6, -6, 0, -4, 4, 1, 10, -12, 6, -24, 1, 0, 1, -4, 24, -2, 1, -2, 4, 4, -4, 14, 8, 2, -4, -6, -12, 6, 1, 24, 0, -1, -6, -10, -11, -8, -2, -4, -1, -24, 6, -4, -16, -2, -4, -8, 1, 4, 12, -4, -14, -12, -1, 23, 16, -2, 4, 2, 6, 11, -1, 0, -14, -4, -4, -8, -6, -10, -8, 24, -6, 4, 6, -1, 8, 0, -1, -14, -14, -24, 1, 10, -1, 2, 11, -4, 14, -6, 4, 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