# Stored data for newform 1254.2.a.f, downloaded from the LMFDB on 16 June 2024.
{"Nk2": 5016, "analytic_conductor": 10.01324041346856, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, 1], [11, 1], [19, -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": [1254, 1, [419, 343, 1123], [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]], [7, [0, 1]], [13, [2, 1]], [17, [-2, 1]]], "hecke_orbit": 6, "hecke_orbit_code": 22517998170408166, "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": "1254.2.a.f", "level": 1254, "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, 11, 19], "level_radical": 1254, "minimal_twist": "1254.2.a.f", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{8}+\\cdots", "related_objects": ["EllipticCurve/Q/1254/f"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1254.2.a", "trace_display": [1, -1, -2, 0], "trace_hash": 831384274105203332, "trace_moments": [{"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "1.039", "prec": 17}, {"__RealLiteral__": 0, "data": "0.076", "prec": 17}, {"__RealLiteral__": 0, "data": "2.105", "prec": 17}, {"__RealLiteral__": 0, "data": "0.238", "prec": 17}, {"__RealLiteral__": 0, "data": "5.309", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, "traces": [0, 1, 1, -1, 1, -2, -1, 0, 1, 1, -2, -1, -1, -2, 0, 2, 1, 2, 1, 1, -2, 0, -1, -8, -1, -1, -2, -1, 0, -2, 2, -8, 1, 1, 2, 0, 1, 6, 1, 2, -2, -6, 0, -4, -1, -2, -8, 0, -1, -7, -1, -2, -2, -10, -1, 2, 0, -1, -2, -12, 2, 6, -8, 0, 1, 4, 1, 12, 2, 8, 0, 8, 1, -6, 6, 1, 1, 0, 2, 8, -2, 1, -6, -4, 0, -4, -4, 2, -1, -14, -2, 0, -8, 8, 0, -2, -1, 2, -7, -1, -1, 6, -2, 0, -2, 0, -10, -4, -1, 14, 2, -6, 0, -6, -1, 16, -2, -2, -12, 0, 2, 1, 6, 6, -8, 12, 0, -8, 1, 4, 4, -4, 1, 0, 12, 2, 2, 10, 8, -20, 0, 0, 8, 2, 1, 4, -6, 7, 6, 6, 1, 0, 1, 2, 0, 16, 2, 14, 8, 10, -2, 0, 1, 4, -6, -2, -4, 8, 0, -9, -4, 1, -4, 14, 2, 0, -1, 12, -14, -20, -2, 22, 0, -6, -8, -12, 8, -2, 0, 0, -2, 0, -1, 26, 2, -4, -7, 6, -1, 8, -1, -12, 6, 0, -2, 12, 0, -8, 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