# Stored data for newform 6370.2.a.z, downloaded from the LMFDB on 03 February 2026.
{"Nk2": 25480, "analytic_conductor": 50.864706087555604, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, -1], [7, -1], [13, 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": [6370, 1, [5097, 5981, 1471], [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": [[3, [-2, 1]], [11, [0, 1]], [17, [0, 1]], [23, [-6, 1]]], "hecke_orbit": 26, "hecke_orbit_code": 112589990717823202, "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": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "6370.2.a.z", "level": 6370, "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": false, "level_primes": [2, 5, 7, 13], "level_radical": 910, "minimal_twist": "910.2.a.g", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\\cdots", "related_objects": ["EllipticCurve/Q/6370/z"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "6370.2.a", "trace_display": [1, 2, 1, 0], "trace_hash": 750714910037292131, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.024", "prec": 17}, {"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "2.066", "prec": 17}, {"__RealLiteral__": 0, "data": "0.091", "prec": 17}, {"__RealLiteral__": 0, "data": "5.174", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.021", "prec": 17}, "traces": [0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, -1, 0, 2, 1, 0, 1, -2, 1, 0, 0, 6, 2, 1, -1, -4, 0, 6, 2, 4, 1, 0, 0, 0, 1, 2, -2, -2, 1, 0, 0, 8, 0, 1, 6, 0, 2, 0, 1, 0, -1, 12, -4, 0, 0, -4, 6, -6, 2, 10, 4, 0, 1, -1, 0, -4, 0, 12, 0, 6, 1, -2, 2, 2, -2, 0, -2, 8, 1, -11, 0, -12, 0, 0, 8, 12, 0, 0, 1, 0, 6, 8, 0, -2, 2, 10, 0, 0, 1, 18, 0, 4, -1, 0, 12, 0, -4, -16, 0, 4, 0, -6, -4, 6, 6, -1, -6, 0, 2, -11, 10, 0, 4, 1, 0, 2, 1, 16, -1, -12, 0, 0, -4, -4, 0, -6, 12, 4, 0, 0, 6, 0, 1, 6, -2, 0, 2, 0, 2, -10, -2, 0, 0, 4, -2, -14, 8, 24, 1, 0, -11, 20, 0, 0, -12, 0, 0, 1, 0, -2, 8, -6, 12, 0, 0, -12, 0, -12, 1, -2, 0, 20, 6, 2, 8, 0, 0, 0, -2, -12, 2, -22, 10, -2, 0, -6, 0, 16, 1, -8, 18, 0, 0, 0, 4, 6, -1, 0, 0, -4, 12, 12, 0, 8, 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