# Stored data for newform 2450.2.a.bn, downloaded from the LMFDB on 24 April 2024.
{"label": "2450.2.a.bn", "space_label": "2450.2.a", "level": 2450, "weight": 2, "hecke_orbit": 40, "hecke_orbit_code": 175640385501006226, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1803189568845503294, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [2, 4, 1]], [11, [-4, -4, 1]], [13, [-4, -4, 1]], [17, [14, 8, 1]], [19, [2, -4, 1]], [23, [8, -8, 1]], [37, [-28, -4, 1]]], "qexp_display": "q+q^{2}+(-2+\\beta )q^{3}+q^{4}+(-2+\\beta )q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9800, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 19.563348495213695, "hecke_ring_index": 1, "level_radical": 70, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": "0.024", "prec": 17}, "analytic_rank_proved": true, "char_values": [2450, 1, [1177, 101], [1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.961", "prec": 17}, {"__RealLiteral__": 0, "data": "0.148", "prec": 17}, {"__RealLiteral__": 0, "data": "9.481", "prec": 17}, {"__RealLiteral__": 0, "data": "2.551", "prec": 17}, {"__RealLiteral__": 0, "data": "64.831", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [7, 1]], "trace_display": [2, -4, 0, 0], "traces": [0, 2, 2, -4, 2, 0, -4, 0, 2, 6, 0, 4, -4, 4, 0, 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