# Stored data for newform 5070.2.b.f, downloaded from the LMFDB on 25 April 2024.
{"label": "5070.2.b.f", "space_label": "5070.2.b", "level": 5070, "weight": 2, "hecke_orbit": 6, "hecke_orbit_code": 22518066889888718, "dim": 2, "is_polredabs": true, "nf_label": "2.0.4.1", "trace_hash": 1224399788238980506, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [4, 0, 1]], [11, [16, 0, 1]], [17, [4, 1]], [31, [16, 0, 1]]], "qexp_display": "q-iq^{2}-q^{3}-q^{4}+iq^{5}+iq^{6}+2iq^{7}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 13, "char_orbit_label": "b", "char_is_real": true, "Nk2": 20280, "analytic_conductor": 40.48415382478915, "hecke_ring_index": 1, "level_radical": 390, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 4, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.516", "prec": 17}, "analytic_rank_proved": true, "char_values": [5070, 2, [1691, 4057, 1861], [2, 2, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 2, "level_primes": [2, 3, 5, 13], "conrey_indexes": [1351], "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.114", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "147.575", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c2", "trace_display": [0, -2, 0, 0], "traces": [0, 2, 0, -2, -2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 4, 0, 2, -8, 0, 0, 0, 0, -8, -4, 0, -2, 0, -2, 0, 16, -2, 0, 0, 0, 0, -4, -2, 0, -4, 0, -2, 0, -4, -8, 0, 0, 0, 0, -2, 6, 0, 8, 0, 12, 0, 8, -4, 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