# Stored data for newform 1850.2.b.p, downloaded from the LMFDB on 25 April 2024. {"label": "1850.2.b.p", "space_label": "1850.2.b", "level": 1850, "weight": 2, "hecke_orbit": 16, "hecke_orbit_code": 67554063163590458, "dim": 6, "is_polredabs": true, "nf_label": "6.0.37161216.1", "trace_hash": 1154425644816394681, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [1, 0, 51, 0, 15, 0, 1]], [7, [36, 0, 52, 0, 20, 0, 1]], [13, [4, 0, 228, 0, 36, 0, 1]]], "qexp_display": "q-\\beta _{4}q^{2}+\\beta _{1}q^{3}-q^{4}+\\beta _{2}q^{6}+(-\\beta _{1}+\\cdots)q^{7}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "b", "char_is_real": true, "Nk2": 7400, "analytic_conductor": 14.772324373936872, "hecke_ring_index": 2, "level_radical": 370, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "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": "0.513", "prec": 17}, "analytic_rank_proved": true, "char_values": [1850, 2, [1777, 1001], [1, 2]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 2, "level_primes": [2, 5, 37], "conrey_indexes": [149], "field_disc": -37161216, "field_disc_factorization": [[-1, 1], [2, 8], [3, 2], [127, 2]], "field_poly": [1, 0, 51, 0, 15, 0, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.044", "prec": 17}, {"__RealLiteral__": 0, "data": "5.577", "prec": 17}, {"__RealLiteral__": 0, "data": "0.919", "prec": 17}, {"__RealLiteral__": 0, "data": "150.120", "prec": 24}, {"__RealLiteral__": 0, "data": "29.181", "prec": 20}, {"__RealLiteral__": 0, "data": "5898.972", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c2", "trace_display": [0, 0, 0, 0], "traces": 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