# Stored data for newform 1849.2.a.d, downloaded from the LMFDB on 24 April 2024.
{"label": "1849.2.a.d", "space_label": "1849.2.a", "level": 1849, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915667769, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 16003697365932457, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, 1]]], "qexp_display": "q+2q^{2}+2q^{3}+2q^{4}+4q^{5}+4q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7396, "fricke_eigenval": -1, "atkin_lehner_string": "-", "analytic_conductor": 14.764339333734743, "hecke_ring_index": 1, "level_radical": 43, "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": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.013", "prec": 17}, "analytic_rank_proved": true, "char_values": [1849, 1, [3], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [43], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.026", "prec": 17}, {"__RealLiteral__": 0, "data": "0.982", "prec": 17}, {"__RealLiteral__": 0, "data": "0.020", "prec": 17}, {"__RealLiteral__": 0, "data": "1.915", "prec": 17}, {"__RealLiteral__": 0, "data": "0.019", "prec": 17}, {"__RealLiteral__": 0, "data": "4.669", "prec": 17}], "related_objects": ["EllipticCurve/Q/1849/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[43, -1]], "trace_display": [2, 2, 4, 0], "traces": [0, 1, 2, 2, 2, 4, 4, 0, 0, 1, 8, 3, 4, -5, 0, 8, -4, -3, 2, 2, 8, 0, 6, -1, 0, 11, -10, -4, 0, 6, 16, -1, -8, 6, -6, 0, 2, 0, 4, -10, 0, 5, 0, 0, 6, 4, -2, 4, -8, -7, 22, -6, -10, -5, -8, 12, 0, 4, 12, 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