# Stored data for newform 273.2.bf.a, downloaded from the LMFDB on 20 April 2024. {"label": "273.2.bf.a", "space_label": "273.2.bf", "level": 273, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 2130337333521, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1133580347119620253, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [0, 1]]], "qexp_display": "q+(1-2\\zeta_{6})q^{3}-2\\zeta_{6}q^{4}+(-2-\\zeta_{6})q^{7}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 273, "char_orbit_label": "bf", "char_is_real": false, "Nk2": 1092, "analytic_conductor": 2.1799159751809545, "hecke_ring_index": 1, "level_radical": 273, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 1, "is_self_dual": false, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.590", "prec": 17}, "analytic_rank_proved": true, "char_values": [273, 6, [92, 157, 106], [3, 5, 4]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 4, "level_primes": [3, 7, 13], "conrey_indexes": [152, 185], "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.965", "prec": 17}, {"__RealLiteral__": 0, "data": "0.082", "prec": 17}, {"__RealLiteral__": 0, "data": "17.552", "prec": 20}, {"__RealLiteral__": 0, "data": "1.299", "prec": 17}, {"__RealLiteral__": 0, "data": "193.838", "prec": 24}], "related_objects": ["EllipticCurve/2.0.3.1/8281.9/CMe", "EllipticCurve/2.0.3.1/8281.1/CMe"], "self_twist_discs": [-3], "cm_discs": [-3], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.1.d6", "trace_display": [0, 0, 0, -5], "traces": [0, 2, 0, 0, -2, 0, 0, -5, 0, -6, 0, 0, -6, 2, 0, 0, -4, 0, 0, 0, 0, -3, 0, 0, 0, 5, 0, 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0, -55, 0, -18, 0, 0, 0, 75, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, -78, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 96, 0, 0, 82, 0, 0, 0, 0, -54, 78, 0, 15, -108, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, -90, 0, 0, 122, 0, 0, 0, 0, 0, 108, 0, 99, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 91, 13, -1, 6, 0], [1, 1, 273, 32, 1, 6, 0]], "char_orbit_index": 32, "prim_orbit_index": 32, "minimal_twist": "273.2.r.a", "char_is_minimal": true, "conrey_index": 152, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, 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