# Stored data for newform 1728.4.a.bi, downloaded from the LMFDB on 19 April 2024.
{"label": "1728.4.a.bi", "space_label": "1728.4.a", "level": 1728, "weight": 4, "hecke_orbit": 35, "hecke_orbit_code": 153122387397707456, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 2079006662938451987, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-176, 4, 1]], [7, [-711, 6, 1]], [11, [-944, 52, 1]]], "qexp_display": "q+(-2-\\beta )q^{5}+(-3+2\\beta )q^{7}+(-26+\\cdots)q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 27648, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 101.95530048991978, "hecke_ring_index": 12, "level_radical": 6, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [1728, 1, [703, 325, 1217], [1, 1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [2, 3], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [[2, 2], [3, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.027", "prec": 17}, {"__RealLiteral__": 0, "data": "1.971", "prec": 17}, {"__RealLiteral__": 0, "data": "0.251", "prec": 17}, {"__RealLiteral__": 0, "data": "10.064", "prec": 20}, {"__RealLiteral__": 0, "data": "1.467", "prec": 17}, {"__RealLiteral__": 0, "data": "71.190", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, 1]], "trace_display": [0, 0, -4, -6], "traces": [0, 2, 0, 0, 0, -4, 0, -6, 0, 0, 0, -52, 0, -26, 0, 0, 0, 188, 0, 74, 0, 0, 0, 148, 0, 118, 0, 0, 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