# Stored data for newform 3330.2.a.bc, downloaded from the LMFDB on 25 April 2024.
{"label": "3330.2.a.bc", "space_label": "3330.2.a", "level": 3330, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599931650, "dim": 2, "is_polredabs": true, "nf_label": "2.2.17.1", "trace_hash": 1641194586638293043, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [1, 1]], [11, [-13, -4, 1]], [13, [-38, 1, 1]], [17, [-5, 1]]], "qexp_display": "q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 13320, "fricke_eigenval": -1, "atkin_lehner_string": "+---", "analytic_conductor": 26.590183873086367, "hecke_ring_index": 1, "level_radical": 1110, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [3330, 1, [371, 667, 631], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5, 37], "conrey_indexes": [1], "field_disc": 17, "field_disc_factorization": [[17, 1]], "field_poly": [-4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.988", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.166", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "72.981", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [37, -1]], "trace_display": [-2, 0, 2, -2], "traces": [0, 2, -2, 0, 2, 2, 0, -2, -2, 0, -2, 4, 0, -1, 2, 0, 2, 10, 0, -3, 2, 0, -4, 9, 0, 2, 1, 0, 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