# Stored data for newform 2415.2.a.q, downloaded from the LMFDB on 29 March 2024. {"label": "2415.2.a.q", "space_label": "2415.2.a", "level": 2415, "weight": 2, "hecke_orbit": 17, "hecke_orbit_code": 72057594071484783, "dim": 6, "is_polredabs": true, "nf_label": "6.6.15751800.1", "trace_hash": 1175748942765617154, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [3, -9, 0, 14, -4, -3, 1]], [11, [270, -360, -45, 118, -15, -6, 1]], [13, [698, 1276, 183, -174, -31, 6, 1]]], "qexp_display": "q+\\beta _{2}q^{2}-q^{3}+(\\beta _{2}+\\beta _{5})q^{4}-q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9660, "fricke_eigenval": -1, "atkin_lehner_string": "++-+", "analytic_conductor": 19.283872088139212, "hecke_ring_index": 1, "level_radical": 2415, "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": "0.005", "prec": 17}, "analytic_rank_proved": true, "char_values": [2415, 1, [806, 967, 346, 1891], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7, 23], "conrey_indexes": [1], "field_disc": 15751800, "field_disc_factorization": [[2, 3], [3, 3], [5, 2], [2917, 1]], "field_poly": [-1, -7, 16, 6, -8, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.061", "prec": 17}, {"__RealLiteral__": 0, "data": "5.517", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "88.746", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2362.493", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": 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