# Stored data for newform 5175.2.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "5175.2.a.a", "space_label": "5175.2.a", "level": 5175, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33559607, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 221566420889786501, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [2, 1]], [7, [-1, 1]], [11, [0, 1]]], "qexp_display": "q-2q^{2}+2q^{4}+q^{7}+2q^{13}-2q^{14}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 20700, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 41.322583046012596, "hecke_ring_index": 1, "level_radical": 345, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [5175, 1, [4601, 3727, 2926], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 23], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.958", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.884", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.741", "prec": 17}], "related_objects": ["EllipticCurve/Q/5175/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1], [23, -1]], "trace_display": [-2, 0, 0, 1], "traces": [0, 1, -2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, -2, 0, -4, 5, 0, 8, 0, 0, 0, 1, 0, 0, -4, 0, 2, 5, 0, -5, 8, 0, -10, 0, 0, 7, -16, 0, 0, 7, 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