# Stored data for newform 2475.2.a.be, downloaded from the LMFDB on 19 April 2024. {"label": "2475.2.a.be", "space_label": "2475.2.a", "level": 2475, "weight": 2, "hecke_orbit": 31, "hecke_orbit_code": 135107988854671787, "dim": 3, "is_polredabs": true, "nf_label": "3.3.148.1", "trace_hash": 965246295393391408, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [5, -1, -3, 1]], [7, [4, 16, 8, 1]], [29, [32, 0, -8, 1]]], "qexp_display": "q+(1+\\beta _{2})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+(-3+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 9900, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 19.762974500266896, "hecke_ring_index": 1, "level_radical": 165, "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": [2475, 1, [551, 2377, 2026], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 148, "field_disc_factorization": [[2, 2], [37, 1]], "field_poly": [1, -3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.049", "prec": 17}, {"__RealLiteral__": 0, "data": "2.816", "prec": 17}, {"__RealLiteral__": 0, "data": "0.534", "prec": 17}, {"__RealLiteral__": 0, "data": "21.768", "prec": 20}, {"__RealLiteral__": 0, "data": "7.657", "prec": 17}, {"__RealLiteral__": 0, "data": "248.346", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1], [11, -1]], "trace_display": [3, 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