# Stored data for newform 3675.2.a.bm, downloaded from the LMFDB on 28 March 2024. {"label": "3675.2.a.bm", "space_label": "3675.2.a", "level": 3675, "weight": 2, "hecke_orbit": 39, "hecke_orbit_code": 171136785873636955, "dim": 4, "is_polredabs": true, "nf_label": "4.4.2624.1", "trace_hash": 851827991688272610, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1, -6, -3, 2, 1]], [11, [7, -8, -8, 4, 1]], [13, [4, 16, -14, 0, 1]]], "qexp_display": "q+(-1+\\beta _{1})q^{2}-q^{3}+\\beta _{2}q^{4}+(1-\\beta _{1}+\\cdots)q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 14700, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 29.34502274282054, "hecke_ring_index": 1, "level_radical": 105, "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": "0.023", "prec": 17}, "analytic_rank_proved": true, "char_values": [3675, 1, [1226, 1177, 2551], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "conrey_indexes": [1], "field_disc": 2624, "field_disc_factorization": [[2, 6], [41, 1]], "field_poly": [1, 2, -3, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "3.800", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "37.452", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "574.142", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [7, 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