# Stored data for newform 1875.2.a.k, downloaded from the LMFDB on 25 April 2024. {"label": "1875.2.a.k", "space_label": "1875.2.a", "level": 1875, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307261267, "dim": 6, "is_polredabs": true, "nf_label": "6.6.44400625.1", "trace_hash": 1585335586687046377, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 3, 29, -1, -11, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+q^{3}+(1-\\beta _{3}+\\beta _{4})q^{4}+\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7500, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 14.971950378990073, "hecke_ring_index": 1, "level_radical": 15, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [1875, 1, [626, 1252], [1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [3, 5], "conrey_indexes": [1], "field_disc": 44400625, "field_disc_factorization": [[5, 4], [19, 1], [3739, 1]], "field_poly": [-1, 3, 29, -1, -11, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.050", "prec": 17}, {"__RealLiteral__": 0, "data": "5.435", "prec": 17}, {"__RealLiteral__": 0, "data": "0.819", "prec": 17}, {"__RealLiteral__": 0, "data": "80.878", "prec": 20}, {"__RealLiteral__": 0, "data": "39.447", "prec": 20}, {"__RealLiteral__": 0, "data": "1928.820", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, 1]], "trace_display": [0, 6, 0, 6], 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