# Stored data for newform 6025.2.a.e, downloaded from the LMFDB on 25 April 2024. {"label": "6025.2.a.e", "space_label": "6025.2.a", "level": 6025, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014398543042441, "dim": 5, "is_polredabs": true, "nf_label": "5.5.38569.1", "trace_hash": 472281574417705118, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1, 5, -6, -1, 1]], [3, [-17, -9, 17, 2, -5, 1]]], "qexp_display": "q+(\\beta _{1}+\\beta _{3})q^{2}+(1-\\beta _{1}-\\beta _{3}-\\beta _{4})q^{3}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 24100, "fricke_eigenval": -1, "atkin_lehner_string": "+-", "analytic_conductor": 48.10986721782143, "hecke_ring_index": 1, "level_radical": 1205, "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": "0.008", "prec": 17}, "analytic_rank_proved": true, "char_values": [6025, 1, [2652, 2176], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 241], "conrey_indexes": [1], "field_disc": 38569, "field_disc_factorization": [[38569, 1]], "field_poly": [-1, 4, 0, -5, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.040", "prec": 17}, {"__RealLiteral__": 0, "data": "4.782", "prec": 17}, {"__RealLiteral__": 0, "data": "0.018", "prec": 17}, {"__RealLiteral__": 0, "data": "60.285", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1126.829", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, 1], [241, -1]], "trace_display": [1, 5, 0, 10], 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