# Stored data for newform 6003.2.a.j, downloaded from the LMFDB on 23 April 2024.
{"label": "6003.2.a.j", "space_label": "6003.2.a", "level": 6003, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532396679894899, "dim": 7, "is_polredabs": true, "trace_hash": 1263229956579241000, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [8, 1, -26, 4, 18, -5, -3, 1]], [5, [8, 6, -29, -5, 30, -9, -3, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2})q^{4}+\\beta _{4}q^{5}+(-1+\\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": 24012, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 47.934196333374615, "hecke_ring_index": 1, "level_radical": 2001, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [6003, 1, [668, 3133, 4555], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 23, 29], "conrey_indexes": [1], "field_disc": 913943329, "field_disc_factorization": [[13, 1], [2083, 1], [33751, 1]], "field_poly": [8, 1, -26, 4, 18, -5, -3, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.290", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "111.328", "prec": 24}, {"__RealLiteral__": 0, "data": "1.624", "prec": 17}, {"__RealLiteral__": 0, "data": "3060.161", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 7, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [23, 1], [29, -1]], "trace_display": [3, 0, 3, -5], "traces": [0, 7, 3, 0, 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