# Stored data for newform 147.6.a.j, downloaded from the LMFDB on 01 October 2025.
{"Nk2": 5292, "analytic_conductor": 23.57642151250815, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [7, -1]], "atkin_lehner_string": "--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [147, 1, [50, 52], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 193, "field_disc_factorization": [[193, 1]], "field_poly": [-48, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-46, 3, 1]], [5, [36, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396746997907, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "147.6.a.j", "level": 147, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 7], "level_radical": 21, "minimal_twist": "147.6.a.h", "nf_label": "2.2.193.1", "prim_orbit_index": 1, "qexp_display": "q+(-1-\\beta )q^{2}+9q^{3}+(17+3\\beta )q^{4}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "5.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "147.6.a", "trace_display": [-3, 18, -72, 0], "trace_hash": 27295498563723523, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.926", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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