# Stored data for newform 1575.4.a.bk, downloaded from the LMFDB on 15 November 2025.
{"Nk2": 25200, "analytic_conductor": 92.92800825904146, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 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": [1575, 1, [1226, 127, 451], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 112161397, "field_disc_factorization": [[112161397, 1]], "field_poly": [46, -3, -24, 0, 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, -24, 0, 1]], [11, [-304010, -61617, -2643, 21, 1]], [13, [545368, 102608, -6940, -5, 1]]], "hecke_orbit": 37, "hecke_orbit_code": 162129586652448295, "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": false, "label": "1575.4.a.bk", "level": 1575, "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, 5, 7], "level_radical": 105, "minimal_twist": "525.4.a.t", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(4+\\beta _{2})q^{4}+7q^{7}+(-2+\\cdots)q^{8}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1575.4.a", "trace_display": [0, 0, 0, 28], "trace_hash": 887976155179076834, "trace_moments": [{"__RealLiteral__": 0, "data": "0.058", "prec": 17}, {"__RealLiteral__": 0, 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