# Stored data for newform 504.1.bn.a, downloaded from the LMFDB on 20 April 2026.
{"Nk2": 504, "analytic_conductor": 0.2515287663670332, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 504, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 40, "char_orbit_label": "bn", "char_order": 6, "char_parity": -1, "char_values": [504, 6, [127, 253, 281, 73], [6, 3, 2, 3]], "cm_discs": [-56], "conrey_index": 13, "dim": 2, "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 6, "has_non_self_twist": 1, "hecke_cutters": [[5, [1, 1, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 2680076370424, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 56, 8, -1, 2, -56], [1, 1, 9, 3, 1, 3, 0], [1, 1, 504, 40, -1, 6, 0]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": true, "is_twist_minimal": true, "label": "504.1.bn.a", "level": 504, "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": [2, 3, 7], "level_radical": 42, "minimal_twist": "504.1.bn.a", "nf_label": "2.0.3.1", "prim_orbit_index": 40, "projective_field": [-26, -3, 0, 1], "projective_field_label": "3.1.4536.1", "projective_image": "D3", "projective_image_type": "Dn", "qexp_display": "q+\\zeta_{6}^{2}q^{2}-q^{3}-\\zeta_{6}q^{4}-\\zeta_{6}q^{5}-\\zeta_{6}^{2}q^{6}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "self_twist_discs": [-56], "self_twist_type": 1, "space_label": "504.1.bn", "trace_display": [-1, -2, -1, -1], "trace_hash": 71354998520118909, "trace_moments": [{"__RealLiteral__": 0, "data": "-0.007", "prec": 20}, 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