# Stored data for newform 247.1.d.b, downloaded from the LMFDB on 23 May 2024.
{"Nk2": 247, "analytic_conductor": 0.12326905812035159, "analytic_rank": 0, "analytic_rank_proved": true, "artin_degree": 12, "artin_field": [-1, -4, 7, -7, 6, -3, 1], "artin_field_label": "6.2.793117.1", "artin_image": "12.4", "char_conductor": 247, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": -1, "char_values": [247, 2, [210, 40], [1, 1]], "cm_discs": [-247], "conrey_index": 246, "dim": 1, "embedded_related_objects": [["ArtinRepresentation/2.13_19.6t3.2c1"]], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 0, "hecke_cutters": [[2, [-1, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503805802578167, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 247, 4, -1, 2, -247]], "is_cm": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": true, "is_twist_minimal": true, "label": "247.1.d.b", "level": 247, "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": true, "level_primes": [13, 19], "level_radical": 247, "minimal_twist": "247.1.d.a", "nf_label": "1.1.1.1", "prim_orbit_index": 4, "projective_field": [-3, 1, 0, 1], "projective_field_label": "3.1.247.1", "projective_image": "D3", "projective_image_type": "Dn", "qexp_display": "q+q^{2}-q^{8}+q^{9}-q^{13}-q^{16}-q^{17}+\\cdots", "related_objects": ["ArtinRepresentation/2.13_19.6t3.2"], "relative_dim": 1, "rm_discs": [], "self_twist_discs": [-247], "self_twist_type": 1, "space_label": "247.1.d", "trace_display": [1, 0, 0, 0], "trace_hash": 1795551919701837413, "trace_moments": 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