# Stored data for newform 335.1.d.b, downloaded from the LMFDB on 13 June 2024.
{"Nk2": 335, "analytic_conductor": 0.1671867792320558, "analytic_rank": 0, "analytic_rank_proved": true, "artin_degree": 12, "artin_field": [-1, -4, 5, -3, 4, -3, 1], "artin_field_label": "6.2.561125.1", "artin_image": "12.4", "char_conductor": 335, "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": [335, 2, [202, 136], [1, 1]], "cm_discs": [-335], "conrey_index": 334, "dim": 1, "embedded_related_objects": [["ArtinRepresentation/2.5_67.6t3.1c1"]], "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": 4503805802578255, "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, 335, 4, -1, 2, -335]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": true, "is_twist_minimal": true, "label": "335.1.d.b", "level": 335, "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": [5, 67], "level_radical": 335, "minimal_twist": "335.1.d.a", "nf_label": "1.1.1.1", "prim_orbit_index": 4, "projective_field": [1, 4, -1, 1], "projective_field_label": "3.1.335.1", "projective_image": "D3", "projective_image_type": "Dn", "qexp_display": "q+q^{2}+q^{3}-q^{5}+q^{6}+q^{7}-q^{8}+\\cdots", "related_objects": ["ArtinRepresentation/2.5_67.6t3.1"], "relative_dim": 1, "rm_discs": [], "self_twist_discs": [-335], "self_twist_type": 1, "space_label": "335.1.d", "trace_display": [1, 1, -1, 1], "trace_hash": 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