# Stored data for newform 165.2.p.b, downloaded from the LMFDB on 19 April 2024. {"label": "165.2.p.b", "space_label": "165.2.p", "level": 165, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4504630453076133, "dim": 48, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 0, 83, 0, 3517, 0, 88347, 0, 5645607, 0, 58363394, 0, 278960646, 0, 618900687, 0, 759453086, 0, 587584608, 0, 722955636, 0, 378135987, 0, 202052676, 0, 90389640, 0, 37430152, 0, 11203135, 0, 3808882, 0, 962802, 0, 222474, 0, 45065, 0, 8563, 0, 1083, 0, 135, 0, 14, 0, 1]]], "char_order": 10, "char_parity": 1, "char_degree": 4, "char_conductor": 33, "char_orbit_label": "p", "char_is_real": false, "Nk2": 660, "analytic_conductor": 1.3175316333511264, "level_radical": 165, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [165, 10, [56, 67, 46], [5, 10, 3]], "inner_twist_count": 4, "level_primes": [3, 5, 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0, 0, 300, 0, 40, 82, 0, 460, 330, 0, -140, 110, 0, -170, 4, 0, -154, 698, 0, 110, -70, 0, 162, 0, 0, -120, 360, 0, -182, -186, 0, 150, -180, 0, 0, 18, 0, 570, -132, 0, -406, 240, 0, -70, -150, 0, 48, -268, 0, -154, 10, 0, 400, -300, 0, -20, 0, 0, -228, -30, 0, -60, -486, 0, -10, -270, 0, 0, -256, 0, -320, -192, 0, -68, -130, 0, -350, -750, 0, -152, -236, 0, -276, 18, 0, -320, -100, 0, -124, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 11, 4, -1, 10, 0], [1, 1, 33, 6, 1, 10, 0]], "char_orbit_index": 16, "prim_orbit_index": 6, "minimal_twist": "165.2.p.b", "char_is_minimal": true, "conrey_index": 41, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}