# Stored data for newform 384.4.k.b, downloaded from the LMFDB on 06 June 2024.
{"Nk2": 6144, "analytic_conductor": 22.656733442204395, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 48, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 4, "char_parity": 1, "char_values": [384, 4, [127, 133, 257], [2, 3, 2]], "cm_discs": [], "conrey_index": 95, "dim": 44, "has_non_self_twist": 1, "hecke_orbit": 2, "hecke_orbit_code": 4504286889247104, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 16, 6, -1, 4, 0], [1, 1, 48, 11, 1, 4, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "384.4.k.b", "level": 384, "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], "level_radical": 6, "minimal_twist": "48.4.k.a", "prim_orbit_index": 11, "related_objects": [], "relative_dim": 22, "rm_discs": [], "sato_tate_group": "3.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "384.4.k", "trace_display": [0, 2, 0, -8], "traces": [44, 0, 2, 0, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -20, 0, 56, 0, 0, 0, 0, 0, 134, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 596, 0, 0, 0, 436, 0, 252, 0, 0, 0, 972, 0, 648, 0, 0, 0, 280, 0, 0, 0, 0, 0, 916, 0, 0, 0, 0, 0, 1636, 0, -52, 0, 0, 0, 0, 0, -1454, 0, 0, 0, 0, 0, -4, 0, 0, 0, -736, 0, 1284, 0, 0, 0, -424, 0, 2084, 0, 0, 0, -8, 0, -1196, 0, 0, 0, 1864, 0, 0, 0, 0, 0, -1388, 0, 0, 0, 0, 0, -1384, 0, -1048, 0, 0, 0, 0, 0, 1012, 0, 0, 0, 0, 0, -2004, 0, 0, 0, 1376, 0, -5684, 0, 0, 0, 2716, 0, -1264, 0, 0, 0, -8, 0, 922, 0, 0, 0, -9752, 0, 0, 0, 0, 0, -4892, 0, 0, 0, 0, 0, -1700, 0, 2468, 0, 0, 0, 0, 0, -1864, 0, 0, 0, 0, 0, 300, 0, 0, 0, 2260, 0, 10468, 0, 0, 0, -5680, 0, -6712, 0, 0, 0, -6056, 0, -7444, 0, 0, 0, 8632, 0, 0, 0, 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-131932, 0, 0, 0, 0, 0, 365484, 0, -9316, 0, 0, 0, 0, 0, -333096, 0, 0, 0, 0, 0, 448, 0, 0, 0, -157248, 0, 525956, 0, 0, 0, -417984, 0, -148340, 0, 0, 0, -49468, 0, -361244, 0, 0, 0, 488680, 0, 0, 0, 0, 0, -73360, 0, 0, 0, 0, 0, -281400, 0, -162840, 0, 0, 0, 0, 0, 376448, 0, 0, 0, 0, 0, 15644, 0, 0, 0, 6244, 0, -561508, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "field_poly_is_cyclotomic": null, "field_poly_is_real_cyclotomic": null, "field_poly_root_of_unity": null, "fricke_eigenval": null, "hecke_cutters": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "is_polredabs": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp_display": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null}