# Stored data for newform 189.2.ba.a, downloaded from the LMFDB on 16 April 2024. {"label": "189.2.ba.a", "space_label": "189.2.ba", "level": 189, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1786739949757, "dim": 132, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 18, "char_parity": 1, "char_degree": 6, "char_conductor": 189, "char_orbit_label": "ba", "char_is_real": false, "Nk2": 756, "analytic_conductor": 1.5091725982021993, "level_radical": 21, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [189, 18, [29, 136], [5, 15]], "inner_twist_count": 2, "level_primes": [3, 7], "conrey_indexes": [5, 38, 68, 101, 131, 164], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 22, "sato_tate_group": "1.2.3.c18", "trace_display": [-3, -9, -9, -6], "traces": [132, -3, -9, -3, -9, -18, -6, -18, 3, 0, -9, -9, 0, 3, -24, 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"level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 189, 27, 1, 18, 0]], "char_orbit_index": 27, "prim_orbit_index": 27, "minimal_twist": "189.2.ba.a", "char_is_minimal": true, "conrey_index": 5, "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}