# Stored data for newform 684.3.g.d, downloaded from the LMFDB on 25 April 2024. {"label": "684.3.g.d", "space_label": "684.3.g", "level": 684, "weight": 3, "hecke_orbit": 4, "hecke_orbit_code": 13511211249304236, "dim": 36, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-65536, 0, 23575552, 0, -1806108224, 0, 1333409216, 0, -279141136, 0, 23802465, 0, -996540, 0, 21734, 0, -236, 0, 1]]], "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 4, "char_orbit_label": "g", "char_is_real": true, "Nk2": 6156, "analytic_conductor": 18.637650082244306, "level_radical": 114, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [684, 2, [343, 533, 325], [1, 2, 2]], "inner_twist_count": 4, "level_primes": [2, 3, 19], "conrey_indexes": [343], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 36, "sato_tate_group": 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1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], "char_orbit_index": 7, "prim_orbit_index": 2, "minimal_twist": "684.3.g.d", "char_is_minimal": true, "conrey_index": 343, "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}