# Stored data for newform 15730.2.a.bw, downloaded from the LMFDB on 18 September 2025.
{"Nk2": 62920, "analytic_conductor": 125.60468237947404, "atkin_lehner_eigenvals": [[2, -1], [5, 1], [11, -1], [13, -1]], "atkin_lehner_string": "-+--", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [15730, 1, [3147, 3511, 1211], [49, 49, 49]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 3, "field_disc_factorization": [[3, 1]], "field_poly": [-1, -4, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": -1, "hecke_orbit": 49, "hecke_orbit_code": 216172782147353970, "inner_twist_count": -1, "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "label": "15730.2.a.bw", "level": 15730, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 11, 13], "level_radical": 1430, "nf_label": "3.3.229.1", "prim_orbit_index": 1, "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "15730.2.a", "trace_display": [3, -1, -3, -1], "traces": [3, 3, -1, 3, -3, -1, -1, 3, 4, -3, 0, -1, 3, -1, 1, 3, 5, 4, -13, -3, 3, 0, -2, -1, 3, 3, -1, -1, 5, 1, 9, 3, 0, 5, 1, 4, 5, -13, -1, -3, -4, 3, 0, 0, -4, -2, -4, -1, 4, 3, 1, 3, 7, -1, 0, -1, 7, 5, 2, 1, -21, 9, -26, 3, -3, 0, 8, 5, 26, 1, 11, 4, 6, 5, -1, -13, 0, -1, -2, -3, -9, -4, -2, 3, -5, 0, 11, 0, 9, -4, -1, -2, 25, -4, 13, -1, 22, 4, 0, 3], "weight": 2, "weight_parity": 1, "id": null, "analytic_rank": null, "analytic_rank_proved": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "hecke_cutters": null, "hecke_ring_generator_nbound": null, "hecke_ring_index": null, "hecke_ring_index_factorization": null, "hecke_ring_index_proved": null, "inner_twists": null, "is_twist_minimal": null, "level_is_powerful": null, "level_is_prime_square": null, "minimal_twist": 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}