# Stored data for newform 546.2.by.a, downloaded from the LMFDB on 20 April 2024.
{"label": "546.2.by.a", "space_label": "546.2.by", "level": 546, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 3436007391778, "dim": 32, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [9409, 6596, -1137166, 552780, 46256392, -95145272, 68593920, -323424356, 291652167, 260538016, 697001302, 774387260, 426053236, 426371364, 201325146, 14075776, 30207436, -8010972, -12298432, 114404, -385232, 12920, 350906, 55924, 25227, 5688, -1800, -124, -156, -36, 12, 0, 1]]], "char_order": 12, "char_parity": 1, "char_degree": 4, "char_conductor": 91, "char_orbit_label": "by", "char_is_real": false, "Nk2": 2184, "analytic_conductor": 4.359831950361909, "level_radical": 546, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [546, 12, [365, 157, 379], [12, 10, 5]], "inner_twist_count": 2, "level_primes": [2, 3, 7, 13], "conrey_indexes": [19, 115, 397, 535], "related_objects": [], 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"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}