# Stored data for newform 441.2.i.d, downloaded from the LMFDB on 16 April 2024. {"label": "441.2.i.d", "space_label": "441.2.i", "level": 441, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13511348671480249, "dim": 48, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [49, 0, 3828, 0, 39240, 0, 151416, 0, 290826, 0, 319272, 0, 216050, 0, 93876, 0, 26613, 0, 4884, 0, 558, 0, 36, 0, 1]]], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 63, "char_orbit_label": "i", "char_is_real": false, "Nk2": 1764, "analytic_conductor": 3.521402729138465, "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": [441, 6, [344, 199], [5, 5]], "inner_twist_count": 4, "level_primes": [3, 7], "conrey_indexes": [68, 227], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 24, "sato_tate_group": "1.2.3.c6", 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63, 9, 1, 6, 0], [1, 1, 63, 10, -1, 6, 0]], "char_orbit_index": 9, "prim_orbit_index": 9, "minimal_twist": "441.2.o.e", "char_is_minimal": false, "conrey_index": 68, "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}