# Stored data for newform 15.12.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "15.12.a.b", "space_label": "15.12.a", "level": 15, "weight": 12, "hecke_orbit": 2, "hecke_orbit_code": 4503599828697103, "dim": 2, "is_polredabs": true, "nf_label": "2.2.1609.1", "trace_hash": 1698303666530117296, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-1488, 22, 1]]], "qexp_display": "q+(-11-\\beta )q^{2}+3^{5}q^{3}+(-318+22\\beta )q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2160, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 11.525147708393833, "hecke_ring_index": 2, "level_radical": 15, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [15, 1, [11, 7], [1, 1]], 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