# Stored data for newform 784.2.m.h, downloaded from the LMFDB on 13 May 2024. {"label": "784.2.m.h", "space_label": "784.2.m", "level": 784, "weight": 2, "hecke_orbit": 8, "hecke_orbit_code": 31526022058869520, "dim": 12, "is_polredabs": true, "nf_label": "12.0.20138089353117696.1", "trace_hash": 589373940997587757, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [64, 192, 288, 144, 164, 376, 552, 288, 76, 4, 8, 4, 1]], [5, [2304, -4608, 4608, 3072, 1828, -1288, 968, 504, 140, -12, 8, 4, 1]]], "qexp_display": "q+\\beta _{2}q^{2}+(\\beta _{2}-\\beta _{10})q^{3}+\\beta _{1}q^{4}+(-1+\\cdots)q^{5}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 16, "char_orbit_label": "m", "char_is_real": false, "Nk2": 3136, "analytic_conductor": 6.260271518468382, "hecke_ring_index": 4, "level_radical": 14, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, 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