# Stored data for newform 5040.2.t.ba, downloaded from the LMFDB on 29 March 2024. {"label": "5040.2.t.ba", "space_label": "5040.2.t", "level": 5040, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117094896015250352, "dim": 6, "is_polredabs": true, "nf_label": "6.0.350464.1", "trace_hash": 1611525563472460196, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[11, [8, -20, -2, 1]], [13, [64, 0, 176, 0, 28, 0, 1]], [17, [256, 0, 256, 0, 32, 0, 1]], [19, [8, -12, -2, 1]], [29, [104, -84, -2, 1]]], "qexp_display": "q-\\beta _{5}q^{5}-\\beta _{1}q^{7}+(\\beta _{2}-\\beta _{3}-\\beta _{4}-\\beta _{5})q^{11}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "t", "char_is_real": true, "Nk2": 20160, "analytic_conductor": 40.24460261872532, "hecke_ring_index": 8, "level_radical": 210, "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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