# Stored data for newform 37.8.a.b, downloaded from the LMFDB on 19 April 2024. {"label": "37.8.a.b", "space_label": "37.8.a", "level": 37, "weight": 8, "hecke_orbit": 2, "hecke_orbit_code": 4503599761588261, "dim": 11, "is_polredabs": true, "trace_hash": 1330724371586208842, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [28348180480, -16033758976, -7257649280, 1362254048, 297768896, -32891120, -3815344, 302086, 14278, -973, -16, 1]]], "qexp_display": "q+(1+\\beta _{1})q^{2}+(11+\\beta _{2})q^{3}+(71+2\\beta _{1}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2368, "fricke_eigenval": 1, "atkin_lehner_string": "+", "analytic_conductor": 11.558245942912505, "hecke_ring_index": 32, "level_radical": 37, "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, 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