# Stored data for newform 637.2.e.i, downloaded from the LMFDB on 23 April 2024. {"label": "637.2.e.i", "space_label": "637.2.e", "level": 637, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36029071930425981, "dim": 6, "is_polredabs": true, "nf_label": "6.0.2696112.1", "trace_hash": 309948907408792937, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [4, 8, 18, 0, 5, 1, 1]], [3, [64, 48, 52, 4, 10, 2, 1]], [5, [4, -6, 13, 2, 7, -2, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(-\\beta _{1}-\\beta _{2}-\\beta _{3}-\\beta _{4}+\\beta _{5})q^{3}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "e", "char_is_real": false, "Nk2": 2548, "analytic_conductor": 5.086470608755561, "hecke_ring_index": 1, "level_radical": 91, "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": false, 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