# Stored data for newform 1300.2.i.e, downloaded from the LMFDB on 25 April 2024. {"label": "1300.2.i.e", "space_label": "1300.2.i", "level": 1300, "weight": 2, "hecke_orbit": 5, "hecke_orbit_code": 18014948298851604, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1245373731221451372, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [1, -1, 1]], [19, [49, -7, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{3}-\\zeta_{6}q^{7}+2\\zeta_{6}q^{9}+(-3+\\cdots)q^{11}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 13, "char_orbit_label": "i", "char_is_real": false, "Nk2": 5200, "analytic_conductor": 10.38055226276645, "hecke_ring_index": 1, "level_radical": 130, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 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