# Stored data for newform 350.2.e.b, downloaded from the LMFDB on 25 April 2024. {"label": "350.2.e.b", "space_label": "350.2.e", "level": 350, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503874538832222, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1434096263828420473, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [4, 2, 1]], [11, [9, 3, 1]], [13, [-1, 1]], [17, [36, 6, 1]]], "qexp_display": "q-\\zeta_{6}q^{2}+(-2+2\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1400, "analytic_conductor": 2.7947640707448134, "hecke_ring_index": 1, "level_radical": 70, "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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true, "conrey_index": 51, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [0, -1], [-2, 2], [-1, 1], [0, 0], [2, 0], [3, -2], [1, 0], [0, -1], [0, 0], [-3, 3], [0, -2], [1, 0], [-2, -1], [0, 0], [0, -1], [-6, 6], [-1, 1], [0, 1], [0, 0], [-2, 6], [3, 0], [0, 9], [-2, 2], [0, 0], [0, -1], [-4, 0], [-1, 3], [6, 0], [0, 0], [-8, 8], [-1, 1], [0, -6], [6, 0], [0, 0], [1, 0], [0, -7], [1, -1], [-2, 2], [0, 0], [3, 0], [6, -4], [-2, 0], [0, -3], [0, 0], [9, -9], [0, 9], [2, 0], [5, -8], [0, 0], [0, -12], [-1, 1], [9, -9], [0, 4], [0, 0], [3, -2], [-2, 0], [0, -6], [0, 0], [0, 0], [0, -8], [8, 0], [-2, -1], [1, 0], [0, 0], [-6, 6], [8, -8], [0, -6], [-18, 0], [0, 0], [0, 0], [0, -1], 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