# Stored data for newform 370.2.e.a, downloaded from the LMFDB on 25 April 2024. {"label": "370.2.e.a", "space_label": "370.2.e", "level": 370, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 274911461746, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 1587743153677733406, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [4, 2, 1]], [7, [0, 1]]], "qexp_display": "q+(1-\\zeta_{6})q^{2}-2\\zeta_{6}q^{3}-\\zeta_{6}q^{4}-\\zeta_{6}q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 37, "char_orbit_label": "e", "char_is_real": false, "Nk2": 1480, "analytic_conductor": 2.9544648747873743, "hecke_ring_index": 1, "level_radical": 370, "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": {"__RealLiteral__": 0, "data": 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5, "prim_orbit_index": 3, "minimal_twist": "370.2.e.a", "char_is_minimal": true, "conrey_index": 121, "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], [1, -1], [0, -2], [0, -1], [0, -1], [-2, 0], [0, 0], [-1, 0], [-1, 1], [-1, 0], [-5, 0], [-2, 2], [0, -1], [0, 0], [-2, 2], [-1, 1], [4, -4], [0, 1], [0, 5], [-1, 1], [0, 0], [-5, 5], [1, 0], [0, 2], [-1, 1], [-1, 0], [-4, 0], [0, 0], [-2, 0], [0, 2], [-4, 0], [0, 1], [0, 10], [0, -4], [0, 0], [1, 0], [3, -7], [5, 0], [-2, 2], [0, 1], [0, -10], [0, 0], [6, 0], [0, 5], [1, 0], [1, -1], [9, 0], [2, 0], [7, -7], [0, 1], [-8, 0], [-1, 1], [6, -6], [-4, 4], [0, 5], [0, 0], [10, -10], [-2, 2], [-1, 1], [2, 0], [0, -2], [-4, 4], [0, 0], 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