# Stored data for newform 49.2.c.a, downloaded from the LMFDB on 25 April 2024. {"label": "49.2.c.a", "space_label": "49.2.c", "level": 49, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 137472507953, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 981818735901498305, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "qexp_display": "q-\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{4}-3q^{8}+3\\zeta_{6}q^{9}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "c", "char_is_real": false, "Nk2": 196, "analytic_conductor": 0.3912669699042739, "hecke_ring_index": 1, "level_radical": 7, "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": 1, "is_self_dual": false, "is_self_twist": true, "is_cm": true, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.506", "prec": 17}, "analytic_rank_proved": 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0, 0, -80, 15, 0, 0, 0, 0, 0, -48, 0, 0, -46, 0, 0, 0, -108, -44, 0, 0, 0, 0, 0, 0, 96, 0, 24, 0, 0, 0, 0, 0, 0, -36, 0, 0], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": true, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7], [1, 1, 7, 3, 1, 3, 0], [1, 1, 7, 4, -1, 6, 0]], "char_orbit_index": 3, "prim_orbit_index": 3, "minimal_twist": "49.2.a.a", "char_is_minimal": false, "conrey_index": 18, "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], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0], [-3, 0], [0, 3], [0, 0], [-4, 4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 1], 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