# Stored data for newform 722.2.a.a, downloaded from the LMFDB on 24 April 2024.
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"analytic_rank_proved": true, "char_values": [722, 1, [363], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.930", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.792", "prec": 17}], "related_objects": ["EllipticCurve/Q/722/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [19, 1]], "trace_display": [-1, -3, 2, -3], "traces": [0, 1, -1, -3, 1, 2, 3, -3, -1, 6, -2, -2, -3, 3, 3, -6, 1, -1, -6, 0, 2, 9, 2, 5, 3, -1, -3, -9, -3, 3, 6, 6, -1, 6, 1, -6, 6, -6, 0, -9, 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false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "722.2.a.a", "char_is_minimal": true, "conrey_index": 1, "id": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [-1], [-3], [1], [2], [3], [-3], [-1], [6], [-2], [-2], [-3], [3], [3], [-6], [1], [-1], [-6], [0], [2], [9], [2], [5], [3], [-1], [-3], [-9], [-3], [3], [6], [6], [-1], [6], [1], [-6], [6], [-6], [0], [-9], [-2], [-12], [-9], [-10], [-2], [12], [-5], [-8], [-3], [2], [1], [3], [3], [3], [9], [-4], [3], [0], [-3], [-3], [-6], [0], [-6], [-18], [1], [6], [-6], [-15], [-1], [-15], [6], [0], [-6], [-11], [6], [3], [0], [6], [9], [12], [2], [9], [12], [2], [9], [-2], [10], [-9], [2], [-6], [-12], [-9], [5], [-18], [8], [0], [3], [-12], [-2], [-12], [-1]]}