# Stored data for newform 243.2.a.e, downloaded from the LMFDB on 20 April 2024.
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"analytic_rank_proved": true, "char_values": [243, 1, [2], [1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3], "conrey_indexes": [1], "field_disc": 81, "field_disc_factorization": [[3, 4]], "field_poly": [-1, -3, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.853", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "21.833", "prec": 20}, {"__RealLiteral__": 0, "data": "5.112", "prec": 17}, {"__RealLiteral__": 0, "data": "255.789", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1]], "trace_display": [-3, 0, -6, -3], "traces": [0, 3, -3, 0, 3, -6, 0, -3, -6, 0, 0, -3, 0, -3, 3, 0, 3, -9, 0, -3, 3, 0, 0, -6, 0, 3, 12, 0, -12, -12, 0, -12, 0, 0, 9, 6, 0, -3, 12, 0, 9, 3, 0, -12, 15, 0, 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"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, 0, 0], [1, 0, 0], [-1, 1, 0], [0, 0, 0], [1, -2, 1], [-2, -1, 0], [0, 0, 0], [-1, 1, -2], [-2, 2, -3], [0, 0, 0], [0, -1, -1], [-1, -2, 3], [0, 0, 0], [-1, 1, 1], [1, -4, 3], [0, 0, 0], [1, -3, 3], [-3, 0, 0], [0, 0, 0], [-1, 0, 3], [1, 2, 0], [0, 0, 0], [0, 4, -5], [-2, 2, -3], [0, 0, 0], [1, 4, 1], [4, -1, 0], [0, 0, 0], [-4, 6, -3], [-4, 1, -3], [0, 0, 0], [-4, 1, -2], [0, 3, 0], [0, 0, 0], [3, -3, 0], [2, 1, 3], [0, 0, 0], [-1, -3, 0], [4, 2, -3], [0, 0, 0], [3, 1, 4], [1, 5, -3], [0, 0, 0], [-4, -2, 1], [5, -5, 3], [0, 0, 0], [3, -7, 5], [2, -5, 0], [0, 0, 0], [0, -2, 1], [8, -2, 3], [0, 0, 0], [-4, 3, -3], [-6, 0, 3], [0, 0, 0], [3, 2, -4], [11, -5, 3], [0, 0, 0], [3, -8, 4], [7, -1, 0], [0, 0, 0], [2, 1, -5], [4, -7, 3], [0, 0, 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