# Stored data for newform 770.2.a.f, downloaded from the LMFDB on 20 April 2024.
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"analytic_rank_proved": true, "char_values": [770, 1, [617, 661, 211], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7, 11], "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": "1.032", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.071", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.180", "prec": 17}], "related_objects": ["EllipticCurve/Q/770/f"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, 1], [7, -1], [11, 1]], "trace_display": [1, -2, -1, 1], "traces": [0, 1, 1, -2, 1, -1, -2, 1, 1, 1, -1, -1, -2, -4, 1, 2, 1, 0, 1, -4, -1, -2, -1, 0, -2, 1, -4, 4, 1, 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"770.2.a.f", "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], [-2], [1], [-1], [-2], [1], [1], [1], [-1], [-1], [-2], [-4], [1], [2], [1], [0], [1], [-4], [-1], [-2], [-1], [0], [-2], [1], [-4], [4], [1], [-6], [2], [-10], [1], [2], [0], [-1], [1], [2], [-4], [8], [-1], [-12], [-2], [-4], [-1], [-1], [0], [6], [-2], [1], [1], [0], [-4], [-6], [4], [1], [1], [8], [-6], [-6], [2], [-4], [-10], [1], [1], [4], [2], [-4], [0], [0], [-1], [12], [1], [-4], [2], [-2], [-4], [-1], [8], [8], [-1], [-11], [-12], [12], [-2], [0], [-4], [12], [-1], [18], [-1], [-4], [0], [20], [6], [4], [-2], [-10], [1], [-1], [1]]}