# Stored data for newform 51.2.a.a, downloaded from the LMFDB on 19 April 2024.
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37], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 17], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.007", "prec": 17}, {"__RealLiteral__": 0, "data": "0.961", "prec": 17}, {"__RealLiteral__": 0, "data": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "1.850", "prec": 17}, {"__RealLiteral__": 0, "data": "0.058", "prec": 17}, {"__RealLiteral__": 0, "data": "4.516", "prec": 17}], "related_objects": ["EllipticCurve/Q/51/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [17, 1]], "trace_display": [0, 1, 3, -4], "traces": [0, 1, 0, 1, -2, 3, 0, -4, 0, 1, 0, -3, -2, -1, 0, 3, 4, -1, 0, -1, -6, -4, 0, 9, 0, 4, 0, 1, 8, 6, 0, 2, 0, -3, 0, -12, -2, -4, 0, -1, 0, -3, 0, -7, 6, 3, 0, -6, 4, 9, 0, -1, 2, -6, 0, -9, 0, 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12, -4, 14, 0, -24, -36, 18, 0, 11, -2, 18, 0, 39, 0, 52, 0, -3, 2, 6, 0, -18, 0, -9, 0, 12, -8, 6, 0, 28, 0, 42, 0, 2, -6, 0, 0, -27, -4, 18, 0, 24, -28, -12, 0, 11, 0, 20, 0, -12, -24, -16, 0, 5, 0, 15, 0, -9, -42, -24, 0, 9, 0, -22, 0, -16, 36, 18, 0, -27, 24, -12, 0, 36, 20, -2, 0, -6, 0, 36, 0, 54, 24, -18, 0, 24, -24, -27, 0, 9, -16, -66, 0, 41, 0, 1, 0, 6, -2, -8, 0, -4, 32, -30, 0, 0, -54, 20, 0, -9, 0, 9, 0, 24, -2, -63, 0, -52, 0, -13, 0, -48, 12, 62, 0, -4, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "51.2.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, 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