# Stored data for newform 1334.2.a.a, downloaded from the LMFDB on 18 April 2024.
{"label": "1334.2.a.a", "space_label": "1334.2.a", "level": 1334, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33555766, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1293717036724540877, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [0, 1]], [5, [0, 1]]], "qexp_display": "q-q^{2}+q^{4}+4q^{7}-q^{8}-3q^{9}+2q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5336, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 10.652043629638802, "hecke_ring_index": 1, "level_radical": 1334, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.022", "prec": 17}, "analytic_rank_proved": true, "char_values": [1334, 1, [465, 553], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 23, 29], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "1.017", "prec": 17}, {"__RealLiteral__": 0, "data": "0.029", "prec": 17}, {"__RealLiteral__": 0, "data": "2.078", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.283", "prec": 17}], "related_objects": ["EllipticCurve/Q/1334/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [23, -1], [29, 1]], "trace_display": [-1, 0, 0, 4], "traces": [0, 1, -1, 0, 1, 0, 0, 4, -1, -3, 0, 2, 0, 6, -4, 0, 1, 2, 3, -2, 0, 0, -2, 1, 0, -5, -6, 0, 4, -1, 0, 0, -1, 0, -2, 0, -3, 4, 2, 0, 0, -2, 0, 10, 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