# Stored data for newform 690.2.a.k, downloaded from the LMFDB on 24 April 2024.
{"label": "690.2.a.k", "space_label": "690.2.a", "level": 690, "weight": 2, "hecke_orbit": 11, "hecke_orbit_code": 45035996307260082, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1344400317095030613, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [0, 1]], [11, [-4, 1]], [17, [6, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 2760, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 5.509677739468347, "hecke_ring_index": 1, "level_radical": 690, "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": "0.020", "prec": 17}, "analytic_rank_proved": true, "char_values": [690, 1, [461, 277, 511], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 23], "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": "1.051", "prec": 17}, {"__RealLiteral__": 0, "data": "0.082", "prec": 17}, {"__RealLiteral__": 0, "data": "2.138", "prec": 17}, {"__RealLiteral__": 0, "data": "0.318", "prec": 17}, {"__RealLiteral__": 0, "data": "5.343", "prec": 17}], "related_objects": ["EllipticCurve/Q/690/k"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, -1], [23, 1]], "trace_display": [1, 1, 1, 0], "traces": [0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 4, 1, -2, 0, 1, 1, -6, 1, 4, 1, 0, 4, -1, 1, 1, -2, 1, 0, -2, 1, 0, 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24, 0, -25, -2, 18, 4, -9, 0, 0, 6, -4, -6, 2, -8, 6, 0, 4, -12, 42, -8, 44, -4, 0, -32, -32, 1, 14, 34, 19, 0, -32, -2, 24, -10, 2, -4, 0, 10, -50, -8, 22, 4, 10, -7, 20, 12, -4, -4, -24, -2, 0, 18, 4, 16, 0, -10, 4, 0, 2, -30, 0, 1, -36, 40, 0, -6, -2, 8, 44, -20, 6, 0, 32, 4, -16, 10, -10, 14, 0, -6, -32, -1, 4, -18, 16, 0, -2, 16, 0, -2, -30, 0, -28, -6, 8, 12, -24, -2, -22, 0, 10, 0, 14, -10, -10, -4, 0, -16, 4, -8, -20, 4, 30, 0, 2, 6, 0, 16, -8, 32, 0, 1, -31, 4, -12, 18, 2, 0, -24, 5, -24, 2, 52, 1, 0, 40, -2, -10, 42, 20, 72, -7, -10, -4, 24, 10, 6, 12, 0, -8, 4, 4, 0, 0, 28, 0, -16, -4, 38, 20, -2, 1], "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": "690.2.a.k", "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], [1], [1], [1], [1], [0], [1], [1], [1], [4], [1], [-2], [0], [1], [1], [-6], [1], [4], [1], [0], [4], [-1], [1], [1], [-2], [1], [0], [-2], [1], [0], [1], [4], [-6], [0], [1], [-2], [4], [-2], [1], [10], [0], [-4], [4], [1], [-1], [0], [1], [-7], [1], [-6], [-2], [6], [1], [4], [0], [4], [-2], [-4], [1], [-10], [0], [0], [1], [-2], [4], [-12], [-6], [-1], [0], [-8], [1], [10], [-2], [1], [4], [0], [-2], [-8], [1], [1], [10], [-4], [0], [-6], [-4], [-2], [4], [18], [1], [0], [-1], [0], [0], [4], [1], [2], [-7], [4], [1]]}