# Stored data for newform 855.2.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "855.2.a.c", "space_label": "855.2.a", "level": 855, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288296279, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 799537701993308458, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-1, 1]], [7, [2, 1]]], "qexp_display": "q+q^{2}-q^{4}+q^{5}-2q^{7}-3q^{8}+q^{10}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 3420, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 6.827209372819473, "hecke_ring_index": 1, "level_radical": 285, "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": [855, 1, [191, 172, 496], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 19], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "0.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.901", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.872", "prec": 17}], "related_objects": ["EllipticCurve/Q/855/c"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1], [19, -1]], "trace_display": [1, 0, 1, -2], "traces": [0, 1, 1, 0, -1, 1, 0, -2, -3, 0, 1, 6, 0, 0, -2, 0, -1, 6, 0, 1, -1, 0, 6, 8, 0, 1, 0, 0, 2, -4, 0, 0, 5, 0, 6, -2, 0, 4, 1, 0, -3, 0, 0, -2, -6, 0, 8, 8, 0, -3, 1, 0, 0, -2, 0, 6, 6, 0, -4, -12, 0, 2, 0, 0, 7, 0, 0, -8, -6, 0, -2, -16, 0, 14, 4, 0, -1, -12, 0, 8, -1, 0, 0, 0, 0, 6, -2, 0, -18, 0, 0, 0, -8, 0, 8, 1, 0, -12, -3, 0, -1, 18, 0, -8, 0, 0, -2, 12, 0, -6, 6, 0, 2, 6, 0, 8, 4, 0, -12, -12, 0, 25, 2, 0, 0, 1, 0, 4, -3, 0, 0, 2, 0, -2, -8, 0, -18, 10, 0, -16, 2, 0, -16, 0, 0, -4, 14, 0, -4, -6, 0, -16, -3, 0, -12, 0, 0, -2, 8, 0, 5, -16, 0, -22, 0, 0, 0, -16, 0, -13, 6, 0, 2, -6, 0, -2, -6, 0, 0, 20, 0, 10, 0, 0, -24, 4, 0, 36, -8, 0, 1, -10, 0, 24, -12, 0, 3, -6, 0, -20, -3, 0, 18, 8, 0, 0, -8, 0, 0, 6, 0, -20, 2, 0, 12, -2, 0, 0, -6, 0, -6, 0, 0, 8, -10, 0, 6, 28, 0, 2, 8, 0, 12, -22, 0, 8, 12, 0, -12, -6, 0, 18, 25, 0, -2, -3, 0, 0, 0, 0, 1, 6, 0, 48, 4, 0, -17, 22, 0, -8, 0, 0, 2, 12, 0, -2, -2, 0, 8, -12, 0, -20, -6, 0, 10, 6, 0, -2, -16, 0, 6, 4, 0, -14, 16, 0, 0, 0, 0, 19, -4, 0, -14, -30, 0, -12, -12, 0, -6, 0, 0, 4, -16, 0, -1, 2, 0, -8, 12, 0, 0, -34, 0, 10, -2, 0, -8, 6, 0, -24, 7, 0, -16, 6, 0, 0, -22, 0, 0, -16, 0, 28, 0, 0, -16, -8, 0, -12, -13, 0, -6, 0, 0, 20, 6, 0, -6, -8, 0, -2, -2, 0, 30, 34, 0, -16, 0, 0, 20, -10, 0, 1, 10, 0, 0, 14, 0, -14, -8, 0, 4, 4, 0, 0, 36, 0, -24, 0, 0, 20, -1, 0, -10, -8, 0, -12, 24, 0, 12, 14, 0, 48, 9, 0, -6, 8, 0, 6, -20, 0, -1, -4, 0, 0, -18, 0, 8, 24, 0, -10, 0, 0, 8, 24, 0, 0, 0, 0, 6, 30, 0, 6, -20, 0, 6, 6, 0, -4, -12, 0, -2, -36, 0, -16, 0, 0, 6, 8, 0, 24, -18, 0, 0, 12, 0, 0, 8, 0, -14, 8, 0, 0, -6, 0, 28, 0, 0, -6, 2, 0, -8, -30, 0, -14, 4, 0, -22, -12, 0, 16, 8, 0, 36, -12, 0, 1, 12, 0, -6, -18, 0, 0, 18, 0, -25, -12, 0, 8, -6, 0, -3, 26, 0, -24, 0, 0, 0, 32, 0, -24, -1, 0, 6, 36, 0, 18, 48, 0, -4, 24, 0, -28, -11, 0, 22, -8, 0, 48, -8, 0, 0, 4, 0, -4, -2, 0, 12, 0, 0, 41, -2, 0, 2, 0, 0, 12, 24, 0, -12, -18, 0, -42, -20, 0, 30, -6, 0, -8, -10, 0, 6, -4, 0, -16, -2, 0, 16, -18, 0, 0, 2, 0, 4, -36, 0, 6, -14, 0, 48, 8, 0, -24, 0, 0, 0, 8, 0, 2, 19, 0, 4, 0, 0, -12, -42, 0, -30, 20, 0, 0, -12, 0, -4, 10, 0, -12, 6, 0, 0, 20, 0, 22, 4, 0, 16, 25, 0, 16, 5, 0, 2, 0, 0, -2, -8, 0, 36, -34, 0, 8, 0, 0, -34, 0, 0, 1, 10, 0, 2, 24, 0, -40, -24, 0, 6, 4, 0, 0, -24, 0, -3, -40, 0, 2, 16, 0, 6, -20, 0, -72, 0, 0, 22, 18, 0, 2, 0, 0, -16, -48, 0, -22, 28, 0, 0, -2, 0, -32, 16, 0, -8, 12, 0, 36, -12, 0, 13, -18, 0, 24, -18, 0, 0, 36, 0, 10, 20, 0, 2, 0, 0, 32, 6, 0, -8, -16, 0, 0, -2, 0, 2, 42, 0, 4, 42, 0, 34, -36, 0, -14, -16, 0, 0, 0, 0, 0, -20, 0, -10, 18, 0, 16, 1, 0, -10, -4, 0, 26, 0, 0, 14, -12, 0, -22, -14, 0, 40, -48, 0, -20, -4, 0, 4, -24, 0, -6, 0, 0, -36, -24, 0, -40, -8, 0, 0, -16, 0, -38, 20, 0, -3, -30, 0, 12, 10, 0, -8, 0, 0, -14, -12, 0, -24, 6, 0, 0, 36, 0, 14, 0, 0, -96, 48, 0, 3, -2, 0, -28, 6, 0, 8, -12, 0, 0, 6, 0, 20, 26, 0, 48, 5, 0, -4, 84, 0, -16, 0, 0, -54, -2, 0, 20, -8, 0, 24, -22, 0, -2, -10, 0, 0, -6, 0, -14, 24, 0, 24, -36, 0, -6, 0, 0, 0, -18, 0, -16, -6, 0, 30, -8, 0, -13, 6, 0, 20, -13, 0, -50, 2, 0, 6, 32, 0, 26, -4, 0, -36, -46, 0, 44, 2, 0, -36, 24, 0, -6, -16, 0, 0, 48, 0, 0, 18, 0, 8, -2, 0, -24, 24, 0, -6, 42, 0, 2, 0, 0, 12, -48, 0, -8, 0, 0, -8, 8, 0, 20, 6, 0, 8, 0, 0, -12, 0, 0, -18, 10, 0, -52, -28, 0, 0, 0, 0, 0, -6, 0, -2, -4, 0, -40, -24, 0, -30, 0, 0, 4, -14, 0, -20, -18, 0, -3, 22, 0, -12, 36, 0, 30, 16, 0, -8, -44, 0, 0, 12, 0, -12, -48, 0, 0, 1, 0, 36, 30, 0, -10, 6, 0, -18, -20, 0, -31, 0, 0, -18, 24, 0, -14, -75, 0, -12, 8, 0, 32, 8, 0, -2, 42, 0, 0, 3, 0, 26, -8, 0, -6, -24, 0, 0, -16, 0, -16, 0, 0, 32, -20, 0, 14, -24, 0, -3], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "285.2.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, "artin_field": null, "embedded_related_objects": null, "qexp": [[0], [1], [1], [0], [-1], [1], [0], [-2], [-3], [0], [1], [6], [0], [0], [-2], [0], [-1], [6], [0], [1], [-1], [0], [6], [8], [0], [1], [0], [0], [2], [-4], [0], [0], [5], [0], [6], [-2], [0], [4], [1], [0], [-3], [0], [0], [-2], [-6], [0], [8], [8], [0], [-3], [1], [0], [0], [-2], [0], [6], [6], [0], [-4], [-12], [0], [2], [0], [0], [7], [0], [0], [-8], [-6], [0], [-2], [-16], [0], [14], [4], [0], [-1], [-12], [0], [8], [-1], [0], [0], [0], [0], [6], [-2], [0], [-18], [0], [0], [0], [-8], [0], [8], [1], [0], [-12], [-3], [0], [-1]]}