# Stored data for newform 123.2.a.c, downloaded from the LMFDB on 25 April 2024.
{"label": "123.2.a.c", "space_label": "123.2.a", "level": 123, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9007199288295547, "dim": 2, "is_polredabs": true, "nf_label": "2.2.8.1", "trace_hash": 1961794819433819303, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-2, 0, 1]]], "qexp_display": "q+\\beta q^{2}+q^{3}+(2-\\beta )q^{5}+\\beta q^{6}+(-2+\\cdots)q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 492, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 0.9821599448617487, "hecke_ring_index": 1, "level_radical": 123, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 8, "field_poly_is_real_cyclotomic": true, "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": [123, 1, [83, 88], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 41], "conrey_indexes": [1], "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.023", "prec": 17}, {"__RealLiteral__": 0, "data": "2.035", "prec": 17}, {"__RealLiteral__": 0, "data": "0.473", "prec": 17}, {"__RealLiteral__": 0, "data": "10.120", "prec": 20}, {"__RealLiteral__": 0, "data": "5.104", "prec": 17}, {"__RealLiteral__": 0, "data": "70.033", "prec": 20}], "related_objects": ["Genus2Curve/Q/15129/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [41, 1]], "trace_display": [0, 2, 4, -4], "traces": [0, 2, 0, 2, 0, 4, 0, -4, 0, 2, -4, 2, 0, 4, 4, 4, -8, 2, 0, -8, 0, -4, -4, 0, 0, 2, -12, 2, 0, 2, -4, -6, 0, 2, 4, -12, 0, 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1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "123.2.a.c", "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, 0], [1, 0], [0, 1], [1, 0], [0, 0], [2, -1], [0, 1], [-2, 1], [0, -2], [1, 0], [-2, 2], [1, -1], [0, 0], [2, -3], [2, -2], [2, -1], [-4, 0], [1, 1], [0, 1], [-4, 1], [0, 0], [-2, 1], [-2, 1], [0, 1], [0, -2], [1, -4], [-6, 2], [1, 0], [0, 0], [1, 5], [-2, 2], [-3, 0], [0, 0], [1, -1], [2, 1], [-6, 4], [0, 0], [-1, 6], [2, -4], [2, -3], [4, -4], [-1, 0], [2, -2], [-5, 0], [0, 0], [2, -1], [2, 0], [9, -1], [-4, 0], [-1, -4], [-8, 1], [1, 1], [0, 0], [4, -2], [0, 1], [4, -3], [-4, 4], [-4, 1], [10, 1], [0, 6], [0, 0], [1, 4], [0, -3], [-2, 1], [8, 0], [10, -8], [-2, 1], [2, -6], [0, 0], [0, 1], [8, -6], 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