# Stored data for newform 61.2.a.a, downloaded from the LMFDB on 25 April 2024.
{"label": "61.2.a.a", "space_label": "61.2.a", "level": 61, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 33554493, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1741252524209688521, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [1, 1]]], "qexp_display": "q-q^{2}-2q^{3}-q^{4}-3q^{5}+2q^{6}+q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 244, "fricke_eigenval": 1, "atkin_lehner_string": "+", "analytic_conductor": 0.4870874523298103, "hecke_ring_index": 1, "level_radical": 61, "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": "0.012", "prec": 17}, "analytic_rank_proved": true, "char_values": [61, 1, [2], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [61], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.999", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.981", "prec": 17}], "related_objects": ["EllipticCurve/Q/61/a"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[61, 1]], "trace_display": [-1, -2, -3, 1], "traces": [0, 1, -1, -2, -1, -3, 2, 1, 3, 1, 3, -5, 2, 1, -1, 6, -1, 4, -1, -4, 3, -2, 5, -9, -6, 4, -1, 4, -1, -6, -6, 0, -5, 10, -4, -3, -1, 8, 4, -2, -9, 5, 2, -8, 5, -3, 9, 4, 2, -6, -4, -8, -1, 6, -4, 15, 3, 8, 6, 9, -6, -1, 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"prim_orbit_index": 1, "minimal_twist": "61.2.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], [-2], [-1], [-3], [2], [1], [3], [1], [3], [-5], [2], [1], [-1], [6], [-1], [4], [-1], [-4], [3], [-2], [5], [-9], [-6], [4], [-1], [4], [-1], [-6], [-6], [0], [-5], [10], [-4], [-3], [-1], [8], [4], [-2], [-9], [5], [2], [-8], [5], [-3], [9], [4], [2], [-6], [-4], [-8], [-1], [6], [-4], [15], [3], [8], [6], [9], [-6], [-1], [0], [1], [7], [-3], [-10], [-7], [-4], [18], [3], [-8], [3], [-11], [-8], [-8], [4], [-5], [2], [3], [3], [-11], [-5], [4], [2], [-12], [8], [12], [-15], [-4], [3], [1], [9], [0], [-4], [12], [10], [-14], [6], [-5], [-4]]}