# Stored data for newform 66.2.a.b, downloaded from the LMFDB on 24 April 2024.
{"label": "66.2.a.b", "space_label": "66.2.a", "level": 66, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660924994, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1085673562421270116, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-2, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-4q^{7}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 264, "fricke_eigenval": -1, "atkin_lehner_string": "-++", "analytic_conductor": 0.5270126533404506, "hecke_ring_index": 1, "level_radical": 66, "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": [66, 1, [23, 13], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 11], "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": "0.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.953", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.887", "prec": 17}], "related_objects": ["EllipticCurve/Q/66/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [11, 1]], "trace_display": [1, -1, 2, -4], "traces": [0, 1, 1, -1, 1, 2, -1, -4, 1, 1, 2, -1, -1, -6, -4, -2, 1, 2, 1, 4, 2, 4, -1, 4, -1, -1, -6, -1, -4, 6, -2, 0, 1, 1, 2, -8, 1, 6, 4, 6, 2, -6, 4, 4, -1, 2, 4, -12, -1, 9, -1, 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-2, -40, 0, -1, -48, -52, 4, 46, 8, -26, -6, 18, 4, 0, -4, 0, -12, 12, 8, 7, -10, 22, -4, 46, -12, -4, 2, -4, -2, 24, 12, -6, 56, 8, 4, 26, -6, 4, 8, -24, 0, 20, -1, -20, 2, 13, 0, 4, -12, -24, -6, -14, 16, 48, 6, 42, 4, -22, -2, -14, 9, 4, -12, -24, 28, 0, -6, -48, 20, -1, 0, -48, 10, 40, -4, 24, -22, 0, -1, 4, 6, 16, 2, -4, -4, 28, 12, 14, 48, 12, -4, -4, 34, 28, 14, -16, -2, -4, 8, -4, 14, 72, -4, -6, -24, 0, 6, 42, 0, 36, 10, -4, 12, -4, -6, -38, -16, -26, -24, -42, 10, -24, 12, 8, -4, 12, 4, 36, -4, -18, -8, -6, 2, -24, 8, 6, 0, -8, -2, -31, -36, 4, 10, 20, 16, -44, 1, -8, -28, 12, -1, 16, -16, -6, -14, 26, 20, -10, 18, -6, -28, 36, 6, -4, 12, -48, -24, 16, -2, 32, 0, -20, 48, -32, -4, -14, -4, -6, -12], "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": "66.2.a.b", "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], [2], [-1], [-4], [1], [1], [2], [-1], [-1], [-6], [-4], [-2], [1], [2], [1], [4], [2], [4], [-1], [4], [-1], [-1], [-6], [-1], [-4], [6], [-2], [0], [1], [1], [2], [-8], [1], [6], [4], [6], [2], [-6], [4], [4], [-1], [2], [4], [-12], [-1], [9], [-1], [-2], [-6], [2], [-1], [-2], [-4], [-4], [6], [12], [-2], [-14], [0], [-4], [1], [-12], [1], [4], [2], [-4], [-8], [-12], [1], [-6], [6], [1], [4], [4], [6], [-4], [2], [1], [-6], [4], [4], [4], [4], [-6], [-1], [10], [2], [24], [4], [0], [-12], [8], [-1], [-14], [9], [-1], [-1]]}