# Stored data for newform 26.2.a.b, downloaded from the LMFDB on 25 April 2024.
{"label": "26.2.a.b", "space_label": "26.2.a", "level": 26, "weight": 2, "hecke_orbit": 2, "hecke_orbit_code": 4503599660924954, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1458165707980378714, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [3, 1]]], "qexp_display": "q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{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": 104, "fricke_eigenval": -1, "atkin_lehner_string": "-+", "analytic_conductor": 0.207611045255329, "hecke_ring_index": 1, "level_radical": 26, "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": "0.017", "prec": 17}, "analytic_rank_proved": true, "char_values": [26, 1, [15], [1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 13], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.009", "prec": 17}, {"__RealLiteral__": 0, "data": "0.995", "prec": 17}, {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "1.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.973", "prec": 17}], "related_objects": ["EllipticCurve/Q/26/b"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [13, 1]], "trace_display": [1, -3, -1, 1], "traces": [0, 1, 1, -3, 1, -1, -3, 1, 1, 6, -1, -2, -3, -1, 1, 3, 1, -3, 6, 6, -1, -3, -2, -4, -3, -4, -1, -9, 1, 2, 3, 4, 1, 6, -3, -1, 6, 3, 6, 3, -1, 0, -3, -5, -2, -6, -4, 13, -3, -6, -4, 9, -1, 12, -9, 2, 1, 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-36, 54, -8, -24, -10, 30, -24, -38, 0, -36, -1, 18, -21, 0, -12, -36, 21, 56, 3, -25, -5, 78, 23, -1, 78, -7, 12, -12, 12, -12, 15, 49, -8, -36, -4, 46, -6, 20, 5, 0, 33, -11, -9, -20, 7, 24, 4, 8, 6, 2, 19, 84, -24, 9, 30, -39, -22, -21, 2, 21, -36, -47, 3, -30, -39, -8, -9, 16, -6, -18, -21, 78, 54, 9, 1, -12, -26, 8, -24, -36, 0, 15, 2, 0, 27, -9, -24, 24, 1, -54, -18, 0, 10, -24, -15, -1, 27, 24, 4, -42, -21, 5, 6, -12, 16, -48, 2, -36, 12, -36, -11, -54, 20, -6, -6, -42, -2, 3, -13, 25, 30, 0, -10, 9, 10, -18, 12, 10, -24, 54, -3, 23, 72, -10, 9, 12, -3, 12, 3, -15, -3, -24, 18, 16, 12, 23, -7, 54, -14, -15, 0, 7, -16, -12, -8, -30, 12, -12, 6, 114, -5, -31, 0, -9, -6, -39, -6, 20, 12, -30, 4, 12, -5, 10, 0, -10, -32, -27, 9], "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": "26.2.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], [-3], [1], [-1], [-3], [1], [1], [6], [-1], [-2], [-3], [-1], [1], [3], [1], [-3], [6], [6], [-1], [-3], [-2], [-4], [-3], [-4], [-1], [-9], [1], [2], [3], [4], [1], [6], [-3], [-1], [6], [3], [6], [3], [-1], [0], [-3], [-5], [-2], [-6], [-4], [13], [-3], [-6], [-4], [9], [-1], [12], [-9], [2], [1], [-18], [2], [-10], [3], [-8], [4], [6], [1], [1], [6], [-2], [-3], [12], [-1], [-5], [6], [-10], [3], [12], [6], [-2], [3], [-4], [-1], [9], [0], [0], [-3], [3], [-5], [-6], [-2], [6], [-6], [-1], [-4], [-12], [13], [-6], [-3], [14], [-6], [-12], [-4]]}