# Stored data for newform 210.2.a.d, downloaded from the LMFDB on 08 May 2024.
{"label": "210.2.a.d", "space_label": "210.2.a", "level": 210, "weight": 2, "hecke_orbit": 4, "hecke_orbit_code": 13510798915666130, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 850949398862613817, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [0, 1]], [17, [6, 1]], [19, [4, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}-q^{5}+q^{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": 840, "fricke_eigenval": -1, "atkin_lehner_string": "--+-", "analytic_conductor": 1.676858442446888, "hecke_ring_index": 1, "level_radical": 210, "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": "0.023", "prec": 17}, "analytic_rank_proved": true, "char_values": [210, 1, [71, 127, 31], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 7], "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": "0.987", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.984", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.936", "prec": 17}], "related_objects": ["EllipticCurve/Q/210/d"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [5, 1], [7, -1]], "trace_display": [1, 1, -1, 1], "traces": [0, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 0, 1, 2, 1, -1, 1, -6, 1, -4, -1, 1, 0, 0, 1, 1, 2, 1, 1, -6, -1, -4, 1, 0, -6, -1, 1, 2, -4, 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-28, 9, -12, -11, 6, 20, -6, 0, 0, 26, 2, 4, 12, 18, 0, -4, -8, 6, 24, -48, 1, 6, -34, 19, -4, 0, 6, 16, 14, 14, 0, -1, 14, 50, -28, -6, 0, -42, 1, -40, -12, 12, 12, -12, 2, 8, -6, 0, -16, 48, 18, 0, 1, 0, -6, 24, 1, -36, 0, 8, 18, -2, -16, -16, -12, -6, -2, 0, -4, 0, 2, -2, 2, 12, -6, -16, 0, 20, -30, 0, 0, 2, -16, -16, -6, 54, 4, -4, -6, 0, 12, 0, 2, -34, 8, -10, 12, 18, 2, 0, -12, -1, 0, -36, -16, 28, -4, 30, -6, -6, 6, 0, 0, 0, -24, -6, -1, -15, 4, 12, 26, 22, 0, 56, -11, 24, -14, 12, 1, -4, -16, 2, 2, 18, -16, 0, -1, 14, 24, -36, 6, 18, 36, -12, -8, 0, 0, 56, -4, -4, 0, 4, 12, 26, -4, 2, -1], "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": "210.2.a.d", "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], [-1], [1], [1], [1], [1], [-1], [0], [1], [2], [1], [-1], [1], [-6], [1], [-4], [-1], [1], [0], [0], [1], [1], [2], [1], [1], [-6], [-1], [-4], [1], [0], [-6], [-1], [1], [2], [-4], [2], [-1], [6], [1], [8], [0], [-1], [0], [-12], [1], [1], [1], [-6], [2], [6], [1], [0], [1], [-4], [-6], [-12], [-1], [2], [-4], [1], [1], [-2], [0], [8], [-6], [0], [-1], [0], [1], [14], [2], [1], [-4], [0], [2], [-16], [-1], [1], [6], [12], [1], [6], [8], [-6], [0], [6], [-1], [2], [0], [-4], [-12], [4], [1], [14], [1], [0], [1]]}