# Stored data for newform 10470.2.a.b, downloaded from the LMFDB on 15 August 2026.
{"Nk2": 41880, "analytic_conductor": 83.60337091628057, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -1], [349, 1]], "atkin_lehner_string": "+--+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [10470, 1, [3491, 8377, 3841], [2, 2, 2]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_orbit": 2, "hecke_orbit_code": 4503599660935398, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "10470.2.a.b", "level": 10470, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "level_primes": [2, 3, 5, 349], "level_radical": 10470, "minimal_twist": "10470.2.a.b", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\\cdots", "related_objects": ["EllipticCurve/Q/10470/b"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "10470.2.a", "trace_display": [-1, 1, 1, 1], "traces": [0, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -4, 1, -3, -1, 1, 1, 7, -1, 5, 1, 1, 4, -3, -1, 1, 3, 1, 1, 2, -1, -1, -1, -4, -7, 1, 1, -10, -5, -3, -1, 2, -1, -8, -4, 1, 3, -12, 1, -6, -1, 7, -3, -8, -1, -4, -1, 5, -2, -9, 1, 0, 1, 1, 1, -3, 4, -4, 7, -3, -1, 5, -1, -2, 10, 1, 5, -4, 3, -10, 1, 1, -2, 7, 1, 7, 8, 2, 4, -9, -1, -3, -3, -1, 12, 5, -1, -6, 6, -4, 1], "weight": 2, "weight_parity": 1, "id": null, "analytic_rank": null, "analytic_rank_proved": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "hecke_cutters": null, "level_is_powerful": null, "level_is_prime_square": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "trace_hash": null, "trace_moments": null, "trace_zratio": null, "qexp": [[0], 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -4, 1, -3, -1, 1, 1, 7, -1, 5, 1, 1, 4, -3, -1, 1, 3, 1, 1, 2, -1, -1, -1, -4, -7, 1, 1, -10, -5, -3, -1, 2, -1, -8, -4, 1, 3, -12, 1, -6, -1, 7, -3, -8, -1, -4, -1, 5, -2, -9, 1, 0, 1, 1, 1, -3, 4, -4, 7, -3, -1, 5, -1, -2, 10, 1, 5, -4, 3, -10, 1, 1, -2, 7, 1, 7, 8, 2, 4, -9, -1, -3, -3, -1, 12, 5, -1, -6, 6, -4, 1]}