# Stored data for newform 8470.2.a.cs, downloaded from the LMFDB on 22 December 2025.
{"Nk2": 33880, "analytic_conductor": 67.63329051202449, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, -1], [7, -1], [11, -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": [8470, 1, [6777, 6051, 7141], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 4400, "field_disc_factorization": [[2, 4], [5, 2], [11, 1]], "field_poly": [11, 0, -7, 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_cutters": [[3, [5, -10, -1, 4, 1]], [13, [-220, 0, 54, 14, 1]], [17, [-25, 30, 41, 12, 1]], [19, [145, 10, -29, -2, 1]]], "hecke_orbit": 71, "hecke_orbit_code": 315251973949497622, "hecke_ring_generator_nbound": 3, "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": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "8470.2.a.cs", "level": 8470, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5, 7, 11], "level_radical": 770, "minimal_twist": "770.2.n.f", "nf_label": "4.4.4400.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}+(-1+\\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\\cdots)q^{6}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "8470.2.a", "trace_display": [4, -4, 4, 4], "trace_hash": 370693914982393369, "trace_moments": [{"__RealLiteral__": 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