# Stored data for newform 2205.4.a.bq, downloaded from the LMFDB on 08 October 2025.
{"Nk2": 35280, "analytic_conductor": 130.09921156265804, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, -1], [7, 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": [2205, 1, [1226, 442, 1081], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 51264, "field_disc_factorization": [[2, 6], [3, 2], [89, 1]], "field_poly": [46, 16, -15, -2, 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": [[2, [-56, 72, -7, -6, 1]], [11, [-10808, 2808, -58, -24, 1]], [13, [1024, -3072, -1096, 0, 1]], [17, [-1153424, 213488, -1530, -88, 1]]], "hecke_orbit": 43, "hecke_orbit_code": 189151184416671901, "hecke_ring_generator_nbound": 19, "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": false, "label": "2205.4.a.bq", "level": 2205, "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": [3, 5, 7], "level_radical": 105, "minimal_twist": "735.4.a.t", "nf_label": "4.4.51264.1", "prim_orbit_index": 1, "qexp_display": "q+(2-\\beta _{1}-\\beta _{2})q^{2}+(6-\\beta _{1}-\\beta _{2}+2\\beta _{3})q^{4}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2205.4.a", "trace_display": [6, 0, 20, 0], "trace_hash": 1187043400779410687, "trace_moments": 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