# Stored data for newform 1800.4.a.bn, downloaded from the LMFDB on 02 December 2024.
{"Nk2": 28800, "analytic_conductor": 106.2034380103331, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, -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": [1800, 1, [1351, 901, 1001, 577], [1, 1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 129, "field_disc_factorization": [[3, 1], [43, 1]], "field_poly": [-32, -1, 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": [[7, [-1160, -2, 1]], [11, [1240, 74, 1]], [17, [-1704, 78, 1]]], "hecke_orbit": 40, "hecke_orbit_code": 175640385534560008, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "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": "1800.4.a.bn", "level": 1800, "level_is_powerful": true, "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, 3, 5], "level_radical": 30, "minimal_twist": "120.4.f.d", "nf_label": "2.2.129.1", "prim_orbit_index": 1, "qexp_display": "q+(1+3\\beta )q^{7}+(-37+\\beta )q^{11}+(-7^{2}+\\cdots)q^{13}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1800.4.a", "trace_display": [0, 0, 0, 2], "trace_hash": 1645188021156487660, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.980", 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