# Stored data for newform 1881.2.a.i, downloaded from the LMFDB on 22 December 2024.
{"Nk2": 7524, "analytic_conductor": 15.01986062020284, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [11, 1], [19, 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": [1881, 1, [1046, 343, 496], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 3, "field_disc": 321, "field_disc_factorization": [[3, 1], [107, 1]], "field_poly": [1, -4, -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": [[2, [3, -3, -2, 1]], [5, [7, -6, -3, 1]]], "hecke_orbit": 9, "hecke_orbit_code": 36028797052520281, "hecke_ring_generator_nbound": 2, "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": "1881.2.a.i", "level": 1881, "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, 11, 19], "level_radical": 627, "minimal_twist": "627.2.a.e", "nf_label": "3.3.321.1", "prim_orbit_index": 1, "qexp_display": "q+(1-\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+(1+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 3, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1881.2.a", "trace_display": [2, 0, 3, -7], "trace_hash": 885686504559678269, "trace_moments": [{"__RealLiteral__": 0, "data": "0.026", "prec": 17}, {"__RealLiteral__": 0, "data": "2.912", "prec": 17}, {"__RealLiteral__": 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