# Stored data for newform 1380.4.a.a, downloaded from the LMFDB on 19 April 2024.
{"label": "1380.4.a.a", "space_label": "1380.4.a", "level": 1380, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 67110244, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1763548513593551910, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[7, [16, 1]]], "qexp_display": "q-3q^{3}-5q^{5}-2^{4}q^{7}+9q^{9}+30q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 22080, "fricke_eigenval": -1, "atkin_lehner_string": "-+++", "analytic_conductor": 81.42263580792205, "hecke_ring_index": 1, "level_radical": 690, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [1380, 1, [691, 461, 277, 1201], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5, 23], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.979", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.910", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.674", "prec": 17}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "3.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, 1], [5, 1], [23, 1]], "trace_display": [0, -3, -5, -16], "traces": [0, 1, 0, -3, 0, -5, 0, -16, 0, 9, 0, 30, 0, -28, 0, 15, 0, 78, 0, -52, 0, 48, 0, -23, 0, 25, 0, -27, 0, -252, 0, 200, 0, -90, 0, 80, 0, 146, 0, 84, 0, 438, 0, -46, 0, -45, 0, 588, 0, -87, 0, -234, 0, 438, 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