# Stored data for newform 270.4.a.b, downloaded from the LMFDB on 19 April 2024.
{"label": "270.4.a.b", "space_label": "270.4.a", "level": 270, "weight": 4, "hecke_orbit": 2, "hecke_orbit_code": 4503599694479630, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 50681140850616911, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[7, [-8, 1]], [11, [18, 1]]], "qexp_display": "q-2q^{2}+4q^{4}-5q^{5}+8q^{7}-8q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 4320, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 15.930515701549966, "hecke_ring_index": 1, "level_radical": 30, "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": [270, 1, [191, 217], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 3, 5], "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": "1.018", "prec": 17}, {"__RealLiteral__": 0, "data": "0.014", "prec": 17}, {"__RealLiteral__": 0, "data": "2.035", "prec": 17}, {"__RealLiteral__": 0, "data": "0.092", "prec": 17}, {"__RealLiteral__": 0, "data": "5.026", "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]], "trace_display": [-2, 0, -5, 8], "traces": [0, 1, -2, 0, 4, -5, 0, 8, -8, 0, 10, -18, 0, 8, -16, 0, 16, -15, 0, 23, -20, 0, 36, -63, 0, 25, -16, 0, 32, -156, 0, -85, -32, 0, 30, -40, 0, 74, -46, 0, 40, -246, 0, -190, -72, 0, 126, -288, 0, -279, -50, 0, 32, 177, 0, 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