# Stored data for newform 2450.4.a.d, downloaded from the LMFDB on 25 April 2024.
{"label": "2450.4.a.d", "space_label": "2450.4.a", "level": 2450, "weight": 4, "hecke_orbit": 4, "hecke_orbit_code": 13510798949222802, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1859963557556354094, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [5, 1]], [11, [57, 1]], [19, [5, 1]], [23, [69, 1]]], "qexp_display": "q-2q^{2}-5q^{3}+4q^{4}+10q^{6}-8q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 39200, "fricke_eigenval": -1, "atkin_lehner_string": "++-", "analytic_conductor": 144.5546795140645, "hecke_ring_index": 1, "level_radical": 70, "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": {"__RealLiteral__": 0, "data": "0.002", "prec": 17}, "analytic_rank_proved": true, "char_values": [2450, 1, [1177, 101], [1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [2, 5, 7], "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": "0.972", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.911", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.751", "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], [5, 1], [7, -1]], "trace_display": [-2, -5, 0, 0], "traces": [0, 1, -2, -5, 4, 0, 10, 0, -8, -2, 0, -57, -20, -70, 0, 0, 16, 51, 4, -5, 0, 0, 114, -69, 40, 0, 140, 145, 0, 114, 0, -23, -32, 285, -102, 0, 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