# Stored data for newform 280.6.a.c, downloaded from the LMFDB on 23 April 2024.
{"label": "280.6.a.c", "space_label": "280.6.a", "level": 280, "weight": 6, "hecke_orbit": 3, "hecke_orbit_code": 9007199355404568, "dim": 2, "is_polredabs": true, "nf_label": "2.2.109.1", "trace_hash": 1564098614887010046, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[3, [-435, -2, 1]]], "qexp_display": "q+(1+\\beta )q^{3}+5^{2}q^{5}-7^{2}q^{7}+(194+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10080, "fricke_eigenval": 1, "atkin_lehner_string": "--+", "analytic_conductor": 44.90746954763458, "hecke_ring_index": 4, "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": 0, "analytic_rank_proved": true, "char_values": [280, 1, [71, 141, 57, 241], [1, 1, 1, 1]], "hecke_ring_generator_nbound": 3, "inner_twist_count": 1, "level_primes": [2, 5, 7], "conrey_indexes": [1], "field_disc": 109, "field_disc_factorization": [[109, 1]], "field_poly": [-27, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.042", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.648", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "78.240", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "5.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [5, -1], [7, 1]], "trace_display": [0, 2, 50, -98], "traces": [0, 2, 0, 2, 0, 50, 0, -98, 0, 388, 0, -254, 0, -1342, 0, 50, 0, -1786, 0, 1976, 0, -98, 0, -2112, 0, 1250, 0, 1646, 0, -4762, 0, 13692, 0, -15950, 0, -2450, 0, 2136, 0, -9190, 0, 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