# Stored data for newform 1470.2.g.j, downloaded from the LMFDB on 24 April 2024. {"label": "1470.2.g.j", "space_label": "1470.2.g", "level": 1470, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40532808996750782, "dim": 8, "is_polredabs": true, "nf_label": "8.0.1698758656.6", "trace_hash": 878690849034593068, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [32, -16, -18, 0, 1]], [17, [15376, 0, 8000, 0, 1336, 0, 80, 0, 1]], [19, [-448, 224, 12, -12, 1]]], "qexp_display": "q-\\beta _{5}q^{2}-\\beta _{5}q^{3}-q^{4}+(-1+\\beta _{7})q^{5}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "g", "char_is_real": true, "Nk2": 5880, "analytic_conductor": 11.738009097128216, "hecke_ring_index": 4, "level_radical": 210, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.518", "prec": 17}, "analytic_rank_proved": true, "char_values": [1470, 2, [491, 1177, 1081], [2, 1, 2]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [589], "field_disc": 1698758656, "field_disc_factorization": [[2, 16], [7, 2], [23, 2]], "field_poly": [64, 0, 176, 0, 97, 0, 18, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "7.601", "prec": 17}, {"__RealLiteral__": 0, "data": "1.971", "prec": 17}, {"__RealLiteral__": 0, "data": "306.775", "prec": 24}, {"__RealLiteral__": 0, "data": "376.344", "prec": 24}, {"__RealLiteral__": 0, "data": "18468.309", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c2", "trace_display": [0, 0, -4, 0], "traces": 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