# Stored data for newform 5070.2.b.ba, downloaded from the LMFDB on 24 April 2024. {"label": "5070.2.b.ba", "space_label": "5070.2.b", "level": 5070, "weight": 2, "hecke_orbit": 27, "hecke_orbit_code": 117093659064669134, "dim": 8, "is_polredabs": true, "nf_label": "8.0.17284886784.1", "trace_hash": 438405798427414550, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [2704, 0, 2376, 0, 545, 0, 42, 0, 1]], [11, [32761, 0, 16152, 0, 1766, 0, 72, 0, 1]], [17, [4, 1]], [31, [913936, 0, 158088, 0, 8777, 0, 174, 0, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}-q^{4}+\\beta _{1}q^{5}-\\beta _{1}q^{6}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 13, "char_orbit_label": "b", "char_is_real": true, "Nk2": 20280, "analytic_conductor": 40.48415382478915, "hecke_ring_index": 16, "level_radical": 390, "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": [5070, 2, [1691, 4057, 1861], [2, 2, 1]], "hecke_ring_generator_nbound": 23, "inner_twist_count": 2, "level_primes": [2, 3, 5, 13], "conrey_indexes": [1351], "field_disc": 17284886784, "field_disc_factorization": [[2, 8], [3, 4], [11, 2], [83, 2]], "field_poly": [2704, 208, 8, 36, 185, 30, 2, -2, 1], "hecke_ring_index_factorization": [[2, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "6.905", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "252.264", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "13573.455", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 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