# Stored data for newform 4235.2.a.bc, downloaded from the LMFDB on 25 April 2024.
{"label": "4235.2.a.bc", "space_label": "4235.2.a", "level": 4235, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599932555, "dim": 5, "is_polredabs": true, "nf_label": "5.5.288385.1", "trace_hash": 1172304876605339094, "analytic_rank": 1, "is_twist_minimal": true, "hecke_cutters": [[2, [-3, 10, 2, -7, 0, 1]], [3, [-1, 1, 19, -9, -2, 1]], [13, [-169, -260, -119, -8, 6, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{4})q^{3}+(1+\\beta _{2})q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 16940, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 33.816645256012244, "hecke_ring_index": 1, "level_radical": 385, "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": "0.004", "prec": 17}, "analytic_rank_proved": true, "char_values": [4235, 1, [2542, 1816, 2906], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [5, 7, 11], "conrey_indexes": [1], "field_disc": 288385, "field_disc_factorization": [[5, 1], [137, 1], [421, 1]], "field_poly": [3, 10, -2, -7, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "4.753", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "65.142", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1354.977", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[5, -1], [7, 1], [11, -1]], "trace_display": [0, 2, 5, -5], "traces": [0, 5, 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