# Stored data for newform 2535.2.a.bb, downloaded from the LMFDB on 23 April 2024.
{"label": "2535.2.a.bb", "space_label": "2535.2.a", "level": 2535, "weight": 2, "hecke_orbit": 28, "hecke_orbit_code": 121597189972560359, "dim": 3, "is_polredabs": true, "nf_label": "3.3.756.1", "trace_hash": 1371262241189887779, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [-2, -6, 0, 1]], [7, [3, -3, -3, 1]], [11, [16, -24, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-q^{3}+(2+\\beta _{2})q^{4}+q^{5}-\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10140, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 20.242076912394577, "hecke_ring_index": 1, "level_radical": 195, "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": "0.025", "prec": 17}, "analytic_rank_proved": true, "char_values": [2535, 1, [1691, 1522, 1861], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 13], "conrey_indexes": [1], "field_disc": 756, "field_disc_factorization": [[2, 2], [3, 3], [7, 1]], "field_poly": [-2, -6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "2.809", "prec": 17}, {"__RealLiteral__": 0, "data": "0.504", "prec": 17}, {"__RealLiteral__": 0, "data": "21.041", "prec": 20}, {"__RealLiteral__": 0, "data": "11.638", "prec": 20}, {"__RealLiteral__": 0, "data": "235.045", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, 1], [5, -1], [13, 1]], "trace_display": [0, -3, 3, 3], "traces": [0, 3, 0, -3, 6, 3, 0, 3, 6, 3, 0, 0, -6, 0, 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