# Stored data for newform 7935.2.a.i, downloaded from the LMFDB on 23 April 2024.
{"label": "7935.2.a.i", "space_label": "7935.2.a", "level": 7935, "weight": 2, "hecke_orbit": 9, "hecke_orbit_code": 36028797052526335, "dim": 1, "is_polredabs": true, "nf_label": "1.1.1.1", "trace_hash": 1256892091577714846, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [0, 1]], [7, [-3, 1]], [11, [-4, 1]]], "qexp_display": "q+q^{3}-2q^{4}+q^{5}+3q^{7}+q^{9}+4q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 31740, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 63.36129400388599, "hecke_ring_index": 1, "level_radical": 345, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [7935, 1, [5291, 4762, 7411], [1, 1, 1]], "hecke_ring_generator_nbound": 1, "inner_twist_count": 1, "level_primes": [3, 5, 23], "conrey_indexes": [1], "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.004", "prec": 17}, {"__RealLiteral__": 0, "data": "0.990", "prec": 17}, {"__RealLiteral__": 0, "data": "0.015", "prec": 17}, {"__RealLiteral__": 0, "data": "1.999", "prec": 17}, {"__RealLiteral__": 0, "data": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "5.067", "prec": 17}], "related_objects": ["EllipticCurve/Q/7935/i"], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 1, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1], [23, -1]], "trace_display": [0, 1, 1, 3], "traces": [0, 1, 0, 1, -2, 1, 0, 3, 0, 1, 0, 4, -2, 0, 0, 1, 4, 3, 0, 8, -2, 3, 0, 0, 0, 1, 0, 1, -6, 9, 0, -5, 0, 4, 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