# Stored data for newform 6762.2.a.cs, downloaded from the LMFDB on 23 April 2024.
{"label": "6762.2.a.cs", "space_label": "6762.2.a", "level": 6762, "weight": 2, "hecke_orbit": 71, "hecke_orbit_code": 315251973949495914, "dim": 4, "is_polredabs": true, "nf_label": "4.4.23252.1", "trace_hash": 1334763777041255625, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [-16, 32, -12, -3, 1]], [11, [32, 0, -24, -2, 1]], [13, [-8, 20, -6, -5, 1]], [17, [-64, 184, -4, -10, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+(1-\\beta _{3})q^{5}+q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 27048, "fricke_eigenval": -1, "atkin_lehner_string": "---+", "analytic_conductor": 53.9948418467898, "hecke_ring_index": 4, "level_radical": 966, "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": "0.010", "prec": 17}, "analytic_rank_proved": true, "char_values": [6762, 1, [2255, 3727, 3823], [1, 1, 1]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 1, "level_primes": [2, 3, 7, 23], "conrey_indexes": [1], "field_disc": 23252, "field_disc_factorization": [[2, 2], [5813, 1]], "field_poly": [2, 0, -6, -1, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.028", "prec": 17}, {"__RealLiteral__": 0, "data": "3.844", "prec": 17}, {"__RealLiteral__": 0, "data": "0.146", "prec": 17}, {"__RealLiteral__": 0, "data": "38.920", "prec": 20}, {"__RealLiteral__": 0, "data": "1.890", "prec": 17}, {"__RealLiteral__": 0, "data": "592.354", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, -1], [3, -1], [7, -1], [23, 1]], "trace_display": [4, 4, 3, 0], "traces": [0, 4, 4, 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