# Stored data for newform 6762.2.a.ct, downloaded from the LMFDB on 25 April 2024.
{"label": "6762.2.a.ct", "space_label": "6762.2.a", "level": 6762, "weight": 2, "hecke_orbit": 72, "hecke_orbit_code": 319755573576866410, "dim": 4, "is_polredabs": true, "nf_label": "4.4.2624.1", "trace_hash": 1992309569132343476, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [2, -4, 1]], [11, [16, 48, -20, -4, 1]], [13, [-112, 16, 36, -12, 1]], [17, [-16, -48, -12, 4, 1]]], "qexp_display": "q+q^{2}+q^{3}+q^{4}+(2+\\beta _{1})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": "0.013", "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": 2624, "field_disc_factorization": [[2, 6], [41, 1]], "field_poly": [1, 2, -3, -2, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.016", "prec": 17}, {"__RealLiteral__": 0, "data": "4.043", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "44.982", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "787.213", "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, 8, 0], "traces": [0, 4, 4, 4, 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