# Stored data for newform 6762.2.a.cm, downloaded from the LMFDB on 25 April 2024.
{"label": "6762.2.a.cm", "space_label": "6762.2.a", "level": 6762, "weight": 2, "hecke_orbit": 65, "hecke_orbit_code": 288230376185272938, "dim": 4, "is_polredabs": true, "nf_label": "4.4.42048.1", "trace_hash": 893187576372646998, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [-7, -2, 1]], [11, [-188, 156, -19, -6, 1]], [13, [-2, -36, -1, 6, 1]], [17, [-146, 68, 15, -10, 1]]], "qexp_display": "q+q^{2}-q^{3}+q^{4}+(1-\\beta _{2})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": 2, "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": 13, "inner_twist_count": 1, "level_primes": [2, 3, 7, 23], "conrey_indexes": [1], "field_disc": 42048, "field_disc_factorization": [[2, 6], [3, 2], [73, 1]], "field_poly": [34, 8, -13, -2, 1], "hecke_ring_index_factorization": [[2, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.032", "prec": 17}, {"__RealLiteral__": 0, "data": "3.932", "prec": 17}, {"__RealLiteral__": 0, "data": "1.135", "prec": 17}, {"__RealLiteral__": 0, "data": "42.745", "prec": 20}, {"__RealLiteral__": 0, "data": "28.541", "prec": 20}, {"__RealLiteral__": 0, "data": "677.325", "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, 4, 0], "traces": 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