# Stored data for newform 7623.2.a.by, downloaded from the LMFDB on 24 April 2024.
{"label": "7623.2.a.by", "space_label": "7623.2.a", "level": 7623, "weight": 2, "hecke_orbit": 51, "hecke_orbit_code": 225179981402086855, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 262108926858053318, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -3, 1]], [5, [-1, 1, 1]], [13, [-19, 2, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+3\\beta q^{4}-\\beta q^{5}-q^{7}+(1+\\cdots)q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30492, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 60.86996146082204, "hecke_ring_index": 1, "level_radical": 231, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 10, "field_poly_is_real_cyclotomic": true, "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": "0.014", "prec": 17}, "analytic_rank_proved": true, "char_values": [7623, 1, [848, 4357, 4600], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 7, 11], "conrey_indexes": [1], "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.010", "prec": 17}, {"__RealLiteral__": 0, "data": "1.942", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.346", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "62.606", "prec": 20}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 2, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, 1], [11, -1]], "trace_display": [3, 0, -1, -2], "traces": [0, 2, 3, 0, 3, -1, 0, -2, 6, 0, -4, 0, 0, -2, -3, 0, 13, -6, 0, -8, -9, 0, 0, 10, 0, -7, 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