# Stored data for newform 7623.2.a.bc, downloaded from the LMFDB on 19 April 2024.
{"label": "7623.2.a.bc", "space_label": "7623.2.a", "level": 7623, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599935943, "dim": 2, "is_polredabs": true, "nf_label": "2.2.13.1", "trace_hash": 183236388753399421, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [-3, 1, 1]], [5, [-13, 0, 1]], [13, [-4, -6, 1]]], "qexp_display": "q-\\beta q^{2}+(1+\\beta )q^{4}+(1-2\\beta )q^{5}-q^{7}+\\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": 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": [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": 13, "field_disc_factorization": [[13, 1]], "field_poly": [-3, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.889", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.652", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "55.076", "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": [-1, 0, 0, -2], "traces": [0, 2, -1, 0, 3, 0, 0, -2, -6, 0, 13, 0, 0, 6, 1, 0, -3, -9, 0, -6, -13, 0, 0, 9, 0, 16, -16, 0, -3, -13, 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