# Stored data for newform 7623.2.a.cs, downloaded from the LMFDB on 26 April 2024.
{"label": "7623.2.a.cs", "space_label": "7623.2.a", "level": 7623, "weight": 2, "hecke_orbit": 71, "hecke_orbit_code": 315251973949496775, "dim": 6, "is_polredabs": true, "nf_label": "6.6.7674048.1", "trace_hash": 769726071327609071, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -8, -4, 12, 0, -4, 1]], [5, [1, -8, -1, 36, -9, -4, 1]], [13, [16, 32, -36, -72, -19, 4, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+(1-\\beta _{1}+\\beta _{2})q^{4}+(1+\\cdots)q^{5}+\\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": "0.014", "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": 7674048, "field_disc_factorization": [[2, 6], [3, 3], [4441, 1]], "field_poly": [-2, -6, 7, 8, -5, -2, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.055", "prec": 17}, {"__RealLiteral__": 0, "data": "5.620", "prec": 17}, {"__RealLiteral__": 0, "data": "1.289", "prec": 17}, {"__RealLiteral__": 0, "data": "82.833", "prec": 20}, {"__RealLiteral__": 0, "data": "35.935", "prec": 20}, {"__RealLiteral__": 0, "data": "1788.677", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [7, 1], [11, 1]], "trace_display": [4, 0, 4, -6], 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