# Stored data for newform 2601.2.a.bc, downloaded from the LMFDB on 23 April 2024.
{"label": "2601.2.a.bc", "space_label": "2601.2.a", "level": 2601, "weight": 2, "hecke_orbit": 29, "hecke_orbit_code": 126100789599930921, "dim": 4, "is_polredabs": true, "nf_label": "4.4.2048.1", "trace_hash": 507871041063549239, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[2, [2, 0, -4, 0, 1]], [5, [1, -12, -2, 4, 1]], [7, [2, -16, 20, -8, 1]]], "qexp_display": "q+\\beta _{1}q^{2}+\\beta _{2}q^{4}+(-1+\\beta _{1}+\\beta _{3})q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 10404, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 20.76908956573503, "hecke_ring_index": 1, "level_radical": 51, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 16, "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": "0.018", "prec": 17}, "analytic_rank_proved": true, "char_values": [2601, 1, [290, 2026], [1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 17], "conrey_indexes": [1], "field_disc": 2048, "field_disc_factorization": [[2, 11]], "field_poly": [2, 0, -4, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.853", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "38.630", "prec": 20}, {"__RealLiteral__": 0, "data": "3.276", "prec": 17}, {"__RealLiteral__": 0, "data": "594.656", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [17, -1]], "trace_display": [0, 0, -4, 8], "traces": [0, 4, 0, 0, 0, -4, 0, 8, 0, 0, 8, -4, 0, -4, -8, 0, -8, 0, 0, -12, 0, 0, -8, 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