# Stored data for newform 1815.2.a.u, downloaded from the LMFDB on 24 April 2024.
{"label": "1815.2.a.u", "space_label": "1815.2.a", "level": 1815, "weight": 2, "hecke_orbit": 21, "hecke_orbit_code": 90071992580966167, "dim": 4, "is_polredabs": true, "nf_label": "4.4.1125.1", "trace_hash": 314819192841286790, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, 4, -4, -1, 1]], [7, [-5, 15, -10, 0, 1]]], "qexp_display": "q+(-\\beta _{2}-\\beta _{3})q^{2}-q^{3}+\\beta _{1}q^{4}+q^{5}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 7260, "fricke_eigenval": -1, "atkin_lehner_string": "+-+", "analytic_conductor": 14.49284796686239, "hecke_ring_index": 1, "level_radical": 165, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 15, "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": "0.007", "prec": 17}, "analytic_rank_proved": true, "char_values": [1815, 1, [1211, 727, 1696], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 11], "conrey_indexes": [1], "field_disc": 1125, "field_disc_factorization": [[3, 2], [5, 3]], "field_poly": [1, 4, -4, -1, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, {"__RealLiteral__": 0, "data": "3.684", "prec": 17}, {"__RealLiteral__": 0, "data": "0.966", "prec": 17}, {"__RealLiteral__": 0, "data": "37.131", "prec": 20}, {"__RealLiteral__": 0, "data": "30.768", "prec": 20}, {"__RealLiteral__": 0, "data": "588.864", "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], [5, -1], [11, 1]], "trace_display": [1, -4, 4, 0], "traces": [0, 4, 1, -4, 1, 4, -1, 0, -3, 4, 1, 0, -1, 7, -5, -4, -9, 8, 1, 11, 1, 0, 0, 5, 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