# Stored data for newform 1575.2.a.v, downloaded from the LMFDB on 19 April 2024.
{"label": "1575.2.a.v", "space_label": "1575.2.a", "level": 1575, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208336423, "dim": 2, "is_polredabs": true, "nf_label": "2.2.5.1", "trace_hash": 1879176218364744034, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [1, -3, 1]], [11, [-19, -2, 1]], [13, [4, 6, 1]]], "qexp_display": "q+(1+\\beta )q^{2}+3\\beta q^{4}+q^{7}+(1+4\\beta )q^{8}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 6300, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 12.576438318351661, "hecke_ring_index": 1, "level_radical": 105, "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": "0.016", "prec": 17}, "analytic_rank_proved": true, "char_values": [1575, 1, [1226, 127, 451], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 7], "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": "0.001", "prec": 17}, {"__RealLiteral__": 0, "data": "1.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8.864", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "56.274", "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], [5, -1], [7, -1]], "trace_display": [3, 0, 0, 2], "traces": [0, 2, 3, 0, 3, 0, 0, 2, 6, 0, 0, 2, 0, -6, 3, 0, 13, -2, 0, -2, 0, 0, 13, 10, 0, 0, -4, 0, 3, 4, 0, 0, 15, 0, 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