# Stored data for newform 1425.2.a.v, downloaded from the LMFDB on 24 April 2024.
{"label": "1425.2.a.v", "space_label": "1425.2.a", "level": 1425, "weight": 2, "hecke_orbit": 22, "hecke_orbit_code": 94575592208336273, "dim": 3, "is_polredabs": true, "nf_label": "3.3.621.1", "trace_hash": 2292708412877160582, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [3, -6, 0, 1]], [7, [4, -9, 0, 1]], [11, [-12, -6, 3, 1]]], "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(2+\\beta _{1}+\\beta _{2})q^{4}-\\beta _{1}q^{6}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5700, "fricke_eigenval": -1, "atkin_lehner_string": "---", "analytic_conductor": 11.378682288032454, "hecke_ring_index": 1, "level_radical": 285, "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": "0.034", "prec": 17}, "analytic_rank_proved": true, "char_values": [1425, 1, [476, 1027, 1351], [1, 1, 1]], "hecke_ring_generator_nbound": 2, "inner_twist_count": 1, "level_primes": [3, 5, 19], "conrey_indexes": [1], "field_disc": 621, "field_disc_factorization": [[3, 3], [23, 1]], "field_poly": [-3, -6, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.875", "prec": 17}, {"__RealLiteral__": 0, "data": "0.314", "prec": 17}, {"__RealLiteral__": 0, "data": "22.389", "prec": 20}, {"__RealLiteral__": 0, "data": "10.060", "prec": 20}, {"__RealLiteral__": 0, "data": "258.621", "prec": 24}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 3, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[3, -1], [5, -1], [19, -1]], "trace_display": [0, 3, 0, 0], "traces": [0, 3, 0, 3, 6, 0, 0, 0, -9, 3, 0, -3, 6, 6, 3, 0, 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