# Stored data for newform 575.4.a.h, downloaded from the LMFDB on 12 August 2026.
{"Nk2": 9200, "analytic_conductor": 33.92609825330085, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[5, 1], [23, -1]], "atkin_lehner_string": "+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [575, 1, [277, 51], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 109, "field_disc_factorization": [[109, 1]], "field_poly": [-27, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[2, [-3, 1]], [3, [-25, -3, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197458702911, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "575.4.a.h", "level": 575, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [5, 23], "level_radical": 115, "minimal_twist": "115.4.a.c", "nf_label": "2.2.109.1", "prim_orbit_index": 1, "qexp_display": "q+3q^{2}+(2-\\beta )q^{3}+q^{4}+(6-3\\beta )q^{6}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "575.4.a", "trace_display": [6, 3, 0, -1], "trace_hash": 1375620915094539982, "trace_moments": [0, {"__RealLiteral__": 0, "data": "1.943", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "9.888", "prec": 14}, 0, {"__RealLiteral__": 0, "data": "72.167", "prec": 17}], "trace_zratio": 0, 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