# Stored data for newform 675.4.a.ba, downloaded from the LMFDB on 13 December 2025.
{"Nk2": 10800, "analytic_conductor": 39.82628925387491, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, 1], [5, -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": [675, 1, [326, 352], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 467024, "field_disc_factorization": [[2, 4], [17, 2], [101, 1]], "field_poly": [101, 0, -26, 0, 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": 1, "hecke_cutters": [[2, [-2, -3, 1]], [7, [32724, 0, -927, 0, 1]]], "hecke_orbit": 27, "hecke_orbit_code": 117093590378742435, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 18, "hecke_ring_index_factorization": [[2, 1], [3, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 15, 4, -1, 2, 0]], "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": "675.4.a.ba", "level": 675, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 5], "level_radical": 15, "minimal_twist": "135.4.b.b", "nf_label": "4.4.467024.1", "prim_orbit_index": 1, "qexp_display": "q+(2+\\beta _{3})q^{2}+3\\beta _{3}q^{4}+\\beta _{2}q^{7}+(-4+\\cdots)q^{8}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "675.4.a", "trace_display": [6, 0, 0, 0], "trace_hash": 133920726702008673, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": 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