# Stored data for newform 2025.4.a.ba, downloaded from the LMFDB on 19 September 2025.
{"Nk2": 32400, "analytic_conductor": 119.47886776162474, "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": [2025, 1, [326, 1702], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 7, "field_disc": 2327542925397264, "field_disc_factorization": [[2, 4], [3, 3], [9851, 1], [546932377, 1]], "field_poly": [288, -1200, -460, 479, 74, -44, -2, 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, [-288, -1200, 460, 479, -74, -44, 2, 1]], [7, [-210450744, -68052735, 4867848, 650337, -26142, -1571, 22, 1]], [11, [-20019444768, -2234576400, 4473656, 5647316, 46184, -4166, -23, 1]]], "hecke_orbit": 27, "hecke_orbit_code": 117093590378743785, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 486, "hecke_ring_index_factorization": [[2, 1], [3, 5]], "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": "2025.4.a.ba", "level": 2025, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [3, 5], "level_radical": 15, "minimal_twist": "45.4.e.c", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(5+\\beta _{2})q^{4}+(-3+\\beta _{5})q^{7}+\\cdots", "related_objects": [], "relative_dim": 7, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "2025.4.a", "trace_display": [-2, 0, 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