# Stored data for newform 7935.2.a.ba, downloaded from the LMFDB on 12 October 2026.
{"Nk2": 31740, "analytic_conductor": 63.36129400388599, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [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": [7935, 1, [5291, 4762, 7411], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 25492, "field_disc_factorization": [[2, 2], [6373, 1]], "field_poly": [8, -2, -8, 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": 0, "hecke_cutters": [[2, [8, 2, -8, 0, 1]], [7, [16, 24, -16, -1, 1]], [11, [-46, 49, -5, -5, 1]]], "hecke_orbit": 27, "hecke_orbit_code": 117093590345195263, "hecke_ring_generator_nbound": 7, "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": true, "label": "7935.2.a.ba", "level": 7935, "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": [3, 5, 23], "level_radical": 345, "minimal_twist": "7935.2.a.z", "nf_label": "4.4.25492.1", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+q^{3}+(2+\\beta _{2}+\\beta _{3})q^{4}+q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "7935.2.a", "trace_display": [0, 4, 4, 1], "trace_hash": 805757912334815795, "trace_moments": [0, {"__RealLiteral__": 0, "data": "3.840", "prec": 14}, 0, {"__RealLiteral__": 0, 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