# Stored data for newform 256.9.d.e, downloaded from the LMFDB on 12 January 2026.
{"Nk2": 20736, "analytic_conductor": 104.28892417564856, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 8, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 4, "char_orbit_label": "d", "char_order": 2, "char_parity": -1, "char_values": [256, 2, [255, 5], [1, 1]], "cm_discs": [], "conrey_index": 127, "dim": 4, "field_disc": 24336, "field_disc_factorization": [[2, 4], [3, 2], [13, 2]], "field_poly": [100, 0, -19, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[3, [-9984, 0, 1]]], "hecke_orbit": 5, "hecke_orbit_code": 18014604818907392, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 4096, "hecke_ring_index_factorization": [[2, 12]], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "256.9.d.e", "level": 256, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2], "level_radical": 2, "minimal_twist": "4.9.b.b", "nf_label": "4.0.24336.2", "prim_orbit_index": 4, "qexp_display": "q-\\beta _{2}q^{3}-305\\beta _{1}q^{5}-7\\beta _{3}q^{7}+3423q^{9}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "8.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "256.9.d", "trace_display": [0, 0, 0, 0], "trace_hash": 2021607012218259244, "trace_moments": [{"__RealLiteral__": 0, "data": "0.081", "prec": 17}, {"__RealLiteral__": 0, "data": "3.850", "prec": 17}, {"__RealLiteral__": 0, "data": "1.796", "prec": 17}, {"__RealLiteral__": 0, 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