# Stored data for newform 1024.4.a.j, downloaded from the LMFDB on 14 October 2025.
{"Nk2": 16384, "analytic_conductor": 60.41795584587839, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1]], "atkin_lehner_string": "+", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [1024, 1, [1023, 5], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 473344, "field_disc_factorization": [[2, 8], [43, 2]], "field_poly": [441, 0, -44, 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": [[3, [-34, -6, 1]], [5, [2916, 0, -236, 0, 1]], [7, [1296, 0, -272, 0, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396713444352, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 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": "1024.4.a.j", "level": 1024, "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": "256.4.e.a", "nf_label": "4.4.473344.2", "prim_orbit_index": 1, "qexp_display": "q+(3-\\beta _{3})q^{3}+(-4\\beta _{1}+\\beta _{2})q^{5}+(5\\beta _{1}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1024.4.a", "trace_display": [0, 12, 0, 0], "trace_hash": 2295660152770049007, "trace_moments": [{"__RealLiteral__": 0, "data": "0.123", "prec": 17}, {"__RealLiteral__": 0, 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