# Stored data for newform 126.8.a.j, downloaded from the LMFDB on 13 January 2026.
{"Nk2": 8064, "analytic_conductor": 39.36051321099934, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [7, 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": [126, 1, [29, 73], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 1996, "field_disc_factorization": [[2, 2], [499, 1]], "field_poly": [-499, 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": [[5, [-17180, -56, 1]]], "hecke_orbit": 10, "hecke_orbit_code": 40532396780552318, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 6, "hecke_ring_index_factorization": [[2, 1], [3, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": true, "label": "126.8.a.j", "level": 126, "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": [2, 3, 7], "level_radical": 42, "minimal_twist": "126.8.a.j", "nf_label": "2.2.1996.1", "prim_orbit_index": 1, "qexp_display": "q-8q^{2}+2^{6}q^{4}+(28+\\beta )q^{5}-7^{3}q^{7}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "7.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "126.8.a", "trace_display": [-16, 0, 56, -686], "trace_hash": 1720737957420849215, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.956", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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