# Stored data for newform 26.12.a.d, downloaded from the LMFDB on 24 September 2025.
{"Nk2": 3744, "analytic_conductor": 19.976922694549312, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [13, -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": [26, 1, [15], [1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 1949025738696154793185, "field_disc_factorization": [[5, 1], [7, 1], [57493, 1], [968577908215487, 1]], "field_poly": [60501589200, -65654928, -679393, 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": [[3, [60501589200, 65654928, -679393, 0, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510799083438106, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 8, "hecke_ring_index_factorization": [[2, 3]], "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": "26.12.a.d", "level": 26, "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": true, "level_primes": [2, 13], "level_radical": 26, "minimal_twist": "26.12.a.d", "prim_orbit_index": 1, "qexp_display": "q+2^{5}q^{2}-\\beta _{1}q^{3}+2^{10}q^{4}+(173-9\\beta _{1}+\\cdots)q^{5}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "11.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "26.12.a", "trace_display": [128, 0, 694, -5844], "trace_hash": 1303348710161078769, "trace_moments": [{"__RealLiteral__": 0, "data": "0.112", "prec": 17}, {"__RealLiteral__": 0, 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