# Stored data for newform 1936.4.a.ba, downloaded from the LMFDB on 10 July 2026.
{"Nk2": 30976, "analytic_conductor": 114.22769777111382, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [11, 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": [1936, 1, [1695, 485, 849], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 104, "field_disc_factorization": [[2, 3], [13, 1]], "field_poly": [-26, 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, [-5, 1]], [5, [-5, 1]], [7, [-416, 0, 1]]], "hecke_orbit": 27, "hecke_orbit_code": 117093590378743696, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 2, -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": "1936.4.a.ba", "level": 1936, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 11], "level_radical": 22, "minimal_twist": "121.4.a.d", "nf_label": "2.2.104.1", "prim_orbit_index": 1, "qexp_display": "q+5q^{3}+5q^{5}+\\beta q^{7}-2q^{9}-3\\beta q^{13}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1936.4.a", "trace_display": [0, 10, 10, 0], "trace_hash": 1496942823161404264, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.893", "prec": 17}, 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