# Stored data for newform 1369.2.a.a, downloaded from the LMFDB on 29 September 2025.
{"Nk2": 5476, "analytic_conductor": 10.931520036713284, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[37, -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": [1369, 1, [2], [1]], "cm_discs": [], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [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": [[2, [2, 1]], [3, [-1, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 33555801, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "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": "1369.2.a.a", "level": 1369, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": true, "level_is_square": true, "level_is_squarefree": false, "level_primes": [37], "level_radical": 37, "minimal_twist": "37.2.b.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-2q^{2}+q^{3}+2q^{4}-2q^{5}-2q^{6}+\\cdots", "related_objects": ["EllipticCurve/Q/1369/a"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1369.2.a", "trace_display": [-2, 1, -2, 3], "trace_hash": 1383425924412366755, "trace_moments": [{"__RealLiteral__": 0, "data": "0.002", "prec": 17}, {"__RealLiteral__": 0, "data": "0.977", "prec": 17}, {"__RealLiteral__": 0, "data": "0.025", "prec": 17}, {"__RealLiteral__": 0, "data": "1.905", "prec": 17}, 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