# Stored data for newform 200.2.k.a, downloaded from the LMFDB on 15 June 2025.
{"Nk2": 800, "analytic_conductor": 1.5970080404256077, "analytic_rank": 1, "analytic_rank_proved": true, "char_conductor": 40, "char_degree": 2, "char_is_minimal": true, "char_is_real": false, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 4, "char_parity": 1, "char_values": [200, 4, [151, 101, 177], [2, 2, 3]], "cm_discs": [-8], "conrey_index": 43, "dim": 2, "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 4, "has_non_self_twist": 1, "hecke_cutters": [[3, [8, 4, 1]], [7, [0, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 687228321992, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 4, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8], [1, 1, 5, 3, -1, 4, 0], [1, 1, 40, 11, 1, 4, 0]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": true, "is_twist_minimal": true, "label": "200.2.k.a", "level": 200, "level_is_powerful": true, "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, 5], "level_radical": 10, "minimal_twist": "200.2.k.a", "nf_label": "2.0.4.1", "prim_orbit_index": 11, "qexp_display": "q+(-i-1)q^{2}+(2 i-2)q^{3}+2 i q^{4}+\\cdots", "related_objects": ["Genus2Curve/Q/40000/e"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.1.d4", "self_twist_discs": [-8], "self_twist_type": 1, "space_label": "200.2.k", "trace_display": [-2, -4, 0, 0], "trace_hash": 351152264670607119, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.961", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "16.977", 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