# Stored data for newform 185.2.k.a, downloaded from the LMFDB on 12 May 2026.
{"Nk2": 740, "analytic_conductor": 1.4772324373936871, "analytic_rank": 1, "analytic_rank_proved": true, "char_conductor": 185, "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": [185, 4, [112, 76], [3, 1]], "cm_discs": [], "conrey_index": 68, "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": [[2, [1, 1]], [3, [8, 4, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 687228321977, "hecke_ring_generator_nbound": 9, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 185, 11, 1, 4, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "185.2.k.a", "level": 185, "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": [5, 37], "level_radical": 185, "minimal_twist": "185.2.f.b", "nf_label": "2.0.4.1", "prim_orbit_index": 11, "qexp_display": "q-q^{2}+(2 i-2)q^{3}-q^{4}+(2 i-1)q^{5}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c4", "self_twist_discs": [], "self_twist_type": 0, "space_label": "185.2.k", "trace_display": [-2, -4, -2, 0], "trace_hash": 1334448538275781090, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.980", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.305", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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