# Stored data for newform 180.2.k.b, downloaded from the LMFDB on 10 November 2025.
{"Nk2": 720, "analytic_conductor": 1.4373072363830468, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 20, "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": [180, 4, [91, 101, 37], [2, 4, 1]], "cm_discs": [-4], "conrey_index": 127, "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": [[7, [0, 1]], [13, [50, -10, 1]], [17, [18, -6, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504286855692468, "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, 4, 2, -1, 2, -4], [1, 1, 5, 3, -1, 4, 0], [1, 1, 20, 5, 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": "180.2.k.b", "level": 180, "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": false, "level_primes": [2, 3, 5], "level_radical": 30, "minimal_twist": "180.2.k.a", "nf_label": "2.0.4.1", "prim_orbit_index": 5, "qexp_display": "q+(i+1)q^{2}+2 i q^{4}+(2 i-1)q^{5}+\\cdots", "related_objects": ["EllipticCurve/2.0.4.1/2025.1/CMa", "EllipticCurve/2.0.4.1/2025.3/CMa"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.1.d4", "self_twist_discs": [-4], "self_twist_type": 1, "space_label": "180.2.k", "trace_display": [2, 0, -2, 0], "trace_hash": 1933889170257957305, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.036", "prec": 17}, {"__RealLiteral__": 0, 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