# Stored data for newform 240.9.c.b, downloaded from the LMFDB on 15 November 2025.
{"Nk2": 19440, "analytic_conductor": 97.77086641467054, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 15, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 3, "char_orbit_label": "c", "char_order": 2, "char_parity": -1, "char_values": [240, 2, [31, 181, 161, 97], [2, 2, 1, 1]], "cm_discs": [-15], "conrey_index": 209, "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, "has_non_self_twist": 0, "hecke_cutters": [[7, [0, 1]], [17, [-21118, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503737217319152, "hecke_ring_generator_nbound": 1, "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, 15, 4, -1, 2, -15]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": true, "is_twist_minimal": false, "label": "240.9.c.b", "level": 240, "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": "15.9.d.a", "nf_label": "1.1.1.1", "prim_orbit_index": 4, "qexp_display": "q+3^{4}q^{3}-5^{4}q^{5}+3^{8}q^{9}-15^{4}q^{15}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "8.2.1.d2", "self_twist_discs": [-15], "self_twist_type": 1, "space_label": "240.9.c", "trace_display": [0, 81, -625, 0], "trace_hash": 192315780364260799, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.993", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.957", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", 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