# Stored data for newform 624.4.c.a, downloaded from the LMFDB on 21 December 2025.
{"Nk2": 9984, "analytic_conductor": 36.817191843582144, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 13, "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": [624, 2, [79, 469, 209, 145], [2, 2, 2, 1]], "cm_discs": [], "conrey_index": 337, "dim": 2, "field_disc": -3, "field_disc_factorization": [[-1, 1], [3, 1]], "field_poly": [1, -1, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 6, "has_non_self_twist": 1, "hecke_cutters": [[5, [48, 0, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 137506062960, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 4, "hecke_ring_index_factorization": [[2, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 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": false, "label": "624.4.c.a", "level": 624, "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, 13], "level_radical": 78, "minimal_twist": "156.4.b.a", "nf_label": "2.0.3.1", "prim_orbit_index": 2, "qexp_display": "q-3 q^{3}-2\\beta q^{5}+3\\beta q^{7}+9 q^{9}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "624.4.c", "trace_display": [0, -6, 0, 0], "trace_hash": 670601213179736298, "trace_moments": [{"__RealLiteral__": 0, "data": "0.089", "prec": 17}, {"__RealLiteral__": 0, "data": "1.958", "prec": 17}, {"__RealLiteral__": 0, "data": "1.077", "prec": 17}, {"__RealLiteral__": 0, "data": "15.803", "prec": 20}, {"__RealLiteral__": 0, "data": "13.212", 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