# Stored data for newform 5850.2.a.d, downloaded from the LMFDB on 07 September 2025.
{"Nk2": 23400, "analytic_conductor": 46.71248518244902, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, -1], [5, 1], [13, 1]], "atkin_lehner_string": "+-++", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [5850, 1, [3251, 3277, 2251], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "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, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[7, [4, 1]], [11, [-4, 1]], [17, [-2, 1]], [23, [0, 1]], [31, [4, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13510798915671770, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "5850.2.a.d", "level": 5850, "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, 13], "level_radical": 390, "minimal_twist": "78.2.a.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+q^{4}-4q^{7}-q^{8}+4q^{11}-q^{13}+\\cdots", "related_objects": ["EllipticCurve/Q/5850/d"], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "5850.2.a", "trace_display": [-1, 0, 0, -4], "trace_hash": 308595188098084157, "trace_moments": [{"__RealLiteral__": 0, "data": "0.050", "prec": 17}, {"__RealLiteral__": 0, "data": "0.996", "prec": 17}, 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