# Stored data for newform 1850.2.a.be, downloaded from the LMFDB on 21 May 2025.
{"Nk2": 7400, "analytic_conductor": 14.772324373936872, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [5, -1], [37, -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": [1850, 1, [1777, 1001], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 5, "field_disc": 1791440, "field_disc_factorization": [[2, 4], [5, 1], [7, 2], [457, 1]], "field_poly": [-4, 13, 0, -9, 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": [[3, [4, 13, 0, -9, 0, 1]], [7, [400, 240, -44, -32, 1, 1]]], "hecke_orbit": 31, "hecke_orbit_code": 135107988854671162, "hecke_ring_generator_nbound": 7, "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": true, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "1850.2.a.be", "level": 1850, "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, 5, 37], "level_radical": 370, "minimal_twist": "370.2.b.d", "nf_label": "5.5.1791440.1", "prim_orbit_index": 1, "qexp_display": "q+q^{2}-\\beta _{1}q^{3}+q^{4}-\\beta _{1}q^{6}+(-\\beta _{1}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 5, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1850.2.a", "trace_display": [5, 0, 0, -1], "trace_hash": 1774404409398082015, "trace_moments": [{"__RealLiteral__": 0, "data": "0.079", "prec": 17}, {"__RealLiteral__": 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