# Stored data for newform 1210.2.a.u, downloaded from the LMFDB on 26 September 2025.
{"Nk2": 4840, "analytic_conductor": 9.661898644574926, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, -1], [11, 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": [1210, 1, [727, 1091], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 4, "field_disc": 5225, "field_disc_factorization": [[5, 2], [11, 1], [19, 1]], "field_poly": [11, 1, -8, -1, 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, 14, -5, -3, 1]], [7, [-16, -44, -15, 3, 1]], [13, [176, -132, -21, 7, 1]], [17, [-44, 74, -33, 1, 1]]], "hecke_orbit": 21, "hecke_orbit_code": 90071992580965562, "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": "1210.2.a.u", "level": 1210, "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, 11], "level_radical": 110, "minimal_twist": "110.2.g.c", "nf_label": "4.4.5225.1", "prim_orbit_index": 1, "qexp_display": "q-q^{2}+(1-\\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\\cdots)q^{6}+\\cdots", "related_objects": [], "relative_dim": 4, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1210.2.a", "trace_display": [-4, 3, 4, -3], "trace_hash": 258823075342141215, "trace_moments": [{"__RealLiteral__": 0, "data": "0.008", "prec": 17}, 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