# Stored data for newform 270.10.a.a, downloaded from the LMFDB on 11 February 2025.
{"Nk2": 27000, "analytic_conductor": 139.05967576424575, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [3, 1], [5, 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": [270, 1, [191, 217], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 9569, "field_disc_factorization": [[7, 1], [1367, 1]], "field_poly": [-2392, -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": [[7, [6797518, 6461, 1]], [11, [-683707050, 28533, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 167772430, "hecke_ring_generator_nbound": 11, "hecke_ring_index": 3, "hecke_ring_index_factorization": [[3, 1]], "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": true, "label": "270.10.a.a", "level": 270, "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": "270.10.a.a", "nf_label": "2.2.9569.1", "prim_orbit_index": 1, "qexp_display": "q-2^{4}q^{2}+2^{8}q^{4}-5^{4}q^{5}+(-3237+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "270.10.a", "trace_display": [-32, 0, -1250, -6461], "trace_hash": 1082076258064251983, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.025", "prec": 17}, {"__RealLiteral__": 0, 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