# Stored data for newform 1470.2.i.b, downloaded from the LMFDB on 21 February 2026.
{"Nk2": 5880, "analytic_conductor": 11.738009097128216, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 7, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 9, "char_orbit_label": "i", "char_order": 3, "char_parity": 1, "char_values": [1470, 3, [491, 1177, 1081], [3, 3, 2]], "cm_discs": [], "conrey_index": 361, "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": [[11, [16, 4, 1]], [13, [-2, 1]], [17, [4, -2, 1]], [19, [16, 4, 1]], [31, [64, 8, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4504149416740286, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 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": "1470.2.i.b", "level": 1470, "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, 7], "level_radical": 210, "minimal_twist": "210.2.a.c", "nf_label": "2.0.3.1", "prim_orbit_index": 3, "qexp_display": "q-\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1470.2.i", "trace_display": [-1, -1, 1, 0], "trace_hash": 2294256266588628449, "trace_moments": [{"__RealLiteral__": 0, "data": "0.024", "prec": 17}, {"__RealLiteral__": 0, "data": "2.026", "prec": 17}, {"__RealLiteral__": 0, "data": "0.151", "prec": 17}, 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