# Stored data for newform 435.2.f.b, downloaded from the LMFDB on 15 January 2025.
{"Nk2": 1740, "analytic_conductor": 3.4734924879256965, "analytic_rank": 1, "analytic_rank_proved": true, "char_conductor": 145, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 2, "char_parity": 1, "char_values": [435, 2, [146, 262, 31], [2, 1, 1]], "cm_discs": [], "conrey_index": 289, "dim": 2, "field_disc": -4, "field_disc_factorization": [[-1, 1], [2, 2]], "field_poly": [1, 0, 1], "field_poly_is_cyclotomic": true, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 4, "has_non_self_twist": 1, "hecke_cutters": [[2, [1, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503943258309043, "hecke_ring_generator_nbound": 5, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 145, 4, 1, 2, 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": true, "label": "435.2.f.b", "level": 435, "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": true, "level_primes": [3, 5, 29], "level_radical": 435, "minimal_twist": "435.2.f.b", "nf_label": "2.0.4.1", "prim_orbit_index": 4, "qexp_display": "q-q^{2}-q^{3}-q^{4}+(\\beta-1)q^{5}+q^{6}+\\cdots", "related_objects": ["EllipticCurve/2.2.145.1/9.1/c", "ModularForm/GL2/TotallyReal/2.2.145.1/holomorphic/2.2.145.1-9.1-c"], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "1.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "435.2.f", "trace_display": [-2, -2, -2, 0], "trace_hash": 550743967096505649, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.885", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, 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