{"torsion_structure": [4], "ainvs": "1,1;-1,-1;0,0;-161321,-41655;35213719,9092142", "cm": 0, "torsion_gens": ["[[165,43],[-467,-120],[1,0]]"], "number": 4, "rank": 0, "field_label": "2.2.60.1", "galois_images": ["2B"], "conductor_norm": 8, "abs_disc": 60, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(4,2*w+2)", "base_change": [], "local_data": [{"p": "(2,w+1)", "cp": 2, "kod": -3, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 3, "ord_disc": 10, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(32)", "label": "2.2.60.1-8.1-b4", "jinv": "499443959016,128955875202", "conductor_label": "8.1", "class_deg": 4, "reg": 1, "class_size": 4, "class_label": "2.2.60.1-8.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "8.1-b4", "short_class_label": "8.1-b", "isogeny_matrix": [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], "torsion_order": 4, "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-41655a-161321\\right){x}+9092142a+35213719", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 964272816262187203, "heights": [], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "21.874653252509102954652841312075526331", "prec": 130}, "potential_good_reduction": true, "tamagawa_product": 2, "bad_primes": ["(2,w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.4120027958504943483130295440443350510", "prec": 130}, "sha": 4, "torsion_primes": [2], "n_bad_primes": 1, "reducible_primes": [2], "semistable": false, "disc": "(32)", "normdisc": 1024, "conductor_norm_factors": [2], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 1.1640903135037526, "cm_type": 0}