{"torsion_structure": [2], "ainvs": "1,0;1,0;1,0;-2160,0;-39540,0", "cm": 0, "torsion_gens": ["[[-109/4,0],[105/8,0],[1,0]]"], "number": 8, "rank": 0, "gens": [], "field_label": "2.0.3.1", "galois_images": ["2B"], "conductor_norm": 75, "abs_disc": 3, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "[75,15,-10*w+5]", "base_change": ["15.a1", "45.a1"], "local_data": [{"ord_disc": 8, "ord_cond": 1, "normp": 3, "kod": "I_{8}", "rootno": 1, "p": "[3,3,-2*w+1]", "ord_den_j": 8, "cp": 2, "red": -1}, {"ord_disc": 1, "ord_cond": 1, "normp": 25, "kod": "I_{1}", "rootno": -1, "p": "[25,5,5]", "ord_den_j": 1, "cp": 1, "red": 1}], "minD": "[164025,405,405]", "label": "2.0.3.1-75.1-a8", "jinv": "1114544804970241/405,0", "conductor_label": "75.1", "class_deg": 16, "reg": {"data": "1.0", "prec": 10, "__RealLiteral__": 0}, "class_size": 8, "isogeny_degrees": [1, 2, 4, 8, 16], "class_label": "2.0.3.1-75.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "75.1-a8", "short_class_label": "75.1-a", "torsion_order": 2, "non-surjective_primes": [2], "trace_hash": 1555274189856179935, "equation": "\" y^2 + x y + y = x^{3} + x^{2} - 2160 x - 39540  \"", "old_heights": [], "ngens": 0, "signature": [0, 1]}