{"torsion_structure": [2, 8], "ainvs": "1,0;0,0;0,0;-39,0;90,0", "cm": 0, "torsion_gens": ["[[-3,0],[15,0],[1,0]]", "[[-2,2],[1,-1],[1,0]]"], "number": 5, "field_label": "2.2.28.1", "galois_images": ["2Cs"], "conductor_norm": 63, "abs_disc": 28, "iso_nlabel": 0, "conductor_ideal": "[63,21,3*w]", "base_change": ["21.a3", "2352.v3"], "local_data": [{"ord_disc": 8, "ord_cond": 1, "normp": 3, "kod": "I_{8}", "rootno": -1, "p": "[3,3,-w+2]", "ord_den_j": 8, "cp": 8, "red": 1}, {"ord_disc": 8, "ord_cond": 1, "normp": 3, "kod": "I_{8}", "rootno": -1, "p": "[3,3,-w-2]", "ord_den_j": 8, "cp": 8, "red": 1}, {"ord_disc": 2, "ord_cond": 1, "normp": 7, "kod": "I_{2}", "rootno": 1, "p": "[7,7,w]", "ord_den_j": 2, "cp": 2, "red": -1}], "minD": "[2109289329,45927,45927]", "label": "2.2.28.1-63.1-a5", "jinv": "6570725617/45927,0", "conductor_label": "63.1", "class_deg": 16, "reg": 1, "class_size": 8, "isogeny_degrees": [1, 2, 4, 8], "class_label": "2.2.28.1-63.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "63.1-a5", "short_class_label": "63.1-a", "torsion_order": 16, "non-surjective_primes": [2], "trace_hash": 1268120040260283548, "equation": "\" y^2 + x y = x^{3} - 39 x + 90  \"", "old_heights": [], "signature": [2, 0]}