{"torsion_structure": [4], "ainvs": "0,1;-1,-1;1,0;-99,-285;-720,3184", "cm": 0, "torsion_gens": ["[[27,-1],[-127,17],[1,0]]"], "number": 3, "field_label": "2.0.3.1", "galois_images": ["2B"], "conductor_norm": 54948, "abs_disc": 3, "iso_nlabel": 4, "conductor_ideal": "[54948,27474,-254*w+208]", "base_change": [], "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": 8, "red": 1}, {"ord_disc": 8, "ord_cond": 1, "normp": 19, "kod": "I_{8}", "rootno": -1, "p": "[19,19,-5*w+2]", "ord_den_j": 8, "cp": 8, "red": 1}, {"ord_disc": 1, "ord_cond": 1, "normp": 241, "kod": "I_{1}", "rootno": -1, "p": "[241,241,16*w-15]", "ord_den_j": 1, "cp": 1, "red": 1}, {"ord_disc": 2, "ord_cond": 1, "normp": 4, "kod": "I_{2}", "rootno": -1, "p": "[4,2,2]", "ord_den_j": 2, "cp": 2, "red": 1}], "minD": "[429670829823875856,1326144536493444,680918724*w-54219780]", "label": "2.0.3.1-54948.4-e3", "jinv": "-10203078909976442143/1326144536493444,7856412809929152175/1326144536493444", "conductor_label": "54948.4", "class_deg": 8, "reg": {"data": "1.0", "prec": 10, "__RealLiteral__": 0}, "class_size": 6, "isogeny_degrees": [1, 2, 4, 8], "class_label": "2.0.3.1-54948.4-e", "iso_label": "e", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "54948.4-e3", "short_class_label": "54948.4-e", "torsion_order": 4, "non-surjective_primes": [2], "trace_hash": 914020711714712091, "equation": "\" y^2 + a x y + y = x^{3} + \\left(-a - 1\\right) x^{2} + \\left(-285 a - 99\\right) x + 3184 a - 720  \"", "old_heights": [], "signature": [0, 1]}