{"Lvalue": {"__RealLiteral__": 0, "data": "2.82353514664801", "prec": 54}, "abs_disc": 11197, "ainvs": "-1,-2,1,0;1,-3,-2,1;2,-3,-2,1;1,3,-1,-1;-4,-3,7,4", "analytic_rank": 1, "bad_primes": ["(-w-1)", "(w^2-2*w-2)"], "base_change": [], "class_deg": 2, "class_label": "4.4.11197.1-39.1-a", "class_size": 2, "cm": 0, "cm_type": 0, "conductor_ideal": "(-w^3+w^2+4*w+2)", "conductor_label": "39.1", "conductor_norm": 39, "conductor_norm_factors": [3, 13], "degree": 4, "disc": "(-263*w^3+602*w^2+405*w+812)", "equation": "{y}^2+\\left(a^{2}-2a-1\\right){x}{y}+\\left(a^{3}-2a^{2}-3a+2\\right){y}={x}^{3}+\\left(a^{3}-2a^{2}-3a+1\\right){x}^{2}+\\left(-a^{3}-a^{2}+3a+1\\right){x}+4a^{3}+7a^{2}-3a-4", "field_label": "4.4.11197.1", "galois_images": ["2B"], "gens": ["[[-1,1,1,0],[-1,2,0,-2],[1,0,0,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.19946327200814232169347373737653125399", "prec": 133}], "iso_label": "a", "iso_nlabel": 0, "isodeg": [1, 2], "isogeny_matrix": [[1, 2], [2, 1]], "jinv": "-457087746523336856/1229457398481,-1305500676828935869/1229457398481,319088858345844448/136606377609,-801752857236854408/1229457398481", "label": "4.4.11197.1-39.1-a1", "local_data": [{"p": "(-w-1)", "cp": 2, "kod": 20, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 16, "ord_den_j": 16}, {"p": "(w^2-2*w-2)", "cp": 4, "kod": 8, "red": 1, "normp": 13, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "minD": "(263*w^3-602*w^2-405*w-812)", "n_bad_primes": 2, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 1229457398481, "number": 1, "omega": {"__RealLiteral__": 0, "data": "187.23675736513950277054736467079989480", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "0.19946327200814232169347373737653125399", "prec": 133}, "root_analytic_conductor": 14.947634450564577, "semistable": true, "sha": 1, "short_class_label": "39.1-a", "short_label": "39.1-a1", "signature": [4, 0], "tamagawa_product": 8, "torsion_gens": ["[[-1,3/4,1/2,-1/2],[-5/4,11/8,3/4,-1/8],[1,0,0,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 1984709055471834744}