{"Lvalue": {"__RealLiteral__": 0, "data": "15.294630137558454753995654592581041517", "prec": 130}, "abs_disc": 840, "ainvs": "0,1;0,0;0,0;3226,11;-41328,-3122", "analytic_rank": 2, "bad_primes": ["(2,w)"], "base_change": ["14400.cx1", "1568.e2"], "class_deg": 4, "class_label": "2.0.840.1-32.1-e", "class_size": 4, "cm": -16, "cm_type": -1, "conductor_ideal": "(8,4*w)", "conductor_label": "32.1", "conductor_norm": 32, "conductor_norm_factors": [2], "degree": 2, "disc": "(-67468896*a-4657060792)", "equation": "{y}^2+a{x}{y}={x}^3+\\left(11a+3226\\right){x}-3122a-41328", "field_label": "2.0.840.1", "galois_images": ["2Cs"], "gens": ["[[133/8,7/4],[3157/16,-293/32],[1,0]]", "[[81/4,-11/2],[-1785/8,17],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "1.4944407538016703049134574705638987676", "prec": 130}, {"__RealLiteral__": 0, "data": "2.6964694026626170544163641927814947238", "prec": 130}], "iso_label": "e", "iso_nlabel": 4, "isodeg": [1, 2, 4], "isogeny_matrix": [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], "jinv": "287496,0", "label": "2.0.840.1-32.1-e4", "local_data": [{"p": "(2,w)", "cp": 2, "kod": 3, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 5, "ord_disc": 6, "ord_den_j": 0}, {"p": "(29,w+14)", "cp": 1, "kod": 1, "red": null, "normp": 29, "rootno": 1, "ord_cond": 0, "ord_disc": 0, "ord_den_j": 0}], "minD": "(8)", "n_bad_primes": 1, "ngens": 2, "non_min_p": ["(29,w+14)"], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 22644146125150018624, "number": 4, "omega": {"__RealLiteral__": 0, "data": "13.750371636040745654980191559621114396", "prec": 130}, "potential_good_reduction": true, "q_curve": true, "rank": 2, "rank_bounds": [2, 2], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "4.0297137667182610839749820232413065756", "prec": 130}, "root_analytic_conductor": 6.1597869463002874, "semistable": false, "sha": 4, "short_class_label": "32.1-e", "short_label": "32.1-e4", "signature": [0, 1], "tamagawa_product": 2, "torsion_gens": ["[[33/2,2],[210,-33/4],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 2236153369639408653}