{"Lvalue": {"__RealLiteral__": 0, "data": "2.55699535", "prec": 34}, "abs_disc": 89417, "ainvs": "2,0,-4,0,1;-4,-7,4,2,-1;0,1,0,0,0;-458,-923,610,574,-291;10852,23224,-15498,-13684,7024", "analytic_rank": 1, "bad_primes": ["(w^3-w^2-3*w+2)"], "base_change": [], "class_deg": 4, "class_label": "5.5.89417.1-11.1-a", "class_size": 4, "cm": 0, "cm_type": 0, "conductor_ideal": "(w^3-w^2-3*w+2)", "conductor_label": "11.1", "conductor_norm": 11, "conductor_norm_factors": [11], "degree": 5, "disc": "(-2*w^4+4*w^3+7*w^2-16*w-5)", "equation": "{y}^2+\\left(a^{4}-4a^{2}+2\\right){x}{y}+a{y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-7a-4\\right){x}^{2}+\\left(-291a^{4}+574a^{3}+610a^{2}-923a-458\\right){x}+7024a^{4}-13684a^{3}-15498a^{2}+23224a+10852", "field_label": "5.5.89417.1", "galois_images": ["2B"], "gens": ["[[3,-1,0,0,0],[23,56,-33,-35,17],[1,0,0,0,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.20986498322965686577225309587572416071", "prec": 133}], "iso_label": "a", "iso_nlabel": 0, "isodeg": [1, 2, 4], "isogeny_matrix": [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], "jinv": "-157977896987517584455026/14641,-292899070194533892815349/14641,290678984684285122184960/14641,79742135469152888974129/14641,-64801139993982903601201/14641", "label": "5.5.89417.1-11.1-a1", "local_data": [{"p": "(w^3-w^2-3*w+2)", "cp": 2, "kod": 8, "red": -1, "normp": 11, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "minD": "(w^4+2*w^3-w^2-6*w+2)", "n_bad_primes": 1, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": -14641, "number": 1, "omega": {"__RealLiteral__": 0, "data": "1457.3370136182447877900487661030786913", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "0.20986498322965686577225309587572416071", "prec": 133}, "root_analytic_conductor": 33.961578645816424, "semistable": true, "sha": 1, "short_class_label": "11.1-a", "short_label": "11.1-a1", "signature": [5, 0], "tamagawa_product": 2, "torsion_gens": ["[[31/4,19/2,-25/4,-25/4,3],[-31/4,-83/8,91/8,39/8,-7/2],[1,0,0,0,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 370293718389196638}