{"Lvalue": {"__RealLiteral__": 0, "data": "2.47533941194563", "prec": 54}, "abs_disc": 13448, "ainvs": "1,-5,0,1;2,-3,-1/2,1/2;-2,-2,1/2,1/2;-31,14,-19/2,7/2;-88,196,169/2,-113/2", "analytic_rank": 1, "bad_primes": ["(-w)", "(1/2*w^3+1/2*w^2-3*w-4)"], "base_change": [], "class_deg": 4, "class_label": "4.4.13448.1-10.1-b", "class_size": 4, "cm": 0, "cm_type": 0, "conductor_ideal": "(-w-2)", "conductor_label": "10.1", "conductor_norm": 10, "conductor_norm_factors": [2, 5], "degree": 4, "disc": "(1/2*w^3-1/2*w^2-3*w+5)", "equation": "{y}^2+\\left(a^{3}-5a+1\\right){x}{y}+\\left(\\frac{1}{2}a^{3}+\\frac{1}{2}a^{2}-2a-2\\right){y}={x}^{3}+\\left(\\frac{1}{2}a^{3}-\\frac{1}{2}a^{2}-3a+2\\right){x}^{2}+\\left(\\frac{7}{2}a^{3}-\\frac{19}{2}a^{2}+14a-31\\right){x}-\\frac{113}{2}a^{3}+\\frac{169}{2}a^{2}+196a-88", "field_label": "4.4.13448.1", "galois_images": ["2B"], "gens": ["[[20,-32,-5/2,9/2],[89,-157,-12,23],[1,0,0,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.071712851766081145814086377333568970099", "prec": 137}], "iso_label": "b", "iso_nlabel": 1, "isodeg": [1, 2, 4], "isogeny_matrix": [[1, 4, 4, 2], [4, 1, 4, 2], [4, 4, 1, 2], [2, 2, 2, 1]], "jinv": "2119462057415261/5,15518819439077213/20,-316263553433727/5,-2315701288959061/20", "label": "4.4.13448.1-10.1-b1", "local_data": [{"p": "(-w)", "cp": 3, "kod": 7, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(1/2*w^3+1/2*w^2-3*w-4)", "cp": 1, "kod": 5, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "minD": "(-3/2*w^3+1/2*w^2+9*w-1)", "n_bad_primes": 2, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 40, "number": 1, "omega": {"__RealLiteral__": 0, "data": "1334.2750311108772325253214924115855667", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "0.071712851766081145814086377333568970099", "prec": 137}, "root_analytic_conductor": 13.818706847344492, "semistable": true, "sha": 1, "short_class_label": "10.1-b", "short_label": "10.1-b1", "signature": [4, 0], "tamagawa_product": 3, "torsion_gens": ["[[-15/4,23/2,1,-2],[83/8,-105/8,-1/4,13/8],[1,0,0,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 284443060074469447}