{"Lvalue": {"__RealLiteral__": 0, "data": "1.12556516328474", "prec": 54}, "abs_disc": 2225, "ainvs": "-3,-5/2,1/2,1/2;4,3/2,-1/2,-1/2;-2,-1,1,0;21,6,-11,-3;-9,-57/2,-17/2,13/2", "analytic_rank": 0, "bad_primes": ["(-w)", "(-1/2*w^3+1/2*w^2+5/2*w-1)"], "base_change": [], "class_deg": 18, "class_label": "4.4.2225.1-16.1-a", "class_size": 6, "cm": 0, "cm_type": 0, "conductor_ideal": "(2)", "conductor_label": "16.1", "conductor_norm": 16, "conductor_norm_factors": [2], "degree": 4, "disc": "(4864*w^3-4352*w^2-10496*w+3072)", "equation": "{y}^2+\\left(\\frac{1}{2}a^{3}+\\frac{1}{2}a^{2}-\\frac{5}{2}a-3\\right){x}{y}+\\left(a^{2}-a-2\\right){y}={x}^{3}+\\left(-\\frac{1}{2}a^{3}-\\frac{1}{2}a^{2}+\\frac{3}{2}a+4\\right){x}^{2}+\\left(-3a^{3}-11a^{2}+6a+21\\right){x}+\\frac{13}{2}a^{3}-\\frac{17}{2}a^{2}-\\frac{57}{2}a-9", "field_label": "4.4.2225.1", "galois_images": ["2B", "3Cs.1.1"], "gens": [], "heights": [], "iso_label": "a", "iso_nlabel": 0, "isodeg": [1, 2, 3, 6], "isogeny_matrix": [[1, 3, 18, 9, 2, 6], [3, 1, 6, 3, 6, 2], [18, 6, 1, 2, 9, 3], [9, 3, 2, 1, 18, 6], [2, 6, 9, 18, 1, 3], [6, 2, 3, 6, 3, 1]], "jinv": "2110395388989/32768,1454285809955/16384,-83328303025/32768,-4805055317535/262144", "label": "4.4.2225.1-16.1-a2", "local_data": [{"p": "(-w)", "cp": 9, "kod": 13, "red": 1, "normp": 4, "rootno": -1, "ord_cond": 1, "ord_disc": 9, "ord_den_j": 9}, {"p": "(-1/2*w^3+1/2*w^2+5/2*w-1)", "cp": 18, "kod": 22, "red": 1, "normp": 4, "rootno": -1, "ord_cond": 1, "ord_disc": 18, "ord_den_j": 18}], "minD": "(4864*w^3-4352*w^2-10496*w+3072)", "n_bad_primes": 2, "ngens": 0, "non_min_p": [], "nonmax_primes": [2, 3], "nonmax_rad": 6, "normdisc": 18014398509481984, "number": 2, "omega": {"__RealLiteral__": 0, "data": "11.798400570364942519153557784215456690", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 0, "rank_bounds": [0, 0], "reducible_primes": [2, 3], "reg": 1, "root_analytic_conductor": 5.96099227473663, "semistable": true, "sha": 1, "short_class_label": "16.1-a", "short_label": "16.1-a2", "signature": [4, 0], "tamagawa_product": 162, "torsion_gens": ["[[0,-7,2,0],[-6,5/2,-27/2,13/2],[1,0,0,0]]"], "torsion_order": 6, "torsion_primes": [2, 3], "torsion_structure": [6], "trace_hash": 1637607553184281391}