{"torsion_structure": [2, 2], "ainvs": "0,0;0,0;0,0;-3,3;0,0", "cm": -4, "torsion_gens": ["[[-2,1],[0,0],[1,0]]", "[[0,0],[0,0],[1,0]]"], "number": 1, "rank": 1, "field_label": "2.0.3.1", "galois_images": ["2Cs"], "conductor_norm": 9216, "abs_disc": 3, "iso_nlabel": 3, "rank_bounds": [1, 1], "conductor_ideal": "(96)", "base_change": ["288.a2", "288.e2"], "local_data": [{"p": "(-2*w+1)", "cp": 4, "kod": -1, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}, {"p": "(2)", "cp": 2, "kod": 3, "red": 0, "normp": 4, "rootno": -1, "ord_cond": 5, "ord_disc": 6, "ord_den_j": 0}], "analytic_rank": 1, "minD": "(1728)", "label": "2.0.3.1-9216.1-d1", "jinv": "1728,0", "conductor_label": "9216.1", "class_deg": 4, "reg": {"__RealLiteral__": 0, "data": "0.50118239204717836371111998436542662501", "prec": 133}, "class_size": 4, "class_label": "2.0.3.1-9216.1-d", "iso_label": "d", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "9216.1-d1", "short_class_label": "9216.1-d", "isogeny_matrix": [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], "torsion_order": 4, "equation": "{y}^2={x}^{3}+\\left(3a-3\\right){x}", "gens": ["[[0,-1],[2,0],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 172724942348509360, "heights": [{"__RealLiteral__": 0, "data": "0.50118239204717836371111998436542662501", "prec": 133}], "isodeg": [1, 2], "omega": {"__RealLiteral__": 0, "data": "3.9693903827627596663162680332564652025", "prec": 130}, "potential_good_reduction": true, "tamagawa_product": 8, "bad_primes": ["(-2*w+1)", "(2)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.2971480493628581170115924542035165783", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": false, "disc": "(-1728)", "normdisc": 2985984, "conductor_norm_factors": [2, 3], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 1.516473401749228, "cm_type": -1}