{"Lvalue": {"__RealLiteral__": 0, "data": "2.2652540031389915431737349553671887870", "prec": 130}, "abs_disc": 3, "ainvs": "0,0;1,-1;0,0;0,-3;-3,0", "analytic_rank": 1, "bad_primes": ["(-2*w+1)", "(2)"], "base_change": ["576.b5", "192.b5"], "class_deg": 16, "class_label": "2.0.3.1-12288.1-b", "class_size": 8, "cm": 0, "cm_type": 0, "conductor_ideal": "(-128*w+64)", "conductor_label": "12288.1", "conductor_norm": 12288, "conductor_norm_factors": [2, 3], "degree": 2, "disc": "(-3072)", "equation": "{y}^2={x}^{3}+\\left(-a+1\\right){x}^{2}-3a{x}-3", "field_label": "2.0.3.1", "galois_images": ["2Cs"], "gens": ["[[-3,1],[0,-4],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.53963693233858955721845168328714855890", "prec": 133}], "iso_label": "b", "iso_nlabel": 1, "isodeg": [1, 2, 4, 8], "isogeny_matrix": [[1, 4, 16, 2, 4, 8, 8, 16], [4, 1, 16, 2, 4, 8, 8, 16], [16, 16, 1, 8, 4, 2, 8, 4], [2, 2, 8, 1, 2, 4, 4, 8], [4, 4, 4, 2, 1, 2, 2, 4], [8, 8, 2, 4, 2, 1, 4, 2], [8, 8, 8, 4, 2, 4, 1, 8], [16, 16, 4, 8, 4, 2, 8, 1]], "jinv": "2048/3,0", "label": "2.0.3.1-12288.1-b4", "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 6, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(2)", "cp": 4, "kod": -1, "red": 0, "normp": 4, "rootno": 1, "ord_cond": 6, "ord_disc": 10, "ord_den_j": 0}], "minD": "(3072)", "n_bad_primes": 2, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 9437184, "number": 4, "omega": {"__RealLiteral__": 0, "data": "3.6353470179314388805624933342507679975", "prec": 130}, "potential_good_reduction": false, "q_curve": true, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "0.53963693233858955721845168328714855890", "prec": 133}, "root_analytic_conductor": 1.6295567199298828, "semistable": false, "sha": 1, "short_class_label": "12288.1-b", "short_label": "12288.1-b4", "signature": [0, 1], "tamagawa_product": 8, "torsion_gens": ["[[-1,-1],[0,0],[1,0]]", "[[-1,1],[0,0],[1,0]]"], "torsion_order": 4, "torsion_primes": [2], "torsion_structure": [2, 2], "trace_hash": 1470586999009028453}