{"torsion_structure": [2, 2], "ainvs": "0,1;1,0;0,0;2,0;1,0", "cm": 0, "torsion_gens": ["[[-1/2,0],[0,1/4],[1,0]]", "[[0,-1],[-1,0],[1,0]]"], "number": 3, "rank": 1, "field_label": "2.0.8.1", "galois_images": ["2Cs"], "conductor_norm": 288, "abs_disc": 8, "iso_nlabel": 0, "rank_bounds": [1, 1], "conductor_ideal": "(12*w)", "base_change": ["192.a4", "96.a4"], "local_data": [{"p": "(w)", "cp": 2, "kod": 3, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 5, "ord_disc": 6, "ord_den_j": 0}, {"p": "(-w-1)", "cp": 2, "kod": 8, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(w-1)", "cp": 2, "kod": 8, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 1, "minD": "(648)", "label": "2.0.8.1-288.2-a3", "jinv": "97336/81,0", "conductor_label": "288.2", "class_deg": 8, "reg": {"__RealLiteral__": 0, "data": "0.33790093360302083307345301798807317013", "prec": 133}, "class_size": 6, "class_label": "2.0.8.1-288.2-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "288.2-a3", "short_class_label": "288.2-a", "isogeny_matrix": [[1, 4, 2, 4, 8, 8], [4, 1, 2, 4, 8, 8], [2, 2, 1, 2, 4, 4], [4, 4, 2, 1, 2, 2], [8, 8, 4, 2, 1, 4], [8, 8, 4, 2, 4, 1]], "torsion_order": 4, "equation": "{y}^2+a{x}{y}={x}^{3}+{x}^{2}+2{x}+1", "gens": ["[[0,0],[-1,0],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 1579516124768751832, "heights": [{"__RealLiteral__": 0, "data": "0.33790093360302083307345301798807317013", "prec": 133}], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "4.6907285970052796451409889885773258962", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(w)", "(-w-1)", "(w-1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.1207653598985356482248583615882631270", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": false, "disc": "(-648)", "normdisc": 419904, "conductor_norm_factors": [2, 3], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 1.041194029177373, "cm_type": 0}