{"torsion_structure": [2], "ainvs": "0,1;1,0;0,0;-188,0;-1020,0", "cm": 0, "torsion_gens": ["[[-17/2,0],[0,17/4],[1,0]]"], "number": 3, "rank": 2, "field_label": "2.0.8.1", "galois_images": ["2B"], "conductor_norm": 41616, "abs_disc": 8, "iso_nlabel": 1, "rank_bounds": [2, 2], "conductor_ideal": "(204)", "base_change": ["3264.c1", "816.f1"], "local_data": [{"p": "(w)", "cp": 4, "kod": -6, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 4, "ord_disc": 10, "ord_den_j": 0}, {"p": "(-w-1)", "cp": 2, "kod": 12, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(w-1)", "cp": 2, "kod": 12, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(-2*w+3)", "cp": 1, "kod": 5, "red": 1, "normp": 17, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(2*w+3)", "cp": 1, "kod": 5, "red": 1, "normp": 17, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 2, "minD": "(3569184)", "label": "2.0.8.1-41616.5-b3", "jinv": "22994537186/111537,0", "conductor_label": "41616.5", "class_deg": 8, "reg": {"__RealLiteral__": 0, "data": "0.61272590629398610081301131304075600452", "prec": 133}, "class_size": 6, "class_label": "2.0.8.1-41616.5-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "41616.5-b3", "short_class_label": "41616.5-b", "isogeny_matrix": [[1, 2, 4, 2, 2, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 8, 8, 4], [2, 4, 8, 1, 4, 8], [2, 4, 8, 4, 1, 8], [4, 2, 4, 8, 8, 1]], "torsion_order": 2, "equation": "{y}^2+a{x}{y}={x}^{3}+{x}^{2}-188{x}-1020", "gens": ["[[-12,-2],[-18,20],[1,0]]", "[[-8,0],[-2,4],[1,0]]"], "ngens": 2, "signature": [0, 1], "trace_hash": 137637900062555199, "heights": [{"__RealLiteral__": 0, "data": "0.72128879672282467943823881731803573400", "prec": 133}, {"__RealLiteral__": 0, "data": "0.97374277798676775640438260665857419951", "prec": 133}], "isodeg": [1, 2, 4, 8], "omega": {"__RealLiteral__": 0, "data": "0.80940002313007458420130198652484298728", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 16, "bad_primes": ["(w)", "(-w-1)", "(w-1)", "(-2*w+3)", "(2*w+3)"], "Lvalue": {"__RealLiteral__": 0, "data": "5.6109246967711966917484244331059821244", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 5, "reducible_primes": [2], "semistable": false, "disc": "(3569184)", "normdisc": 12739074425856, "conductor_norm_factors": [2, 3, 17], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 3.6099287541270066, "cm_type": 0}