{"torsion_structure": [2], "ainvs": "0,1;1,1;0,1;-20,7;-40,15", "cm": 0, "torsion_gens": ["[[-2,3/4],[-3/2,1/8],[1,0]]"], "number": 5, "rank": 0, "field_label": "2.2.17.1", "galois_images": ["2B"], "conductor_norm": 8, "abs_disc": 17, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(w-4)", "base_change": [], "local_data": [{"p": "(-w+2)", "cp": 1, "kod": -2, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 3, "ord_disc": 11, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(-7*w-44)", "label": "2.2.17.1-8.4-a5", "jinv": "54821634,-21069823", "conductor_label": "8.4", "class_deg": 8, "reg": 1, "class_size": 6, "class_label": "2.2.17.1-8.4-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "8.4-a5", "short_class_label": "8.4-a", "isogeny_matrix": [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], "torsion_order": 2, "equation": "{y}^2+a{x}{y}+a{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(7a-20\\right){x}+15a-40", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 2154243312440145583, "heights": [], "isodeg": [1, 2, 4, 8], "omega": {"__RealLiteral__": 0, "data": "12.690574342122364819155786846722745661", "prec": 130}, "potential_good_reduction": true, "tamagawa_product": 1, "bad_primes": ["(-w+2)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.76947909503417446985100160324989210959", "prec": 133}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 1, "reducible_primes": [2], "semistable": false, "disc": "(7*w+44)", "normdisc": 2048, "conductor_norm_factors": [2], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 0.6196343866330304, "cm_type": 0}