{"torsion_structure": [], "ainvs": "3,2,-4,-1,1;-2,-6,3,2,-1;0,-3,0,1,0;4,2,-1,-1,0;8,7,-10,-3,2", "cm": 0, "torsion_gens": [], "number": 1, "rank": 0, "field_label": "5.5.65657.1", "galois_images": ["5B.4.1"], "conductor_norm": 9, "abs_disc": 65657, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(w^4-2*w^3-4*w^2+5*w+3)", "base_change": [], "local_data": [{"p": "(-w^4+w^3+4*w^2-2*w-2)", "cp": 2, "kod": -14, "red": 0, "normp": 3, "rootno": -1, "ord_cond": 2, "ord_disc": 16, "ord_den_j": 10}], "analytic_rank": 0, "minD": "(-14*w^4+35*w^3+65*w^2-126*w-80)", "label": "5.5.65657.1-9.1-b1", "jinv": "7149149617/59049,3220249090/6561,-9128857582/59049,-4155930605/19683,747179612/59049", "conductor_label": "9.1", "class_deg": 5, "reg": 1, "class_size": 2, "class_label": "5.5.65657.1-9.1-b", "iso_label": "b", "degree": 5, "non_min_p": [], "q_curve": false, "short_label": "9.1-b1", "short_class_label": "9.1-b", "isogeny_matrix": [[1, 5], [5, 1]], "torsion_order": 1, "equation": "{y}^2+\\left(a^{4}-a^{3}-4a^{2}+2a+3\\right){x}{y}+\\left(a^{3}-3a\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+3a^{2}-6a-2\\right){x}^{2}+\\left(-a^{3}-a^{2}+2a+4\\right){x}+2a^{4}-3a^{3}-10a^{2}+7a+8", "gens": [], "ngens": 0, "signature": [5, 0], "trace_hash": 1350555272167433393, "heights": [], "isodeg": [1, 5], "omega": {"__RealLiteral__": 0, "data": "134.14936449521744558739225268773790336", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(-w^4+w^3+4*w^2-2*w-2)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.04707574", "prec": 34}, "sha": 1, "torsion_primes": [], "n_bad_primes": 1, "reducible_primes": [5], "semistable": false, "disc": "(-19*w^4+38*w^3+73*w^2-81*w-44)", "normdisc": -43046721, "conductor_norm_factors": [3], "nonmax_primes": [5], "nonmax_rad": 5, "root_analytic_conductor": 28.52353330279248, "cm_type": 0}