{"torsion_structure": [2], "ainvs": "1,0;1,1;0,0;8,-64;138,-136", "cm": 0, "torsion_gens": ["[[-5/4,-1],[5/8,1/2],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.0.7.1", "galois_images": ["2B"], "conductor_norm": 5324, "abs_disc": 7, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(-44*w+66)", "base_change": [], "local_data": [{"p": "(w)", "cp": 1, "kod": 5, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(-w+1)", "cp": 1, "kod": 5, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(-2*w+3)", "cp": 4, "kod": -8, "red": 0, "normp": 11, "rootno": -1, "ord_cond": 2, "ord_disc": 10, "ord_den_j": 4}, {"p": "(2*w+1)", "cp": 4, "kod": 8, "red": 1, "normp": 11, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 0, "minD": "(-19911760*w-18769762)", "label": "2.0.7.1-5324.6-b2", "jinv": "59776471/29282,0", "conductor_label": "5324.6", "class_deg": 4, "reg": 1, "class_size": 4, "class_label": "2.0.7.1-5324.6-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "5324.6-b2", "short_class_label": "5324.6-b", "isogeny_matrix": [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], "torsion_order": 2, "equation": "{y}^2+{x}{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(-64a+8\\right){x}-136a+138", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1023934528233626813, "heights": [], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "0.74106810559190379537344750021111835940", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 16, "bad_primes": ["(w)", "(-w+1)", "(-2*w+3)", "(2*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.2407793279519221990140220113418871614", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 4, "reducible_primes": [2], "semistable": false, "disc": "(-19911760*w-18769762)", "normdisc": 1518999334332964, "conductor_norm_factors": [2, 11], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.0195150091296186, "cm_type": 0}