{"torsion_structure": [], "ainvs": "1,1;1,1;0,1;5,3;47,22", "cm": 0, "torsion_gens": [], "number": 1, "rank": 1, "field_label": "2.2.29.1", "galois_images": [], "conductor_norm": 28, "abs_disc": 29, "iso_nlabel": 1, "rank_bounds": [1, 1], "conductor_ideal": "(-2*w)", "base_change": [], "local_data": [{"p": "(-w)", "cp": 2, "kod": 8, "red": -1, "normp": 7, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(2)", "cp": 6, "kod": 10, "red": 1, "normp": 4, "rootno": -1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}], "analytic_rank": 1, "minD": "(960*w+3584)", "label": "2.2.29.1-28.1-b1", "jinv": "-79186783/19208,198387025/153664", "conductor_label": "28.1", "class_deg": 1, "reg": {"__RealLiteral__": 0, "data": "0.059060672850132653066726795388911188049", "prec": 137}, "class_size": 1, "class_label": "2.2.29.1-28.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "28.1-b1", "short_class_label": "28.1-b", "isogeny_matrix": [[1]], "torsion_order": 1, "equation": "{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(3a+5\\right){x}+22a+47", "gens": ["[[1,-1],[10,1],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 1073970422406626777, "heights": [{"__RealLiteral__": 0, "data": "0.059060672850132653066726795388911188049", "prec": 137}], "isodeg": [1], "omega": {"__RealLiteral__": 0, "data": "5.5195523773594143606842966524837261246", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 12, "bad_primes": ["(-w)", "(2)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.4528289725425482120896569645875996967", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 2, "reducible_primes": [], "semistable": true, "disc": "(-960*w-3584)", "normdisc": 9834496, "conductor_norm_factors": [2, 7], "nonmax_primes": [], "nonmax_rad": 1, "root_analytic_conductor": 1.1069475930926704, "cm_type": 0}