{"torsion_structure": [], "ainvs": "1,1;0,0;0,0;29,-5;81,-20", "cm": 0, "torsion_gens": [], "number": 1, "rank": 1, "field_label": "2.2.56.1", "galois_images": ["5B.4.1"], "conductor_norm": 10, "abs_disc": 56, "iso_nlabel": 2, "rank_bounds": [1, 1], "conductor_ideal": "(w+2)", "base_change": [], "local_data": [{"p": "(-w+4)", "cp": 10, "kod": 14, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 10, "ord_den_j": 10}, {"p": "(-w+3)", "cp": 1, "kod": 9, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 5, "ord_den_j": 5}], "analytic_rank": 1, "minD": "(-928*w-2976)", "label": "2.2.56.1-10.1-c1", "jinv": "358833109/100000,73603923/100000", "conductor_label": "10.1", "class_deg": 5, "reg": {"__RealLiteral__": 0, "data": "0.054400494674780956742708434690663425336", "prec": 137}, "class_size": 2, "class_label": "2.2.56.1-10.1-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "10.1-c1", "short_class_label": "10.1-c", "isogeny_matrix": [[1, 5], [5, 1]], "torsion_order": 1, "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+\\left(-5a+29\\right){x}-20a+81", "gens": ["[[-2,0],[5,0],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 1639812700310630281, "heights": [{"__RealLiteral__": 0, "data": "0.054400494674780956742708434690663425336", "prec": 137}], "isodeg": [1, 5], "omega": {"__RealLiteral__": 0, "data": "14.163134738548721329178436662472233718", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 10, "bad_primes": ["(-w+4)", "(-w+3)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.0591985216127295013337256651752767828", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 2, "reducible_primes": [5], "semistable": true, "disc": "(-928*w-2976)", "normdisc": -3200000, "conductor_norm_factors": [2, 5], "nonmax_primes": [5], "nonmax_rad": 5, "root_analytic_conductor": 1.189138847156719, "cm_type": 0}