{"Lvalue": {"__RealLiteral__": 0, "data": "2.2406058534699274863220434032375657441", "prec": 130}, "abs_disc": 24, "ainvs": "1,0;1,1;1,1;-58,22;243,-108", "analytic_rank": 1, "bad_primes": ["(-w+2)", "(7)"], "base_change": [], "class_deg": 5, "class_label": "2.2.24.1-98.1-j", "class_size": 2, "cm": 0, "cm_type": 0, "conductor_ideal": "(-7*w+14)", "conductor_label": "98.1", "conductor_norm": 98, "conductor_norm_factors": [2, 7], "degree": 2, "disc": "(-896*w+1792)", "equation": "{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(22a-58\\right){x}-108a+243", "field_label": "2.2.24.1", "galois_images": ["5B.1.1"], "gens": ["[[5,0],[7,1],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "1.2595847828072035587959786381776467192", "prec": 130}], "iso_label": "j", "iso_nlabel": 9, "isodeg": [1, 5], "isogeny_matrix": [[1, 5], [5, 1]], "jinv": "1761459673691/896,-1438226488809/1792", "label": "2.2.24.1-98.1-j2", "local_data": [{"p": "(-w+2)", "cp": 15, "kod": 19, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 15, "ord_den_j": 15}, {"p": "(7)", "cp": 1, "kod": 5, "red": -1, "normp": 49, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "minD": "(-896*w+1792)", "n_bad_primes": 2, "ngens": 1, "non_min_p": [], "nonmax_primes": [5], "nonmax_rad": 5, "normdisc": -1605632, "number": 2, "omega": {"__RealLiteral__": 0, "data": "7.2621035262414203359328811260471909177", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [5], "reg": {"__RealLiteral__": 0, "data": "1.2595847828072035587959786381776467192", "prec": 130}, "root_analytic_conductor": 1.3773702338843288, "semistable": true, "sha": 1, "short_class_label": "98.1-j", "short_label": "98.1-j2", "signature": [2, 0], "tamagawa_product": 15, "torsion_gens": ["[[5,-1],[-7,0],[1,0]]"], "torsion_order": 5, "torsion_primes": [5], "torsion_structure": [5], "trace_hash": 1998339428921378636}