{"Lvalue": {"__RealLiteral__": 0, "data": "2.2485006107219991736180294356686018739", "prec": 130}, "abs_disc": 57, "ainvs": "0,0;-1,1;0,0;-54,-15;180,48", "analytic_rank": 0, "bad_primes": ["(w-4)", "(w+3)", "(4*w+13)"], "base_change": [], "class_deg": 2, "class_label": "2.2.57.1-192.3-i", "class_size": 2, "cm": 0, "cm_type": 0, "conductor_ideal": "(4*w-8)", "conductor_label": "192.3", "conductor_norm": 192, "conductor_norm_factors": [2, 3], "degree": 2, "disc": "(2304*w+7680)", "equation": "{y}^2={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-15a-54\\right){x}+48a+180", "field_label": "2.2.57.1", "galois_images": ["2B"], "gens": [], "heights": [], "iso_label": "i", "iso_nlabel": 8, "isodeg": [1, 2], "isogeny_matrix": [[1, 2], [2, 1]], "jinv": "4468915004/3,1364585404/3", "label": "2.2.57.1-192.3-i2", "local_data": [{"p": "(w-4)", "cp": 2, "kod": -6, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 4, "ord_disc": 10, "ord_den_j": 0}, {"p": "(w+3)", "cp": 1, "kod": -4, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 2, "ord_disc": 8, "ord_den_j": 0}, {"p": "(4*w+13)", "cp": 2, "kod": 6, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "minD": "(2304*w+7680)", "n_bad_primes": 3, "ngens": 0, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 2359296, "number": 2, "omega": {"__RealLiteral__": 0, "data": "16.975807338556260432612424330712722217", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 0, "rank_bounds": [0, 0], "reducible_primes": [2], "reg": 1, "root_analytic_conductor": 2.5113155657419908, "semistable": false, "sha": 1, "short_class_label": "192.3-i", "short_label": "192.3-i2", "signature": [2, 0], "tamagawa_product": 4, "torsion_gens": ["[[1,1],[0,0],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 385131057605846039}