{"Lvalue": {"__RealLiteral__": 0, "data": "2.7325923283660377297167573416661495806", "prec": 130}, "abs_disc": 11, "ainvs": "0,0;1,1;0,0;-41,81;-276,363", "analytic_rank": 0, "bad_primes": ["(-w)", "(w-1)", "(-w-1)", "(w-2)", "(2)"], "base_change": [], "class_deg": 8, "class_label": "2.0.11.1-14400.5-r", "class_size": 6, "cm": 0, "cm_type": 0, "conductor_ideal": "(120)", "conductor_label": "14400.5", "conductor_norm": 14400, "conductor_norm_factors": [2, 3, 5], "degree": 2, "disc": "(95877120*w+74664960)", "equation": "{y}^2={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(81a-41\\right){x}+363a-276", "field_label": "2.0.11.1", "galois_images": ["2B"], "gens": [], "heights": [], "iso_label": "r", "iso_nlabel": 17, "isodeg": [1, 2, 4, 8], "isogeny_matrix": [[1, 8, 2, 4, 4, 8], [8, 1, 4, 2, 8, 4], [2, 4, 1, 2, 2, 4], [4, 2, 2, 1, 4, 2], [4, 8, 2, 4, 1, 8], [8, 4, 4, 2, 8, 1]], "jinv": "660741562484/854296875,1225616628472/2562890625", "label": "2.0.11.1-14400.5-r5", "local_data": [{"p": "(-w)", "cp": 1, "kod": 5, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(w-1)", "cp": 2, "kod": 12, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(-w-1)", "cp": 1, "kod": 5, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(w-2)", "cp": 8, "kod": 12, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(2)", "cp": 2, "kod": -3, "red": 0, "normp": 4, "rootno": 1, "ord_cond": 3, "ord_disc": 10, "ord_den_j": 0}], "minD": "(-95877120*w-74664960)", "n_bad_primes": 5, "ngens": 0, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 40310784000000000, "number": 5, "omega": {"__RealLiteral__": 0, "data": "0.56643646613711148935298935113490764924", "prec": 133}, "potential_good_reduction": false, "q_curve": false, "rank": 0, "rank_bounds": [0, 0], "reducible_primes": [2], "reg": 1, "root_analytic_conductor": 3.2465755908047194, "semistable": false, "sha": 1, "short_class_label": "14400.5-r", "short_label": "14400.5-r5", "signature": [0, 1], "tamagawa_product": 32, "torsion_gens": ["[[-9,5],[0,0],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 746332442934364240}