{"Lvalue": {"__RealLiteral__": 0, "data": "3.4955405688350932410331019355869254420", "prec": 130}, "abs_disc": 11, "ainvs": "0,0;1,0;0,0;160,-80;-720,-208", "analytic_rank": 0, "bad_primes": ["(-w)", "(w-1)", "(-w-1)", "(-2*w+1)", "(2)"], "base_change": [], "class_deg": 2, "class_label": "2.0.11.1-31680.3-j", "class_size": 2, "cm": 0, "cm_type": 0, "conductor_ideal": "(-72*w+168)", "conductor_label": "31680.3", "conductor_norm": 31680, "conductor_norm_factors": [2, 3, 5, 11], "degree": 2, "disc": "(-5508096*w+14091264)", "equation": "{y}^2={x}^{3}+{x}^{2}+\\left(-80a+160\\right){x}-208a-720", "field_label": "2.0.11.1", "galois_images": ["2B"], "gens": [], "heights": [], "iso_label": "j", "iso_nlabel": 9, "isodeg": [1, 2], "isogeny_matrix": [[1, 2], [2, 1]], "jinv": "-8656003144/6125625,154574701132/6125625", "label": "2.0.11.1-31680.3-j1", "local_data": [{"p": "(-w)", "cp": 4, "kod": 8, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(w-1)", "cp": 1, "kod": 5, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(-w-1)", "cp": 4, "kod": 8, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(-2*w+1)", "cp": 1, "kod": 7, "red": -1, "normp": 11, "rootno": 1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(2)", "cp": 2, "kod": -3, "red": 0, "normp": 4, "rootno": 1, "ord_cond": 3, "ord_disc": 10, "ord_den_j": 0}], "minD": "(5508096*w-14091264)", "n_bad_primes": 5, "ngens": 0, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 211965050880000, "number": 1, "omega": {"__RealLiteral__": 0, "data": "0.72458728164321789099443433610301820403", "prec": 133}, "potential_good_reduction": false, "q_curve": false, "rank": 0, "rank_bounds": [0, 0], "reducible_primes": [2], "reg": 1, "root_analytic_conductor": 3.953950147578354, "semistable": false, "sha": 1, "short_class_label": "31680.3-j", "short_label": "31680.3-j1", "signature": [0, 1], "tamagawa_product": 32, "torsion_gens": ["[[0,4],[0,0],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 404266389818138167}