{"Lvalue": {"__RealLiteral__": 0, "data": "2.9715864112555461979447017745200648477", "prec": 130}, "abs_disc": 3, "ainvs": "0,0;-1,0;0,0;-2384,7520;121984,119424", "analytic_rank": 1, "bad_primes": ["(-2*w+1)", "(-3*w+1)", "(3*w-2)", "(2)"], "base_change": [], "class_deg": 16, "class_label": "2.0.3.1-37632.2-f", "class_size": 8, "cm": 0, "cm_type": 0, "conductor_ideal": "(-224*w+112)", "conductor_label": "37632.2", "conductor_norm": 37632, "conductor_norm_factors": [2, 3, 7], "degree": 2, "disc": "(-1509614804992*w+2273646964736)", "equation": "{y}^2={x}^{3}-{x}^{2}+\\left(7520a-2384\\right){x}+119424a+121984", "field_label": "2.0.3.1", "galois_images": ["2B"], "gens": ["[[-2,-40],[-714,84],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "1.4925984173890274178188752072631063538", "prec": 130}], "iso_label": "f", "iso_nlabel": 5, "isodeg": [1, 2, 4, 8, 16], "isogeny_matrix": [[1, 2, 16, 8, 4, 16, 4, 8], [2, 1, 8, 4, 2, 8, 2, 4], [16, 8, 1, 2, 16, 4, 4, 8], [8, 4, 2, 1, 8, 2, 2, 4], [4, 2, 16, 8, 1, 16, 4, 8], [16, 8, 4, 2, 16, 1, 4, 8], [4, 2, 4, 2, 4, 4, 1, 2], [8, 4, 8, 4, 8, 8, 2, 1]], "jinv": "-1072967896631695607/99698791708803,1866593950165482334/99698791708803", "label": "2.0.3.1-37632.2-f1", "local_data": [{"p": "(-2*w+1)", "cp": 1, "kod": 5, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(-3*w+1)", "cp": 16, "kod": 20, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 16, "ord_den_j": 16}, {"p": "(3*w-2)", "cp": 4, "kod": 8, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(2)", "cp": 2, "kod": -8, "red": 0, "normp": 4, "rootno": 1, "ord_cond": 4, "ord_disc": 12, "ord_den_j": 0}], "minD": "(1509614804992*w-2273646964736)", "n_bad_primes": 4, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 4016076260413670474907648, "number": 1, "omega": {"__RealLiteral__": 0, "data": "0.10775961620464087257951965838643977477", "prec": 133}, "potential_good_reduction": false, "q_curve": true, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "1.4925984173890274178188752072631063538", "prec": 130}, "root_analytic_conductor": 2.1557009141043006, "semistable": false, "sha": 1, "short_class_label": "37632.2-f", "short_label": "37632.2-f1", "signature": [0, 1], "tamagawa_product": 128, "torsion_gens": ["[[-86,16],[-490,784],[1,0]]"], "torsion_order": 4, "torsion_primes": [2], "torsion_structure": [4], "trace_hash": 1710281274913263791}