{"Lvalue": {"__RealLiteral__": 0, "data": "3.7544601346915329778737150557821264372", "prec": 130}, "abs_disc": 4, "ainvs": "1,1;0,1;0,0;133,-321;-2289,546", "analytic_rank": 1, "bad_primes": ["(w+1)", "(-w-2)", "(2*w+1)", "(-3*w-2)"], "base_change": [], "class_deg": 16, "class_label": "2.0.4.1-67600.4-d", "class_size": 10, "cm": 0, "cm_type": 0, "conductor_ideal": "(100*w+240)", "conductor_label": "67600.4", "conductor_norm": 67600, "conductor_norm_factors": [2, 5, 13], "degree": 2, "disc": "(-66240*w+162800)", "equation": "{y}^2+\\left(i+1\\right){x}{y}={x}^{3}+i{x}^{2}+\\left(-321i+133\\right){x}+546i-2289", "field_label": "2.0.4.1", "galois_images": ["2B"], "gens": ["[[11,-7/2],[-201/4,195/4],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "2.2584918242450024499606972329623245278", "prec": 130}], "iso_label": "d", "iso_nlabel": 3, "isodeg": [1, 2, 4, 8, 16], "isogeny_matrix": [[1, 4, 2, 8, 2, 4, 8, 8, 8, 2], [4, 1, 2, 2, 8, 4, 8, 8, 2, 8], [2, 2, 1, 4, 4, 2, 4, 4, 4, 4], [8, 2, 4, 1, 16, 8, 16, 16, 4, 16], [2, 8, 4, 16, 1, 8, 16, 16, 16, 4], [4, 4, 2, 8, 8, 1, 2, 2, 8, 8], [8, 8, 4, 16, 16, 2, 1, 4, 16, 16], [8, 8, 4, 16, 16, 2, 4, 1, 16, 16], [8, 2, 4, 4, 16, 8, 16, 16, 1, 16], [2, 8, 4, 16, 4, 8, 16, 16, 16, 1]], "jinv": "132304644/5,0", "label": "2.0.4.1-67600.4-d8", "local_data": [{"p": "(w+1)", "cp": 2, "kod": -1, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 4, "ord_disc": 8, "ord_den_j": 0}, {"p": "(-w-2)", "cp": 1, "kod": 5, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(2*w+1)", "cp": 1, "kod": 5, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(-3*w-2)", "cp": 2, "kod": -1, "red": 0, "normp": 13, "rootno": 1, "ord_cond": 2, "ord_disc": 6, "ord_den_j": 0}], "minD": "(-66240*w+162800)", "n_bad_primes": 4, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 30891577600, "number": 8, "omega": {"__RealLiteral__": 0, "data": "0.83118745314622114237037906877282822768", "prec": 133}, "potential_good_reduction": false, "q_curve": true, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "2.2584918242450024499606972329623245278", "prec": 130}, "root_analytic_conductor": 2.881742842484937, "semistable": false, "sha": 1, "short_class_label": "67600.4-d", "short_label": "67600.4-d8", "signature": [0, 1], "tamagawa_product": 4, "torsion_gens": ["[[6,17/2],[5/4,-29/4],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 469134327176459509}