{"torsion_structure": [], "ainvs": "0,1;1,0;0,1;-28,0;53,0", "cm": 0, "torsion_gens": [], "number": 1, "rank": 1, "field_label": "2.0.4.1", "galois_images": ["3B.1.2"], "conductor_norm": 1458, "abs_disc": 4, "iso_nlabel": 3, "rank_bounds": [1, 1], "conductor_ideal": "(27*w+27)", "base_change": ["54.b1", "432.b1"], "local_data": [{"p": "(w+1)", "cp": 2, "kod": 6, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(3)", "cp": 3, "kod": -4, "red": 0, "normp": 9, "rootno": -1, "ord_cond": 3, "ord_disc": 9, "ord_den_j": 0}], "analytic_rank": 1, "minD": "(39366)", "label": "2.0.4.1-1458.1-d1", "jinv": "-132651/2,0", "conductor_label": "1458.1", "class_deg": 9, "reg": {"__RealLiteral__": 0, "data": "0.077107140053384629353304773244239858483", "prec": 137}, "class_size": 3, "class_label": "2.0.4.1-1458.1-d", "iso_label": "d", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "1458.1-d1", "short_class_label": "1458.1-d", "isogeny_matrix": [[1, 9, 3], [9, 1, 3], [3, 3, 1]], "torsion_order": 1, "equation": "{y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-28{x}+53", "gens": ["[[-1,0],[9,0],[1,0]]"], "ngens": 1, "signature": [0, 1], "trace_hash": 2196392826764352928, "heights": [{"__RealLiteral__": 0, "data": "0.077107140053384629353304773244239858483", "prec": 137}], "isodeg": [1, 3, 9], "omega": {"__RealLiteral__": 0, "data": "1.8783784089457941130346815603605461542", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 6, "bad_primes": ["(w+1)", "(3)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.7380366446220456107811508832521934866", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 2, "reducible_primes": [3], "semistable": false, "disc": "(-39366)", "normdisc": 1549681956, "conductor_norm_factors": [2, 3], "nonmax_primes": [3], "nonmax_rad": 3, "root_analytic_conductor": 1.1043530378433966, "cm_type": 0}