{"torsion_structure": [9], "ainvs": "1,0;-1,0;1,0;-14,0;29,0", "cm": 0, "torsion_gens": ["[[-3,0],[-5,0],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.0.8.1", "galois_images": ["3B.1.1"], "conductor_norm": 1458, "abs_disc": 8, "iso_nlabel": 4, "rank_bounds": [0, 0], "conductor_ideal": "(27*w)", "base_change": ["1728.z2", "54.b2"], "local_data": [{"p": "(w)", "cp": 18, "kod": 22, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 18, "ord_den_j": 18}, {"p": "(-w-1)", "cp": 3, "kod": 4, "red": 0, "normp": 3, "rootno": 1, "ord_cond": 3, "ord_disc": 5, "ord_den_j": 0}, {"p": "(w-1)", "cp": 3, "kod": 4, "red": 0, "normp": 3, "rootno": 1, "ord_cond": 3, "ord_disc": 5, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(124416)", "label": "2.0.8.1-1458.4-e2", "jinv": "-1167051/512,0", "conductor_label": "1458.4", "class_deg": 9, "reg": 1, "class_size": 3, "class_label": "2.0.8.1-1458.4-e", "iso_label": "e", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "1458.4-e2", "short_class_label": "1458.4-e", "isogeny_matrix": [[1, 9, 3], [9, 1, 3], [3, 3, 1]], "torsion_order": 9, "equation": "{y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-14{x}+29", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1387625552626388447, "heights": [], "isodeg": [1, 3, 9], "omega": {"__RealLiteral__": 0, "data": "1.8783784089457941130346815603605461542", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 162, "bad_primes": ["(w)", "(-w-1)", "(w-1)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.6564282211999378416670771132647941343", "prec": 130}, "sha": 1, "torsion_primes": [3], "n_bad_primes": 3, "reducible_primes": [3], "semistable": false, "disc": "(-124416)", "normdisc": 15479341056, "conductor_norm_factors": [2, 3], "nonmax_primes": [3], "nonmax_rad": 3, "root_analytic_conductor": 1.5617910437660594, "cm_type": 0}