{"torsion_structure": [25], "ainvs": "0,0,0,0,0;-1,0,0,0,0;1,0,0,0,0;0,0,0,0,0;0,0,0,0,0", "cm": 0, "torsion_gens": ["[[15,8,-17,-3,4],[58,30,-71,-12,17],[1,0,0,0,0]]"], "number": 3, "rank": 0, "field_label": "5.5.14641.1", "galois_images": ["5B.1.1"], "conductor_norm": 11, "abs_disc": 14641, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(w^2+w-2)", "base_change": ["11.a3"], "local_data": [{"p": "(w^2+w-2)", "cp": 5, "kod": 9, "red": 1, "normp": 11, "rootno": -1, "ord_cond": 1, "ord_disc": 5, "ord_den_j": 5}], "analytic_rank": 0, "minD": "(11)", "label": "5.5.14641.1-11.1-a3", "jinv": "-4096/11,0,0,0,0", "conductor_label": "11.1", "class_deg": 25, "reg": 1, "class_size": 3, "class_label": "5.5.14641.1-11.1-a", "iso_label": "a", "degree": 5, "non_min_p": [], "q_curve": true, "short_label": "11.1-a3", "short_class_label": "11.1-a", "isogeny_matrix": [[1, 5, 25], [5, 1, 5], [25, 5, 1]], "torsion_order": 25, "equation": "{y}^2+{y}={x}^{3}-{x}^{2}", "gens": [], "ngens": 0, "signature": [5, 0], "trace_hash": 301359807124398108, "heights": [], "isodeg": [1, 5, 25], "omega": {"__RealLiteral__": 0, "data": "10292.390551553954207131037895426025294", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 5, "bad_primes": ["(w^2+w-2)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.680488632", "prec": 37}, "sha": 1, "torsion_primes": [5], "n_bad_primes": 1, "reducible_primes": [5], "semistable": true, "disc": "(-11)", "normdisc": -161051, "conductor_norm_factors": [11], "nonmax_primes": [5], "nonmax_rad": 5, "root_analytic_conductor": 13.742419205510453, "cm_type": 0}