{"Lvalue": {"__RealLiteral__": 0, "data": "4.65411891", "prec": 34}, "abs_disc": 173513, "ainvs": "2,-3,-6,-1,1;0,-7,-1,1,0;2,3,-5,-2,1;36,-70,-167,-28,27;-114,204,584,113,-98", "analytic_rank": 1, "bad_primes": ["(w^2-2*w-1)"], "base_change": [], "class_deg": 6, "class_label": "5.5.173513.1-47.1-e", "class_size": 4, "cm": 0, "cm_type": 0, "conductor_ideal": "(w^2-2*w-1)", "conductor_label": "47.1", "conductor_norm": 47, "conductor_norm_factors": [47], "degree": 5, "disc": "(4*w^4-2*w^3-32*w^2-15*w+15)", "equation": "{y}^2+\\left(a^{4}-a^{3}-6a^{2}-3a+2\\right){x}{y}+\\left(a^{4}-2a^{3}-5a^{2}+3a+2\\right){y}={x}^{3}+\\left(a^{3}-a^{2}-7a\\right){x}^{2}+\\left(27a^{4}-28a^{3}-167a^{2}-70a+36\\right){x}-98a^{4}+113a^{3}+584a^{2}+204a-114", "field_label": "5.5.173513.1", "galois_images": ["2B", "3B"], "gens": ["[[2,-2,-6,-1,1],[-7,11,26,4,-4],[1,0,0,0,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.14000326072192875519836900023002201587", "prec": 133}], "iso_label": "e", "iso_nlabel": 4, "isodeg": [1, 2, 3, 6], "isogeny_matrix": [[1, 2, 6, 3], [2, 1, 3, 6], [6, 3, 1, 2], [3, 6, 2, 1]], "jinv": "-192129421942987/103823,702666179595819/103823,117344406243886/103823,-1038460121005630/103823,294224708001177/103823", "label": "5.5.173513.1-47.1-e3", "local_data": [{"p": "(w^2-2*w-1)", "cp": 1, "kod": 7, "red": -1, "normp": 47, "rootno": 1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}], "minD": "(4*w^4-2*w^3-32*w^2-15*w+15)", "n_bad_primes": 1, "ngens": 1, "non_min_p": [], "nonmax_primes": [2, 3], "nonmax_rad": 6, "normdisc": -103823, "number": 3, "omega": {"__RealLiteral__": 0, "data": "11077.845921662442953182253332857364303", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2, 3], "reg": {"__RealLiteral__": 0, "data": "0.14000326072192875519836900023002201587", "prec": 133}, "root_analytic_conductor": 54.703403604990115, "semistable": true, "sha": 1, "short_class_label": "47.1-e", "short_label": "47.1-e3", "signature": [5, 0], "tamagawa_product": 1, "torsion_gens": ["[[3,-4,-17,-4,3],[7,-17,-37,-6,6],[1,0,0,0,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 861591840301524322}