{"torsion_structure": [], "ainvs": "2,3,-4,-1,1;-3,-5,4,2,-1;1,1,-3,-1,1;-72,-98,105,44,-28;332,480,-500,-218,137", "cm": 0, "torsion_gens": [], "number": 1, "rank": 0, "field_label": "5.5.36497.1", "galois_images": [], "conductor_norm": 25, "abs_disc": 36497, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(w^4-2*w^3-2*w^2+5*w)", "base_change": [], "local_data": [{"p": "(w^4-2*w^3-2*w^2+5*w)", "cp": 1, "kod": 5, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(w^4-2*w^3-2*w^2+5*w)", "label": "5.5.36497.1-25.1-b1", "jinv": "-972922/5,-577692/5,3235067/5,213601/5,-1476597/5", "conductor_label": "25.1", "class_deg": 1, "reg": 1, "class_size": 1, "class_label": "5.5.36497.1-25.1-b", "iso_label": "b", "degree": 5, "non_min_p": [], "q_curve": false, "short_label": "25.1-b1", "short_class_label": "25.1-b", "isogeny_matrix": [[1]], "torsion_order": 1, "equation": "{y}^2+\\left(a^{4}-a^{3}-4a^{2}+3a+2\\right){x}{y}+\\left(a^{4}-a^{3}-3a^{2}+a+1\\right){y}={x}^{3}+\\left(-a^{4}+2a^{3}+4a^{2}-5a-3\\right){x}^{2}+\\left(-28a^{4}+44a^{3}+105a^{2}-98a-72\\right){x}+137a^{4}-218a^{3}-500a^{2}+480a+332", "gens": [], "ngens": 0, "signature": [5, 0], "trace_hash": 91902975571502354, "heights": [], "isodeg": [1], "omega": {"__RealLiteral__": 0, "data": "424.51879790161513500343656872107901070", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 1, "bad_primes": ["(w^4-2*w^3-2*w^2+5*w)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.22212427", "prec": 34}, "sha": 1, "torsion_primes": [], "n_bad_primes": 1, "reducible_primes": [], "semistable": true, "disc": "(-w^4+4*w^2+3*w-1)", "normdisc": 25, "conductor_norm_factors": [5], "nonmax_primes": [], "nonmax_rad": 1, "root_analytic_conductor": 23.55380841165994, "cm_type": 0}