{"torsion_structure": [2], "ainvs": "-2,0,1;-3,0,1;0,0,0;-484,1620,-1030;-14213,41147,-21769", "cm": 0, "torsion_gens": ["[[-23/4,95/4,-3/4],[23/4,3/8,-69/8],[1,0,0]]"], "number": 1, "rank": 0, "field_label": "3.3.49.1", "galois_images": ["2B"], "conductor_norm": 91, "abs_disc": 49, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(4*w+1)", "base_change": [], "local_data": [{"p": "(-w^2-w+2)", "cp": 2, "kod": 20, "red": -1, "normp": 7, "rootno": 1, "ord_cond": 1, "ord_disc": 16, "ord_den_j": 16}, {"p": "(-2*w^2+w+2)", "cp": 2, "kod": 6, "red": 1, "normp": 13, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 0, "minD": "(-168070*w^2+67228*w+218491)", "label": "3.3.49.1-91.1-a1", "jinv": "2876031146228402085760/19882681,-8058460190096647498093/19882681,3586352161337298910516/19882681", "conductor_label": "91.1", "class_deg": 16, "reg": 1, "class_size": 8, "class_label": "3.3.49.1-91.1-a", "iso_label": "a", "degree": 3, "non_min_p": [], "q_curve": false, "short_label": "91.1-a1", "short_class_label": "91.1-a", "isogeny_matrix": [[1, 16, 8, 4, 16, 8, 2, 4], [16, 1, 2, 4, 4, 8, 8, 16], [8, 2, 1, 2, 2, 4, 4, 8], [4, 4, 2, 1, 4, 2, 2, 4], [16, 4, 2, 4, 1, 8, 8, 16], [8, 8, 4, 2, 8, 1, 4, 8], [2, 8, 4, 2, 8, 4, 1, 2], [4, 16, 8, 4, 16, 8, 2, 1]], "torsion_order": 2, "equation": "{y}^2+\\left(a^{2}-2\\right){x}{y}={x}^{3}+\\left(a^{2}-3\\right){x}^{2}+\\left(-1030a^{2}+1620a-484\\right){x}-21769a^{2}+41147a-14213", "gens": [], "ngens": 0, "signature": [3, 0], "trace_hash": 2262017280853348258, "heights": [], "isodeg": [1, 2, 4, 8, 16], "omega": {"__RealLiteral__": 0, "data": "0.28476758730966484282676866464179451164", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["(-w^2-w+2)", "(-2*w^2+w+2)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.65089734242209106931832837632410174088", "prec": 133}, "sha": 16, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": true, "disc": "(-168070*w^2+67228*w+218491)", "normdisc": 5616365266262569, "conductor_norm_factors": [7, 13], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 1.3266106889738836, "cm_type": 0}