{"torsion_structure": [2], "ainvs": "0,1,0;0,-1,0;-2,0,1;6,-11,-6;11,-18,-16", "cm": 0, "torsion_gens": ["[[0,-1,-1/4],[3/4,1/2,1/8],[1,0,0]]"], "number": 6, "rank": 0, "field_label": "3.3.316.1", "galois_images": ["2B"], "conductor_norm": 16, "abs_disc": 316, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(2*w)", "base_change": [], "local_data": [{"p": "(w)", "cp": 2, "kod": -5, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 3, "ord_disc": 8, "ord_den_j": 0}, {"p": "(-w+1)", "cp": 1, "kod": 5, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(2*w^2+4*w+4)", "label": "3.3.316.1-16.1-a6", "jinv": "-810136780017,1274493239347,1898088202191/2", "conductor_label": "16.1", "class_deg": 8, "reg": 1, "class_size": 6, "class_label": "3.3.316.1-16.1-a", "iso_label": "a", "degree": 3, "non_min_p": [], "q_curve": false, "short_label": "16.1-a6", "short_class_label": "16.1-a", "isogeny_matrix": [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], "torsion_order": 2, "equation": "{y}^2+a{x}{y}+\\left(a^{2}-2\\right){y}={x}^{3}-a{x}^{2}+\\left(-6a^{2}-11a+6\\right){x}-16a^{2}-18a+11", "gens": [], "ngens": 0, "signature": [3, 0], "trace_hash": 248385312727056376, "heights": [], "isodeg": [1, 2, 4, 8], "omega": {"__RealLiteral__": 0, "data": "14.738201437832375569454567825818008185", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(w)", "(-w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.6581772119115734830690485723456003125", "prec": 130}, "sha": 4, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": false, "disc": "(-6*w^2+4*w+20)", "normdisc": -512, "conductor_norm_factors": [2], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.5215568184096373, "cm_type": 0}