{"torsion_structure": [2], "ainvs": "0,1;-1,-1;0,0;-594,265;-7218,3141", "cm": 0, "torsion_gens": ["[[-47/4,19/4],[-57/8,7/2],[1,0]]"], "number": 3, "rank": 0, "field_label": "2.2.13.1", "galois_images": ["2B", "3B"], "conductor_norm": 9, "abs_disc": 13, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(3)", "base_change": [], "local_data": [{"p": "(-w)", "cp": 2, "kod": 10, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}, {"p": "(-w+1)", "cp": 2, "kod": 12, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}], "analytic_rank": 0, "minD": "(-729*w+2916)", "label": "2.2.13.1-9.1-a3", "jinv": "13019221158502750/2187,-16961124145384625/6561", "conductor_label": "9.1", "class_deg": 24, "reg": 1, "class_size": 12, "class_label": "2.2.13.1-9.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "9.1-a3", "short_class_label": "9.1-a", "isogeny_matrix": [[1, 24, 8, 3, 6, 4, 8, 12, 12, 2, 24, 4], [24, 1, 3, 8, 4, 6, 12, 8, 2, 12, 4, 24], [8, 3, 1, 24, 12, 2, 4, 24, 6, 4, 12, 8], [3, 8, 24, 1, 2, 12, 24, 4, 4, 6, 8, 12], [6, 4, 12, 2, 1, 6, 12, 2, 2, 3, 4, 6], [4, 6, 2, 12, 6, 1, 2, 12, 3, 2, 6, 4], [8, 12, 4, 24, 12, 2, 1, 24, 6, 4, 3, 8], [12, 8, 24, 4, 2, 12, 24, 1, 4, 6, 8, 3], [12, 2, 6, 4, 2, 3, 6, 4, 1, 6, 2, 12], [2, 12, 4, 6, 3, 2, 4, 6, 6, 1, 12, 2], [24, 4, 12, 8, 4, 6, 3, 8, 2, 12, 1, 24], [4, 24, 8, 12, 6, 4, 8, 3, 12, 2, 24, 1]], "torsion_order": 2, "equation": "{y}^2+a{x}{y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(265a-594\\right){x}+3141a-7218", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 1490356237652503274, "heights": [], "isodeg": [1, 2, 3, 4, 6, 8, 12, 24], "omega": {"__RealLiteral__": 0, "data": "1.7124690822097610529783210837706329484", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["(-w)", "(-w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.47495346796569623853495052108492452402", "prec": 133}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2, 3], "semistable": true, "disc": "(729*w-2916)", "normdisc": -4782969, "conductor_norm_factors": [3], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 0.5580471018498292, "cm_type": 0}