{"torsion_structure": [2], "ainvs": "1,1;1,1;0,1;-162,32;-921,150", "cm": 0, "torsion_gens": ["[[-17/2,1/4],[29/8,7/2],[1,0]]"], "number": 8, "rank": 0, "field_label": "2.2.21.1", "galois_images": ["2B", "3B"], "conductor_norm": 25, "abs_disc": 21, "iso_nlabel": 1, "rank_bounds": [0, 0], "conductor_ideal": "(5)", "base_change": [], "local_data": [{"p": "(-w)", "cp": 1, "kod": 5, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(-w+1)", "cp": 3, "kod": 7, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}], "analytic_rank": 0, "minD": "(-5*w+30)", "label": "2.2.21.1-25.1-b8", "jinv": "11720222826515406/25,32714515537919631/125", "conductor_label": "25.1", "class_deg": 12, "reg": 1, "class_size": 8, "class_label": "2.2.21.1-25.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "25.1-b8", "short_class_label": "25.1-b", "isogeny_matrix": [[1, 3, 6, 4, 12, 12, 2, 4], [3, 1, 2, 12, 4, 4, 6, 12], [6, 2, 1, 6, 2, 2, 3, 6], [4, 12, 6, 1, 12, 3, 2, 4], [12, 4, 2, 12, 1, 4, 6, 3], [12, 4, 2, 3, 4, 1, 6, 12], [2, 6, 3, 2, 6, 6, 1, 2], [4, 12, 6, 4, 3, 12, 2, 1]], "torsion_order": 2, "equation": "{y}^2+\\left(a+1\\right){x}{y}+a{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(32a-162\\right){x}+150a-921", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 525933386472605410, "heights": [], "isodeg": [1, 2, 3, 4, 6, 12], "omega": {"__RealLiteral__": 0, "data": "1.9497716853812642320500780120922883502", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 3, "bad_primes": ["(-w)", "(-w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.2764251908773237676263255389810103633", "prec": 130}, "sha": 4, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2, 3], "semistable": true, "disc": "(-5*w+30)", "normdisc": 625, "conductor_norm_factors": [5], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 0.9156578079301482, "cm_type": 0}