{"torsion_structure": [2], "ainvs": "1,1;0,-1;1,1;-4,-3;362,92", "cm": 0, "torsion_gens": ["[[-6,-1],[10,3],[1,0]]"], "number": 3, "rank": 1, "field_label": "2.2.60.1", "galois_images": ["2B"], "conductor_norm": 15, "abs_disc": 60, "iso_nlabel": 3, "rank_bounds": [1, 1], "conductor_ideal": "(w)", "base_change": ["75.b7", "720.c7"], "local_data": [{"p": "(2,w+1)", "cp": 1, "kod": 1, "red": null, "normp": 2, "rootno": 1, "ord_cond": 0, "ord_disc": 0, "ord_den_j": 0}, {"p": "(3,w)", "cp": 2, "kod": 6, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(5,w)", "cp": 2, "kod": 6, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 1, "minD": "(15)", "label": "2.2.60.1-15.1-d3", "jinv": "-1/15,0", "conductor_label": "15.1", "class_deg": 32, "reg": {"__RealLiteral__": 0, "data": "0.32507821099828153138705828574587282952", "prec": 133}, "class_size": 10, "class_label": "2.2.60.1-15.1-d", "iso_label": "d", "degree": 2, "non_min_p": ["(2,w+1)"], "q_curve": true, "short_label": "15.1-d3", "short_class_label": "15.1-d", "isogeny_matrix": [[1, 32, 8, 16, 8, 4, 16, 2, 32, 4], [32, 1, 16, 8, 4, 8, 2, 16, 4, 32], [8, 16, 1, 8, 4, 2, 8, 4, 16, 8], [16, 8, 8, 1, 2, 4, 4, 8, 8, 16], [8, 4, 4, 2, 1, 2, 2, 4, 4, 8], [4, 8, 2, 4, 2, 1, 4, 2, 8, 4], [16, 2, 8, 4, 2, 4, 1, 8, 2, 16], [2, 16, 4, 8, 4, 2, 8, 1, 16, 2], [32, 4, 16, 8, 4, 8, 2, 16, 1, 32], [4, 32, 8, 16, 8, 4, 16, 2, 32, 1]], "torsion_order": 2, "equation": "{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}-a{x}^{2}+\\left(-3a-4\\right){x}+92a+362", "gens": ["[[10,3],[-82,-21],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 1992642278818402837, "heights": [{"__RealLiteral__": 0, "data": "0.32507821099828153138705828574587282952", "prec": 133}], "isodeg": [1, 2, 4, 8, 16], "omega": {"__RealLiteral__": 0, "data": "31.387022115061449199898491105842311300", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["(3,w)", "(5,w)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.6344644646404431079732199373426367678", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": true, "disc": "(-960)", "normdisc": 921600, "conductor_norm_factors": [3, 5], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 1.3621878223278596, "cm_type": 0}