{"torsion_structure": [2], "ainvs": "1,0;1,0;1,0;-2160,0;-39540,0", "cm": 0, "torsion_gens": ["[[-109/4,0],[105/8,0],[1,0]]"], "number": 8, "rank": 0, "field_label": "2.0.3.1", "galois_images": ["2B"], "conductor_norm": 75, "abs_disc": 3, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(-10*w+5)", "base_change": ["15.a1", "45.a1"], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 12, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(5)", "cp": 1, "kod": 5, "red": 1, "normp": 25, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(405)", "label": "2.0.3.1-75.1-a8", "jinv": "1114544804970241/405,0", "conductor_label": "75.1", "class_deg": 16, "reg": 1, "class_size": 8, "class_label": "2.0.3.1-75.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "75.1-a8", "short_class_label": "75.1-a", "isogeny_matrix": [[1, 16, 8, 4, 8, 2, 16, 4], [16, 1, 8, 4, 2, 8, 4, 16], [8, 8, 1, 2, 4, 4, 8, 8], [4, 4, 2, 1, 2, 2, 4, 4], [8, 2, 4, 2, 1, 4, 2, 8], [2, 8, 4, 2, 4, 1, 8, 2], [16, 4, 8, 4, 2, 8, 1, 16], [4, 16, 8, 4, 8, 2, 16, 1]], "torsion_order": 2, "non-surjective_primes": [2], "equation": "{y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1555274189856179935, "heights": [], "isodeg": [1, 2, 4, 8, 16], "omega": {"__RealLiteral__": 0, "data": "0.558925428154382", "prec": 57}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(-2*w+1)", "(5)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.322695746401859", "prec": 57}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": true, "disc": "(405)", "normdisc": 164025, "conductor_norm_factors": [3, 5]}