{"torsion_structure": [4], "ainvs": "0,1;0,0;0,1;17225,2380;254850,-605612", "cm": 0, "torsion_gens": ["[[-14,28],[-296,290],[1,0]]"], "number": 6, "rank": 0, "field_label": "2.0.8.1", "galois_images": ["2B"], "conductor_norm": 7056, "abs_disc": 8, "iso_nlabel": 5, "rank_bounds": [0, 0], "conductor_ideal": "(84)", "base_change": [], "local_data": [{"p": "(w)", "cp": 4, "kod": -9, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 4, "ord_disc": 13, "ord_den_j": 1}, {"p": "(-w-1)", "cp": 32, "kod": 36, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 32, "ord_den_j": 32}, {"p": "(w-1)", "cp": 8, "kod": 12, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(7)", "cp": 1, "kod": 5, "red": 1, "normp": 49, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 0, "minD": "(-925767807552*w+1779351598080)", "label": "2.0.8.1-7056.2-f6", "jinv": "175460189537451816680/1853020188851841,4649899211841477010577/25942282643925774", "conductor_label": "7056.2", "class_deg": 16, "reg": 1, "class_size": 8, "isogeny_degrees": [1, 2, 4, 8, 16], "class_label": "2.0.8.1-7056.2-f", "iso_label": "f", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "7056.2-f6", "short_class_label": "7056.2-f", "isogeny_matrix": [[1, 8, 4, 8, 16, 16, 2, 4], [8, 1, 2, 4, 2, 2, 4, 8], [4, 2, 1, 2, 4, 4, 2, 4], [8, 4, 2, 1, 8, 8, 4, 8], [16, 2, 4, 8, 1, 4, 8, 16], [16, 2, 4, 8, 4, 1, 8, 16], [2, 4, 2, 4, 8, 8, 1, 2], [4, 8, 4, 8, 16, 16, 2, 1]], "torsion_order": 4, "non-surjective_primes": [2], "equation": "{y}^2+a{x}{y}+a{y}={x}^{3}+\\left(2380a+17225\\right){x}-605612a+254850", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 1964031875774813047, "heights": [], "isodeg": [1, 2, 4, 8, 16], "omega": {"__RealLiteral__": 0, "data": "0.0856364791332518", "prec": 60}, "potential_good_reduction": false, "tamagawa_product": 1024, "bad_primes": ["(w)", "(-w-1)", "(w-1)", "(7)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.87546464717201", "prec": 54}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 4, "reducible_primes": [2], "semistable": false, "disc": "(925767807552*w-1779351598080)", "normdisc": 4880184176589123676151808}