{"torsion_structure": [4], "ainvs": "0,0;0,0;0,0;7,-4;0,0", "cm": -4, "torsion_gens": ["[[2,-1],[5,-3],[1,0]]"], "number": 2, "rank": 0, "field_label": "2.2.12.1", "galois_images": [], "conductor_norm": 64, "abs_disc": 12, "iso_nlabel": 0, "rank_bounds": [0, 0], "conductor_ideal": "(8)", "base_change": ["32.a4", "288.d4"], "local_data": [{"p": "(w+1)", "cp": 4, "kod": -6, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 6, "ord_disc": 12, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(64)", "label": "2.2.12.1-64.1-a2", "jinv": "1728,0", "conductor_label": "64.1", "class_deg": 4, "reg": 1, "class_size": 4, "class_label": "2.2.12.1-64.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "64.1-a2", "short_class_label": "64.1-a", "isogeny_matrix": [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], "torsion_order": 4, "equation": "{y}^2={x}^{3}+\\left(-4a+7\\right){x}", "gens": [], "ngens": 0, "signature": [2, 0], "trace_hash": 1262607109534546207, "heights": [], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "13.750371636040745654980191559621114396", "prec": 130}, "potential_good_reduction": true, "tamagawa_product": 4, "bad_primes": ["(w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.99234759569068991657906700831411630063", "prec": 133}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 1, "reducible_primes": [2], "semistable": false, "disc": "(-64)", "normdisc": 4096, "conductor_norm_factors": [2], "nonmax_primes": [], "nonmax_rad": 1, "root_analytic_conductor": 0.8755363267188243, "cm_type": -1}