{"Lvalue": {"__RealLiteral__": 0, "data": "2.7600908619534307428088100078951644970", "prec": 130}, "abs_disc": 12, "ainvs": "0,0;-1,1;0,0;6724,-3882;-377400,217892", "analytic_rank": 1, "bad_primes": ["(w+1)", "(w)"], "base_change": [], "class_deg": 16, "class_label": "2.2.12.1-3072.1-f", "class_size": 8, "cm": 0, "cm_type": 0, "conductor_ideal": "(32*w)", "conductor_label": "3072.1", "conductor_norm": 3072, "conductor_norm_factors": [2, 3], "degree": 2, "disc": "(384)", "equation": "{y}^2={x}^{3}+\\left(a-1\\right){x}^{2}+\\left(-3882a+6724\\right){x}+217892a-377400", "field_label": "2.2.12.1", "galois_images": ["2B"], "gens": ["[[50,-29],[-627,362],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.46493596224491267524485010511186064233", "prec": 133}], "iso_label": "f", "iso_nlabel": 5, "isodeg": [1, 2, 4, 8], "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]], "jinv": "2048/3,0", "label": "2.2.12.1-3072.1-f3", "local_data": [{"p": "(w+1)", "cp": 2, "kod": -1, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 10, "ord_disc": 14, "ord_den_j": 0}, {"p": "(w)", "cp": 2, "kod": 6, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "minD": "(384)", "n_bad_primes": 2, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 147456, "number": 3, "omega": {"__RealLiteral__": 0, "data": "10.282314113382456048263560049099101138", "prec": 130}, "potential_good_reduction": false, "q_curve": true, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "0.46493596224491267524485010511186064233", "prec": 133}, "root_analytic_conductor": 2.3045412139810555, "semistable": false, "sha": 1, "short_class_label": "3072.1-f", "short_label": "3072.1-f3", "signature": [2, 0], "tamagawa_product": 4, "torsion_gens": ["[[24,-14],[0,0],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 1722259632343436336}