{"Lvalue": {"__RealLiteral__": 0, "data": "4.4654067283277411227774149515596189222", "prec": 130}, "abs_disc": 12, "ainvs": "0,0;1,0;0,0;-33,10;-69,50", "analytic_rank": 1, "bad_primes": ["(w+1)", "(w)"], "base_change": [], "class_deg": 4, "class_label": "2.2.12.1-3072.1-d", "class_size": 4, "cm": 0, "cm_type": 0, "conductor_ideal": "(32*w)", "conductor_label": "3072.1", "conductor_norm": 3072, "conductor_norm_factors": [2, 3], "degree": 2, "disc": "(-2048*w-6144)", "equation": "{y}^2={x}^{3}+{x}^{2}+\\left(10a-33\\right){x}+50a-69", "field_label": "2.2.12.1", "galois_images": ["2B"], "gens": ["[[20,-10],[114,-65],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "2.4150504675040355184877912054543148443", "prec": 130}], "iso_label": "d", "iso_nlabel": 3, "isodeg": [1, 2, 4], "isogeny_matrix": [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], "jinv": "10335000,-17879000/3", "label": "2.2.12.1-3072.1-d3", "local_data": [{"p": "(w+1)", "cp": 2, "kod": -13, "red": 0, "normp": 2, "rootno": 1, "ord_cond": 10, "ord_disc": 23, "ord_den_j": 0}, {"p": "(w)", "cp": 1, "kod": 5, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "minD": "(2048*w+6144)", "n_bad_primes": 2, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 25165824, "number": 3, "omega": {"__RealLiteral__": 0, "data": "6.4050929237242851372000878388566735990", "prec": 130}, "potential_good_reduction": false, "q_curve": true, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "2.4150504675040355184877912054543148443", "prec": 130}, "root_analytic_conductor": 2.3045412139810555, "semistable": false, "sha": 1, "short_class_label": "3072.1-d", "short_label": "3072.1-d3", "signature": [2, 0], "tamagawa_product": 2, "torsion_gens": ["[[-1,2],[0,0],[1,0]]"], "torsion_order": 2, "torsion_primes": [2], "torsion_structure": [2], "trace_hash": 2027045399063133711}