{"torsion_structure": [2], "ainvs": "0,0;-1,0;0,0;-3,2;-1,2", "cm": 0, "torsion_gens": ["[[-1,0],[0,0],[1,0]]"], "number": 1, "rank": 2, "field_label": "2.0.8.1", "galois_images": ["2B"], "conductor_norm": 36864, "abs_disc": 8, "iso_nlabel": 0, "rank_bounds": [2, 2], "conductor_ideal": "(192)", "base_change": [], "local_data": [{"p": "(w)", "cp": 4, "kod": -6, "red": 0, "normp": 2, "rootno": -1, "ord_cond": 12, "ord_disc": 18, "ord_den_j": 0}, {"p": "(-w-1)", "cp": 2, "kod": 6, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(w-1)", "cp": 1, "kod": 5, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "analytic_rank": 2, "minD": "(-1536*w-1536)", "label": "2.0.8.1-36864.2-a1", "jinv": "-31168/9,-1664/9", "conductor_label": "36864.2", "class_deg": 2, "reg": {"__RealLiteral__": 0, "data": "0.29529840846142262116226572069559646880", "prec": 133}, "class_size": 2, "class_label": "2.0.8.1-36864.2-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "36864.2-a1", "short_class_label": "36864.2-a", "isogeny_matrix": [[1, 2], [2, 1]], "torsion_order": 2, "equation": "{y}^2={x}^{3}-{x}^{2}+\\left(2a-3\\right){x}+2a-1", "gens": ["[[1,2],[2,-4],[1,0]]", "[[3,-1],[-2,2],[1,0]]"], "ngens": 2, "signature": [0, 1], "trace_hash": 566262302988990468, "heights": [{"__RealLiteral__": 0, "data": "0.78727572579102006225076588616620527389", "prec": 133}, {"__RealLiteral__": 0, "data": "0.93922680172070455241833453077823327537", "prec": 133}], "isodeg": [1, 2], "omega": {"__RealLiteral__": 0, "data": "3.5104014368625980369188417993495737134", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(w)", "(-w-1)", "(w-1)"], "Lvalue": {"__RealLiteral__": 0, "data": "5.8639853835186929611438474703758648292", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": false, "disc": "(1536*w+1536)", "normdisc": 7077888, "conductor_norm_factors": [2, 3], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 3.5021453068752972, "cm_type": 0}