{"Lvalue": {"__RealLiteral__": 0, "data": "2.2041813870560169260068283520211071688", "prec": 127}, "abs_disc": 3, "ainvs": "0,0;0,1;1,0;1,-1;-2,0", "analytic_rank": 2, "bad_primes": ["(-4*w+1)", "(4*w-3)", "(11)"], "base_change": ["143.a1", "1287.b1"], "class_deg": 1, "class_label": "2.0.3.1-20449.2-a", "class_size": 1, "cm": 0, "cm_type": 0, "conductor_ideal": "(143)", "conductor_label": "20449.2", "conductor_norm": 20449, "conductor_norm_factors": [11, 13], "degree": 2, "disc": "(-1859)", "equation": "{y}^2+{y}={x}^{3}+a{x}^{2}+\\left(-a+1\\right){x}-2", "field_label": "2.0.3.1", "galois_images": [], "gens": ["[[1,-1],[1,-2],[1,0]]", "[[0,-4],[-7,0],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.18517687397247511934363733172797894063", "prec": 127}, {"__RealLiteral__": 0, "data": "0.24003383182858753651646980838458182545", "prec": 127}], "iso_label": "a", "iso_nlabel": 0, "isodeg": [1], "isogeny_matrix": [[1]], "jinv": "-262144/1859,0", "label": "2.0.3.1-20449.2-a1", "local_data": [{"p": "(-4*w+1)", "cp": 2, "kod": 6, "red": -1, "normp": 13, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(4*w-3)", "cp": 2, "kod": 6, "red": -1, "normp": 13, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(11)", "cp": 1, "kod": 5, "red": 1, "normp": 121, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "minD": "(1859)", "n_bad_primes": 3, "ngens": 2, "non_min_p": [], "nonmax_primes": [], "nonmax_rad": 1, "normdisc": 3455881, "number": 1, "omega": {"__RealLiteral__": 0, "data": "3.9709165952963809872323792512730418430", "prec": 127}, "potential_good_reduction": false, "q_curve": true, "rank": 2, "rank_bounds": [2, 2], "reducible_primes": [], "reg": {"__RealLiteral__": 0, "data": "0.030044654520073980496819782016553515888", "prec": 127}, "root_analytic_conductor": 1.8508328521811281, "semistable": true, "sha": 1, "short_class_label": "20449.2-a", "short_label": "20449.2-a1", "signature": [0, 1], "tamagawa_product": 4, "torsion_gens": [], "torsion_order": 1, "torsion_primes": [], "torsion_structure": [], "trace_hash": 384376374458127079}