{"Lvalue": {"__RealLiteral__": 0, "data": "1.12756523308851", "prec": 54}, "abs_disc": 1125, "ainvs": "-2,1,1,0;-2,4,1,-1;0,-2,0,1;0,-6,1,2;-2,-9,1,3", "analytic_rank": 1, "bad_primes": ["(-2*w^3+w^2+7*w-2)"], "base_change": [], "class_deg": 3, "class_label": "4.4.1125.1-89.3-b", "class_size": 2, "cm": 0, "cm_type": 0, "conductor_ideal": "(-2*w^3+w^2+7*w-2)", "conductor_label": "89.3", "conductor_norm": 89, "conductor_norm_factors": [89], "degree": 4, "disc": "(2*w^3-w^2-7*w+2)", "equation": "{y}^2+\\left(a^{2}+a-2\\right){x}{y}+\\left(a^{3}-2a\\right){y}={x}^{3}+\\left(-a^{3}+a^{2}+4a-2\\right){x}^{2}+\\left(2a^{3}+a^{2}-6a\\right){x}+3a^{3}+a^{2}-9a-2", "field_label": "4.4.1125.1", "galois_images": ["3B.1.2"], "gens": ["[[3,-4,-1,1],[9,-4,-2,1],[1,0,0,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.0064140980211483264685894835297725584755", "prec": 140}], "iso_label": "b", "iso_nlabel": 1, "isodeg": [1, 3], "isogeny_matrix": [[1, 3], [3, 1]], "jinv": "51251/89,246723/89,-10986/89,-79441/89", "label": "4.4.1125.1-89.3-b2", "local_data": [{"p": "(-2*w^3+w^2+7*w-2)", "cp": 1, "kod": 5, "red": 1, "normp": 89, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}], "minD": "(-2*w^3+w^2+7*w-2)", "n_bad_primes": 1, "ngens": 1, "non_min_p": [], "nonmax_primes": [3], "nonmax_rad": 3, "normdisc": -89, "number": 2, "omega": {"__RealLiteral__": 0, "data": "1474.0844125343780183372939428680433091", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [3], "reg": {"__RealLiteral__": 0, "data": "0.0064140980211483264685894835297725584755", "prec": 140}, "root_analytic_conductor": 5.252772183659607, "semistable": true, "sha": 1, "short_class_label": "89.3-b", "short_label": "89.3-b2", "signature": [4, 0], "tamagawa_product": 1, "torsion_gens": [], "torsion_order": 1, "torsion_primes": [], "torsion_structure": [], "trace_hash": 693005975150885884}