{"Lvalue": {"__RealLiteral__": 0, "data": "2.1807990443685893313128782856780766879", "prec": 130}, "abs_disc": 12, "ainvs": "0,1;-1,0;0,0;-27744,0;1781010,0", "analytic_rank": 1, "bad_primes": ["(w+1)", "(w)", "(17)"], "base_change": ["816.b1", "306.b1"], "class_deg": 8, "class_label": "2.2.12.1-1734.1-b", "class_size": 6, "cm": 0, "cm_type": 0, "conductor_ideal": "(17*w+51)", "conductor_label": "1734.1", "conductor_norm": 1734, "conductor_norm_factors": [2, 3, 17], "degree": 2, "disc": "(5202)", "equation": "{y}^2+a{x}{y}={x}^{3}-{x}^{2}-27744{x}+1781010", "field_label": "2.2.12.1", "galois_images": ["2B"], "gens": ["[[54,0],[-663,-27],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "1.9134908847442385566857514407286902998", "prec": 130}], "iso_label": "b", "iso_nlabel": 1, "isodeg": [1, 2, 4, 8], "isogeny_matrix": [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], "jinv": "2361739090258884097/5202,0", "label": "2.2.12.1-1734.1-b6", "local_data": [{"p": "(w+1)", "cp": 2, "kod": 6, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}, {"p": "(w)", "cp": 2, "kod": 8, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(17)", "cp": 2, "kod": 6, "red": 1, "normp": 289, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "minD": "(5202)", "n_bad_primes": 3, "ngens": 1, "non_min_p": [], "nonmax_primes": [2], "nonmax_rad": 2, "normdisc": 27060804, "number": 6, "omega": {"__RealLiteral__": 0, "data": "3.9480248127222485065674715743879541657", "prec": 130}, "potential_good_reduction": false, "q_curve": true, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [2], "reg": {"__RealLiteral__": 0, "data": "1.9134908847442385566857514407286902998", "prec": 130}, "root_analytic_conductor": 1.997521441799333, "semistable": true, "sha": 1, "short_class_label": "1734.1-b", "short_label": "1734.1-b6", "signature": [2, 0], "tamagawa_product": 8, "torsion_gens": ["[[193/2,0],[-17/4,-193/4],[1,0]]"], "torsion_order": 4, "torsion_primes": [2], "torsion_structure": [4], "trace_hash": 1057875425710004520}