{"Lvalue": {"__RealLiteral__": 0, "data": "3.1459706209427574486516159027663782385", "prec": 130}, "abs_disc": 8, "ainvs": "1,1;0,1;0,0;-243,183;-2063,1444", "analytic_rank": 1, "bad_primes": ["(w)", "(3)"], "base_change": [], "class_deg": 3, "class_label": "2.2.8.1-1458.1-x", "class_size": 2, "cm": 0, "cm_type": 0, "conductor_ideal": "(27*w)", "conductor_label": "1458.1", "conductor_norm": 1458, "conductor_norm_factors": [2, 3], "degree": 2, "disc": "(-78732*w)", "equation": "{y}^2+\\left(a+1\\right){x}{y}={x}^{3}+a{x}^{2}+\\left(183a-243\\right){x}+1444a-2063", "field_label": "2.2.8.1", "galois_images": ["3B.1.2"], "gens": ["[[-4,6],[-11,-6],[1,0]]"], "heights": [{"__RealLiteral__": 0, "data": "0.59517986319519361448206103963076520120", "prec": 133}], "iso_label": "x", "iso_nlabel": 23, "isodeg": [1, 3], "isogeny_matrix": [[1, 3], [3, 1]], "jinv": "734226957/2,-2076705297/8", "label": "2.2.8.1-1458.1-x2", "local_data": [{"p": "(w)", "cp": 5, "kod": 9, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 5, "ord_den_j": 5}, {"p": "(3)", "cp": 1, "kod": -4, "red": 0, "normp": 9, "rootno": 1, "ord_cond": 3, "ord_disc": 9, "ord_den_j": 0}], "minD": "(78732*w)", "n_bad_primes": 2, "ngens": 1, "non_min_p": [], "nonmax_primes": [3], "nonmax_rad": 3, "normdisc": -12397455648, "number": 2, "omega": {"__RealLiteral__": 0, "data": "1.4950352302176084274168310456533591562", "prec": 130}, "potential_good_reduction": false, "q_curve": false, "rank": 1, "rank_bounds": [1, 1], "reducible_primes": [3], "reg": {"__RealLiteral__": 0, "data": "0.59517986319519361448206103963076520120", "prec": 133}, "root_analytic_conductor": 1.5617910437660594, "semistable": false, "sha": 1, "short_class_label": "1458.1-x", "short_label": "1458.1-x2", "signature": [2, 0], "tamagawa_product": 5, "torsion_gens": [], "torsion_order": 1, "torsion_primes": [], "torsion_structure": [], "trace_hash": 274306821600121999}