{"torsion_structure": [2], "ainvs": "0,1;0,1;1,0;1,0;0,0", "cm": 0, "torsion_gens": ["[[-1/2,0],[-1/2,1/4],[1,0]]"], "number": 2, "rank": 1, "field_label": "2.2.24.1", "galois_images": ["2B"], "conductor_norm": 23, "abs_disc": 24, "iso_nlabel": 1, "rank_bounds": [1, 1], "conductor_ideal": "(-2*w+1)", "base_change": [], "local_data": [{"p": "(-2*w+1)", "cp": 2, "kod": 6, "red": 1, "normp": 23, "rootno": -1, "ord_cond": 1, "ord_disc": 2, "ord_den_j": 2}], "analytic_rank": 1, "minD": "(-4*w+25)", "label": "2.2.24.1-23.1-b2", "jinv": "6322752/529,1596672/529", "conductor_label": "23.1", "class_deg": 2, "reg": {"__RealLiteral__": 0, "data": "0.078486626119512352998740350071363290953", "prec": 137}, "class_size": 2, "class_label": "2.2.24.1-23.1-b", "iso_label": "b", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "23.1-b2", "short_class_label": "23.1-b", "isogeny_matrix": [[1, 2], [2, 1]], "torsion_order": 2, "equation": "{y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+{x}", "gens": ["[[0,-1],[2,1],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 1342274457692252358, "heights": [{"__RealLiteral__": 0, "data": "0.078486626119512352998740350071363290953", "prec": 137}], "isodeg": [1, 2], "omega": {"__RealLiteral__": 0, "data": "42.580640270737523831822529477078949914", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(-2*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "0.68218509644819782943868372673938729272", "prec": 133}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 1, "reducible_primes": [2], "semistable": true, "disc": "(30*w+77)", "normdisc": 529, "conductor_norm_factors": [23], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 0.9586854439235221, "cm_type": 0}