{"torsion_structure": [], "ainvs": "1,0;0,-1;0,0;-67,-8;-201,-30", "cm": 0, "torsion_gens": [], "number": 1, "rank": 0, "field_label": "2.0.7.1", "galois_images": ["3B"], "conductor_norm": 23716, "abs_disc": 7, "iso_nlabel": 5, "rank_bounds": [0, 0], "conductor_ideal": "(-112*w+14)", "base_change": [], "local_data": [{"p": "(w)", "cp": 1, "kod": 5, "red": 1, "normp": 2, "rootno": -1, "ord_cond": 1, "ord_disc": 1, "ord_den_j": 1}, {"p": "(-w+1)", "cp": 2, "kod": 12, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}, {"p": "(-2*w+1)", "cp": 1, "kod": -2, "red": 0, "normp": 7, "rootno": -1, "ord_cond": 2, "ord_disc": 10, "ord_den_j": 0}, {"p": "(-2*w+3)", "cp": 1, "kod": 2, "red": 0, "normp": 11, "rootno": -1, "ord_cond": 2, "ord_disc": 2, "ord_den_j": 0}], "analytic_rank": 0, "minD": "(-2453822*w+3865610)", "label": "2.0.7.1-23716.4-f1", "jinv": "-176701/128,1804271/256", "conductor_label": "23716.4", "class_deg": 3, "reg": 1, "class_size": 2, "class_label": "2.0.7.1-23716.4-f", "iso_label": "f", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "23716.4-f1", "short_class_label": "23716.4-f", "isogeny_matrix": [[1, 3], [3, 1]], "torsion_order": 1, "equation": "{y}^2+{x}{y}={x}^{3}-a{x}^{2}+\\left(-8a-67\\right){x}-30a-201", "gens": [], "ngens": 0, "signature": [0, 1], "trace_hash": 152660600753514877, "heights": [], "isodeg": [1, 3], "omega": {"__RealLiteral__": 0, "data": "0.98537075079890865066480250244423264099", "prec": 133}, "potential_good_reduction": false, "tamagawa_product": 2, "bad_primes": ["(w)", "(-w+1)", "(-2*w+1)", "(-2*w+3)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.4897405461776643077272938373008749372", "prec": 130}, "sha": 1, "torsion_primes": [], "n_bad_primes": 4, "reducible_primes": [3], "semistable": false, "disc": "(-2453822*w+3865610)", "normdisc": 17499906626048, "conductor_norm_factors": [2, 7, 11], "nonmax_primes": [3], "nonmax_rad": 3, "root_analytic_conductor": 2.933917745591043, "cm_type": 0}