{"torsion_structure": [2], "ainvs": "1,0;1,1;0,1;-23,10;-3,1", "cm": 0, "torsion_gens": ["[[15/4,-7/4],[-15/8,3/8],[1,0]]"], "number": 2, "rank": 1, "field_label": "2.2.17.1", "galois_images": ["2B", "3Ns"], "conductor_norm": 676, "abs_disc": 17, "iso_nlabel": 3, "rank_bounds": [1, 1], "conductor_ideal": "(20*w-42)", "base_change": [], "local_data": [{"p": "(-w+2)", "cp": 1, "kod": 7, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 3, "ord_den_j": 3}, {"p": "(-w-1)", "cp": 2, "kod": 10, "red": -1, "normp": 2, "rootno": 1, "ord_cond": 1, "ord_disc": 6, "ord_den_j": 6}, {"p": "(2*w+1)", "cp": 2, "kod": 3, "red": 0, "normp": 13, "rootno": -1, "ord_cond": 2, "ord_disc": 3, "ord_den_j": 0}], "analytic_rank": 1, "minD": "(-88*w-1032)", "label": "2.2.17.1-676.5-d2", "jinv": "1983951/16,5010665/64", "conductor_label": "676.5", "class_deg": 2, "reg": {"__RealLiteral__": 0, "data": "0.17665379660021917737888542353817001100", "prec": 133}, "class_size": 2, "class_label": "2.2.17.1-676.5-d", "iso_label": "d", "degree": 2, "non_min_p": [], "q_curve": false, "short_label": "676.5-d2", "short_class_label": "676.5-d", "isogeny_matrix": [[1, 2], [2, 1]], "torsion_order": 2, "equation": "{y}^2+{x}{y}+a{y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(10a-23\\right){x}+a-3", "gens": ["[[-1,0],[4,-2],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 53762398133030627, "heights": [{"__RealLiteral__": 0, "data": "0.17665379660021917737888542353817001100", "prec": 133}], "isodeg": [1, 2], "omega": {"__RealLiteral__": 0, "data": "20.241305142568610365129152707321636417", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 4, "bad_primes": ["(-w+2)", "(-w-1)", "(2*w+1)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.7344709188926629074588896721388551027", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": false, "disc": "(88*w+1032)", "normdisc": 1124864, "conductor_norm_factors": [2, 13], "nonmax_primes": [2, 3], "nonmax_rad": 6, "root_analytic_conductor": 1.8786664869903316, "cm_type": 0}