{"torsion_structure": [2, 4], "ainvs": "1,0;1,0;1,0;-10,0;-10,0", "cm": 0, "torsion_gens": ["[[-1,0],[0,0],[1,0]]", "[[-2,0],[-2,0],[1,0]]"], "number": 4, "rank": 1, "field_label": "2.2.85.1", "galois_images": ["2Cs"], "conductor_norm": 45, "abs_disc": 85, "iso_nlabel": 2, "rank_bounds": [1, 1], "conductor_ideal": "(15,3*w+6)", "base_change": ["15.a5", "21675.s5"], "local_data": [{"p": "(3,w)", "cp": 2, "kod": 8, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(3,w+2)", "cp": 2, "kod": 8, "red": -1, "normp": 3, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(5,w+2)", "cp": 8, "kod": 12, "red": 1, "normp": 5, "rootno": -1, "ord_cond": 1, "ord_disc": 8, "ord_den_j": 8}], "analytic_rank": 1, "minD": "(50625)", "label": "2.2.85.1-45.1-c4", "jinv": "111284641/50625,0", "conductor_label": "45.1", "class_deg": 16, "reg": {"__RealLiteral__": 0, "data": "2.2728583050142632756555446658871961429", "prec": 130}, "class_size": 8, "class_label": "2.2.85.1-45.1-c", "iso_label": "c", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "45.1-c4", "short_class_label": "45.1-c", "isogeny_matrix": [[1, 16, 8, 4, 8, 2, 16, 4], [16, 1, 8, 4, 2, 8, 4, 16], [8, 8, 1, 2, 4, 4, 8, 8], [4, 4, 2, 1, 2, 2, 4, 4], [8, 2, 4, 2, 1, 4, 2, 8], [2, 8, 4, 2, 4, 1, 8, 2], [16, 4, 8, 4, 2, 8, 1, 16], [4, 16, 8, 4, 8, 2, 16, 1]], "torsion_order": 8, "equation": "{y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10", "gens": ["[[73/36,-25/36],[-1657/216,125/108],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 58366619821403166, "heights": [{"__RealLiteral__": 0, "data": "2.2728583050142632756555446658871961429", "prec": 130}], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "7.8467555287653622999746227764605778250", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 32, "bad_primes": ["(3,w)", "(3,w+2)", "(5,w+2)"], "Lvalue": {"__RealLiteral__": 0, "data": "1.9344300093768039124176030705033736856", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": true, "disc": "(50625)", "normdisc": 2562890625, "conductor_norm_factors": [3, 5], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.133787392696816, "cm_type": 0}