{"torsion_structure": [2, 2], "ainvs": "0,1;1,-1;0,0;-4806,878;-203226,37104", "cm": 0, "torsion_gens": ["[[-34,6],[-90,17],[1,0]]", "[[-57/2,5],[-75,57/4],[1,0]]"], "number": 5, "rank": 1, "field_label": "2.2.120.1", "galois_images": ["2Cs"], "conductor_norm": 15, "abs_disc": 120, "iso_nlabel": 2, "rank_bounds": [1, 1], "conductor_ideal": "(15,w)", "base_change": ["45.a6", "4800.bz6"], "local_data": [{"p": "(2,w)", "cp": 1, "kod": 1, "red": null, "normp": 2, "rootno": 1, "ord_cond": 0, "ord_disc": 0, "ord_den_j": 0}, {"p": "(3,w)", "cp": 4, "kod": 8, "red": 1, "normp": 3, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(w+5)", "cp": 2, "kod": 8, "red": -1, "normp": 5, "rootno": 1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 1, "minD": "(225)", "label": "2.2.120.1-15.1-c5", "jinv": "13997521/225,0", "conductor_label": "15.1", "class_deg": 16, "reg": {"__RealLiteral__": 0, "data": "4.2977837449033302599224784820981069687", "prec": 130}, "class_size": 8, "class_label": "2.2.120.1-15.1-c", "iso_label": "c", "degree": 2, "non_min_p": ["(2,w)"], "q_curve": true, "short_label": "15.1-c5", "short_class_label": "15.1-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": 4, "equation": "{y}^2+a{x}{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(878a-4806\\right){x}+37104a-203226", "gens": ["[[1247/18,-115/9],[-9775/27,2393/36],[1,0]]"], "ngens": 1, "signature": [2, 0], "trace_hash": 2016240312097137483, "heights": [{"__RealLiteral__": 0, "data": "4.2977837449033302599224784820981069687", "prec": 130}], "isodeg": [1, 2, 4, 8], "omega": {"__RealLiteral__": 0, "data": "10.191956926864856360574667107766048810", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 8, "bad_primes": ["(3,w)", "(w+5)"], "Lvalue": {"__RealLiteral__": 0, "data": "3.9986327209667215362999747303396083640", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 2, "reducible_primes": [2], "semistable": true, "disc": "(14400)", "normdisc": 207360000, "conductor_norm_factors": [3, 5], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 1.926424492835531, "cm_type": 0}