{"torsion_structure": [2, 4], "ainvs": "0,1;-1,0;0,1;-54,0;84,0", "cm": 0, "torsion_gens": ["[[3,0],[0,-2],[1,0]]", "[[3/2,0],[-21/4,-5/4],[1,0]]"], "number": 5, "rank": 2, "field_label": "2.2.60.1", "galois_images": ["2Cs"], "conductor_norm": 147, "abs_disc": 60, "iso_nlabel": 10, "rank_bounds": [2, 2], "conductor_ideal": "(21,7*w)", "base_change": ["336.a2", "1575.c2"], "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": "(7,w+1)", "cp": 4, "kod": 8, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}, {"p": "(7,w+6)", "cp": 4, "kod": 8, "red": 1, "normp": 7, "rootno": -1, "ord_cond": 1, "ord_disc": 4, "ord_den_j": 4}], "analytic_rank": 2, "minD": "(21609)", "label": "2.2.60.1-147.1-k5", "jinv": "13027640977/21609,0", "conductor_label": "147.1", "class_deg": 8, "reg": {"__RealLiteral__": 0, "data": "0.70536454383086538133062292393691872582", "prec": 133}, "class_size": 6, "class_label": "2.2.60.1-147.1-k", "iso_label": "k", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "147.1-k5", "short_class_label": "147.1-k", "isogeny_matrix": [[1, 8, 4, 8, 2, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [2, 4, 2, 4, 1, 2], [4, 8, 4, 8, 2, 1]], "torsion_order": 8, "equation": "{y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-54{x}+84", "gens": ["[[8/3,0],[0,-20/9],[1,0]]", "[[31/2,0],[245/4,-33/4],[1,0]]"], "ngens": 2, "signature": [2, 0], "trace_hash": 1594947904803455991, "heights": [{"__RealLiteral__": 0, "data": "0.47257489731547852050412714192210142887", "prec": 133}, {"__RealLiteral__": 0, "data": "1.4925984173890274178188752072631063538", "prec": 130}], "isodeg": [1, 2, 4], "omega": {"__RealLiteral__": 0, "data": "14.607527768551696889610408346184048628", "prec": 130}, "potential_good_reduction": false, "tamagawa_product": 32, "bad_primes": ["(3,w)", "(7,w+1)", "(7,w+6)"], "Lvalue": {"__RealLiteral__": 0, "data": "2.6603863843233157865792345975596401302", "prec": 130}, "sha": 1, "torsion_primes": [2], "n_bad_primes": 3, "reducible_primes": [2], "semistable": true, "disc": "(21609)", "normdisc": 466948881, "conductor_norm_factors": [3, 7], "nonmax_primes": [2], "nonmax_rad": 2, "root_analytic_conductor": 2.4101468915478255, "cm_type": 0}