{"torsion_structure": [2], "ainvs": [1, -1, 0, -105840, -13219200], "num_bad_primes": 5, "cm": 0, "lmfdb_number": 1, "number": 2, "rank": 1, "sha_primes": [], "sha": 1, "nonmax_rad": 2, "torsion": 2, "iso_nlabel": 6, "aplist": [-1, 0, -1, -2, 1, -4, -1, -6, 2, 6, -4, -2, 6, 6, 12, 0, -6, 2, 0, -6, -4, 10, 4, -6, 14], "bad_primes": [2, 3, 5, 11, 17], "real_period": {"data": "0.264700213424", "prec": 47, "__RealLiteral__": 0}, "min_quad_twist": {"disc": -3, "label": "5610bk2", "lmfdb_label": "5610.bl1"}, "isogeny_matrix": [[1, 2], [2, 1]], "local_data": [{"ord_disc": 7, "ord_cond": 1, "kod": "\\\\( I_{7} \\\\)", "ord_den_j": 7, "p": 2, "cp": 1, "rootno": 1, "red": -1}, {"ord_disc": 12, "ord_cond": 2, "kod": "\\\\( I_6^{*} \\\\)", "ord_den_j": 6, "p": 3, "cp": 4, "rootno": -1, "red": 0}, {"ord_disc": 4, "ord_cond": 1, "kod": "\\\\( I_{4} \\\\)", "ord_den_j": 4, "p": 5, "cp": 2, "rootno": 1, "red": -1}, {"ord_disc": 2, "ord_cond": 1, "kod": "\\\\( I_{2} \\\\)", "ord_den_j": 2, "p": 11, "cp": 2, "rootno": -1, "red": 1}, {"ord_disc": 1, "ord_cond": 1, "kod": "\\\\( I_{1} \\\\)", "ord_den_j": 1, "p": 17, "cp": 1, "rootno": 1, "red": -1}], "conductor": 16830, "lmfdb_iso": "16830.g", "2adic_label": "X6", "label": "16830u2", "tor_gro": {"2:2:136:1": "2,2", "4:0:592416:2": "4"}, "jinv": "179865548102096641/119964240000", "manin_constant": 1, "2adic_log_level": 1, "class_deg": 2, "nonmax_primes": [2], "class_size": 2, "sha_an": {"data": "1.0", "prec": 10, "__RealLiteral__": 0}, "isogeny_degrees": [1, 2], "torsion_generators": ["(-765/4, 765/8)"], "degree": 86016, "iwp0": 0, "2adic_gens": [[1, 1, 0, 1]], "iwdata": {"11": [4, 0], "13": [1, 0], "17": [1, 0], "23": [1, 0], "19": [3, 0], "47": [1, 0], "31": [1, 0], "37": [1, 0], "43": [1, 0], "29": [1, 0], "3": "a", "2": [8, 1], "5": [1, 0], "7": [1, 0], "41": [1, 0]}, "torsion_primes": [2], "optimality": 0, "tor_degs": [2, 4], "signD": 1, "tamagawa_product": 16, "special_value": {"data": "2.70379821084", "prec": 44, "__RealLiteral__": 0}, "heights": [2.5536418878013545], "modp_images": ["2B"], "num_int_pts": 4, "trace_hash": 1028382696016528446, "equation": "\\( y^2 + x y = x^{3} - x^{2} - 105840 x - 13219200 \\)", "tor_fields": ["2.2.136.1", "4.0.592416.2"], "gens": ["(-185:155:1)"], "regulator": {"data": "2.5536418878", "prec": 40, "__RealLiteral__": 0}, "semistable": false, "anlist": [0, 1, -1, 0, 1, -1, 0, -2, -1, 0, 1, 1, 0, -4, 2, 0, 1, -1, 0, -6, -1], "iso": "16830u", "2adic_index": 3, "xcoord_integral_points": [-185, 477], "lmfdb_label": "16830.g1"}