{"torsion_structure": [], "ainvs": [0, 1, 0, -24810, -1506583], "num_bad_primes": 3, "cm": 0, "lmfdb_number": 1, "number": 1, "rank": 0, "sha_primes": [], "sha": 1, "nonmax_rad": 2, "torsion": 1, "iso_nlabel": 4, "aplist": [0, 1, 1, 0, -5, 2, 3, 3, -1, -10, 11, 7, 1, 8, 7, -11, 7, 1, 7, -12, 5, 9, 0, 3, -2], "bad_primes": [2, 7, 41], "real_period": {"data": "0.380503761866", "prec": 47, "__RealLiteral__": 0}, "min_quad_twist": {"disc": -7, "label": "8036b1", "lmfdb_label": "8036.a1"}, "isogeny_matrix": [[1]], "local_data": [{"ord_disc": 4, "ord_cond": 2, "kod": "\\\\( IV \\\\)", "ord_den_j": 0, "p": 2, "cp": 3, "rootno": -1, "red": 0}, {"ord_disc": 10, "ord_cond": 2, "kod": "\\\\( II^{*} \\\\)", "ord_den_j": 0, "p": 7, "cp": 1, "rootno": -1, "red": 0}, {"ord_disc": 2, "ord_cond": 1, "kod": "\\\\( I_{2} \\\\)", "ord_den_j": 2, "p": 41, "cp": 2, "rootno": -1, "red": 1}], "conductor": 8036, "lmfdb_iso": "8036.e", "2adic_label": "X2", "label": "8036e1", "tor_gro": {"3:3:49:1": "2,2"}, "jinv": "373698304/1681", "manin_constant": 1, "2adic_log_level": 1, "class_deg": 1, "nonmax_primes": [2], "class_size": 1, "sha_an": {"data": "1.0", "prec": 10, "__RealLiteral__": 0}, "isogeny_degrees": [1], "torsion_generators": [], "degree": 17136, "iwp0": 0, "2adic_gens": [[0, 1, 1, 1]], "iwdata": {"11": [0, 0], "13": [0, 0], "17": [0, 0], "23": [0, 0], "19": [0, 0], "47": [0, 0], "31": [0, 0], "37": [0, 0], "43": [0, 0], "29": [0, 0], "3": [4, 0], "2": "a", "5": [4, 0], "7": "a", "41": [1, 0]}, "torsion_primes": [], "optimality": 1, "tor_degs": [3], "signD": 1, "tamagawa_product": 6, "special_value": {"data": "2.2830225712", "prec": 40, "__RealLiteral__": 0}, "heights": [], "modp_images": ["2Cn"], "num_int_pts": 0, "trace_hash": 1030355418862708336, "equation": "\\( y^2 = x^{3} + x^{2} - 24810 x - 1506583  \\)", "tor_fields": ["3.3.49.1"], "gens": [], "regulator": {"data": "1.0", "prec": 10, "__RealLiteral__": 0}, "semistable": false, "anlist": [0, 1, 0, 1, 0, 1, 0, 0, 0, -2, 0, -5, 0, 2, 0, 1, 0, 3, 0, 3, 0], "iso": "8036e", "2adic_index": 2, "xcoord_integral_points": [], "lmfdb_label": "8036.e1"}