{"torsion_structure": [3], "ainvs": "0,0;0,0;1,0;-8580,-1590;359875,92750", "cm": -267, "torsion_gens": ["[[75,0],[276,-53],[1,0]]"], "number": 1, "field_label": "2.2.89.1", "galois_images": ["3B.1.1", "89B.34.19[2]"], "conductor_norm": 81, "abs_disc": 89, "iso_nlabel": 0, "conductor_ideal": "[81,9,9]", "isogeny_matrix": [[1, 267, 89, 3], [267, 1, 3, 89], [89, 3, 1, 267], [3, 89, 267, 1]], "local_data": [{"ord_disc": 3, "ord_cond": 2, "normp": 9, "kod": "III", "rootno": 1, "p": "[9,3,3]", "ord_den_j": 0, "cp": 2, "red": 0}], "minD": "[729,27,27]", "label": "2.2.89.1-81.1-a1", "jinv": "-8798344145175011328000,-2086403563729465344000", "conductor_label": "81.1", "class_deg": 267, "reg": 1, "class_size": 4, "isogeny_degrees": [1, 3, 89, 267], "class_label": "2.2.89.1-81.1-a", "iso_label": "a", "degree": 2, "non_min_p": [], "q_curve": true, "short_label": "81.1-a1", "short_class_label": "81.1-a", "base_change": [], "torsion_order": 3, "non-surjective_primes": [3, 89], "trace_hash": 1415273291090867019, "equation": "\" y^2 + y = x^{3} + \\left(-1590 a - 8580\\right) x + 92750 a + 359875  \"", "old_heights": [], "signature": [2, 0]}