{
  "id": 2151,
  "curve_key": "4882806440317098081:-10789092693836682726489651729",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-101725134173272877",
    "12487375828482999661940501"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    12
  ],
  "naive_height": 129.09675545605734,
  "faltings_height": 8.428999302529514,
  "conductor": "7616139570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "17",
    "37",
    "79",
    "131"
  ],
  "discriminant": "5999565379878237696637470928500691688270856192000",
  "regulator": "102.901429801003950285706999589227800623259",
  "points": [
    [
      "142413031",
      "942657249504"
    ],
    [
      "4715180791/25",
      "-12848521255176/125"
    ]
  ],
  "submitter": "Tom Fisher",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-26 12:25:21",
  "updated_at": "2026-09-26 12:25:21"
}