{
  "id": 1161,
  "curve_key": "28810309648:-4890146714339264",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-600214784",
    "5660092102080"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4
  ],
  "naive_height": 72.25199740175951,
  "faltings_height": 3.1647138181688534,
  "conductor": "1092624",
  "bad_primes": [
    "2",
    "3",
    "13",
    "17",
    "103"
  ],
  "discriminant": "28810309632",
  "regulator": "395.39012815521442984002998113689013306162880",
  "points": [
    [
      "24961",
      "-2495896"
    ],
    [
      "168514/9",
      "26805338/27"
    ],
    [
      "378906/25",
      "26347254/125"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Obtained by computing a rational isogeny from curve#1115 and mapping all 3 independent witness points to the global minimal model. Isogenies preserve the Mordell-Weil rank; the image points are independently certified by the site verifier. Torsion computed exactly with PARI/GP elltors. Conductor is unchanged by the isogeny.",
  "created_at": "2026-09-23 21:37:59",
  "updated_at": "2026-09-23 21:37:59"
}