{
  "id": 2561,
  "curve_key": "104588904486721:-1069617305989002336481",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2178935510140",
    "1237982811464867600"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    8
  ],
  "naive_height": 96.84317575884056,
  "faltings_height": 5.374342533534587,
  "conductor": "266910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "31",
    "41"
  ],
  "discriminant": "757051842880264964991840000",
  "regulator": "11.25665795570367861784810810444688171373",
  "points": [
    [
      "69048190/81",
      "-552675950/729"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1080 via the rational 2-torsion point x=-426120. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny.",
  "created_at": "2026-09-26 20:09:20",
  "updated_at": "2026-09-26 20:09:20"
}