{
  "id": 2585,
  "curve_key": "4816:188864",
  "ainvs": [
    "0",
    "1",
    "0",
    "-100",
    "-252"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 25.43909696096597,
  "faltings_height": 0.16514414167132838,
  "conductor": "220",
  "bad_primes": [
    "2",
    "5",
    "11"
  ],
  "discriminant": "44000000",
  "regulator": "1.462714244463245720724978746026371010478",
  "points": [
    [
      "-8",
      "10"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1805 via the rational 2-torsion point x=4. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny.",
  "created_at": "2026-09-26 20:11:00",
  "updated_at": "2026-09-26 20:11:00"
}