{
  "id": 2035,
  "curve_key": "141487934330698353874576:-19166133990025866432148763810031424",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2947665298556215705720",
    "22183025450436271789542330656000"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 159.9195041897246,
  "faltings_height": 11.386472908226155,
  "conductor": "1185557421935264818440",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "31",
    "67",
    "89",
    "193",
    "347",
    "2039"
  ],
  "discriminant": "1426552661534701080474530330806942167306927862744295007911381222400",
  "regulator": "7534307.037734179442494821425851534602589587876112350",
  "points": [
    [
      "2024244182144/361",
      "-16562482984266792720/6859"
    ],
    [
      "436734357109/100",
      "-3064777270194767127/1000"
    ],
    [
      "103122520",
      "4677505304472000"
    ],
    [
      "-13927303529443/484",
      "97111027591281049437/10648"
    ],
    [
      "-241002433807/16",
      "508649901193271409/64"
    ],
    [
      "-4038083912224/1369",
      "-281349812255512640640/50653"
    ],
    [
      "6553774520",
      "1773750035194800"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1830 (Dujella - Eroshkin (2008)); 4-isogenous partner of curve#3334, curve#3335 (David Renshaw).",
  "created_at": "2026-09-26 05:05:09",
  "updated_at": "2026-09-26 05:05:09"
}