{
  "id": 2059,
  "curve_key": "112699408:-1190337767360",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-2347904",
    "1378488384"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "naive_height": 55.62070417833734,
  "faltings_height": 2.471566637608908,
  "conductor": "1092624",
  "bad_primes": [
    "2",
    "3",
    "13",
    "17",
    "103"
  ],
  "discriminant": "8396310893438767104",
  "regulator": "395.39012815521442984002998113689013306162880",
  "points": [
    [
      "-195559/256",
      "213844995/4096"
    ],
    [
      "24909352/7569",
      "112685955200/658503"
    ],
    [
      "414001/225",
      "193423076/3375"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1115 (David Renshaw); 4-isogenous partner of curve#1161 (David Renshaw).",
  "created_at": "2026-09-26 05:11:09",
  "updated_at": "2026-09-26 05:11:09"
}