{
  "id": 2048,
  "curve_key": "72041008:-610361999360",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-1500854",
    "706937784"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 54.27823821120204,
  "faltings_height": 2.3185345159844855,
  "conductor": "168006048",
  "bad_primes": [
    "2",
    "3",
    "7",
    "29",
    "37",
    "233"
  ],
  "discriminant": "777980011536189504",
  "regulator": "793.9200487187712978675013383763882437675051357",
  "points": [
    [
      "64289/16",
      "15615369/64"
    ],
    [
      "38453/4",
      "-7481565/8"
    ],
    [
      "43268/49",
      "2857140/343"
    ],
    [
      "486308/169",
      "312307380/2197"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1509 (hdeping).",
  "created_at": "2026-09-26 05:09:02",
  "updated_at": "2026-09-26 05:09:02"
}