{
  "id": 5297,
  "curve_key": "-255778112416464:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "5328710675343",
    "0"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [
    "quartic"
  ],
  "naive_height": 99.52599430857408,
  "faltings_height": 6.362073270689331,
  "conductor": "100960559863162492971262752",
  "bad_primes": [
    "2",
    "3",
    "11",
    "19",
    "23",
    "31",
    "71",
    "107",
    "523"
  ],
  "discriminant": "-9683813036365919776595610538225573030848",
  "regulator": "93353143.8036141768350134145970603110357452701662717898",
  "points": [
    [
      "1449529",
      "3281733656"
    ],
    [
      "4101889",
      "9532790036"
    ],
    [
      "23554300",
      "114863216930"
    ],
    [
      "4807/289",
      "46253646208/4913"
    ],
    [
      "185342832/121",
      "4563650216628/1331"
    ],
    [
      "500367175/289",
      "18653917023280/4913"
    ],
    [
      "1303352127/529",
      "64479353674428/12167"
    ],
    [
      "488971626649/268324",
      "551820951571186891/138991832"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 2-isogenous endpoint of the Aguirre–Castañeda–Peral parametrization at tuple (3,9,17,18), reduced by rational fourth-power scaling. Reference: “High rank elliptic curves with torsion group Z/(2Z),” Math. Comp. 73 (2004), 323–331, doi:10.1090/S0025-5718-03-01547-3.",
  "created_at": "2026-10-21 12:31:06",
  "updated_at": "2026-10-21 12:31:06"
}