{
  "id": 4296,
  "curve_key": "669961002753:-456294283748804385",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-13957520891",
    "528121873348746"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 81.69145602837357,
  "faltings_height": 4.807513404950688,
  "conductor": "5685053598081",
  "bad_primes": [
    "3",
    "11",
    "13",
    "103",
    "181",
    "313",
    "757"
  ],
  "discriminant": "53533571806915384243339380681009",
  "regulator": "437849.94975437774680894346566650465795351398098998",
  "points": [
    [
      "2615439/4",
      "-4166827781/8"
    ],
    [
      "89172731/196",
      "-816248637513/2744"
    ],
    [
      "1986069/16",
      "-1707103435/64"
    ],
    [
      "228922409/1600",
      "-2450028534903/64000"
    ],
    [
      "17559929/169",
      "-31156442829/2197"
    ],
    [
      "483817149/400",
      "10587834679417/8000"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained by a rational 2-isogeny from curve#4086, submitted by jesper-petersen, whose source curve was found using a Tate-normal-form discriminant sieve. This isogenous curve has the same rank and conductor, with torsion subgroup Z/2 x Z/2. The six supplied points were transported from the source curve.",
  "created_at": "2026-10-16 19:01:52",
  "updated_at": "2026-10-16 19:01:52"
}