{
  "id": 4691,
  "curve_key": "0:-59195653292580192",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "68513487607153"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 77.23924901998629,
  "faltings_height": 4.494259994123819,
  "conductor": "168987527427438277691643554724",
  "bad_primes": [
    "2",
    "3",
    "11777",
    "5817567089"
  ],
  "discriminant": "-2027850329129259332299722656688",
  "regulator": "244393257.3912712974330121970817194132491855499160970174348",
  "points": [
    [
      "-40053",
      "2063674"
    ],
    [
      "-38353",
      "3478224"
    ],
    [
      "-36754",
      "4343283"
    ],
    [
      "-36049",
      "4654752"
    ],
    [
      "-35748",
      "4778119"
    ],
    [
      "-35284",
      "4958457"
    ],
    [
      "-15154",
      "8064333"
    ],
    [
      "-7294",
      "8253813"
    ],
    [
      "4838",
      "8284125"
    ],
    [
      "9336",
      "8326297"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Historical rank-10 Mordell curve y^2 = x^3 + 68513487607153, found by Noam Elkies (2001), as documented in Tom Womack's Mordell curve table and his 2003 thesis.",
  "created_at": "2026-10-20 20:44:59",
  "updated_at": "2026-10-20 20:44:59"
}