{
  "id": 5438,
  "curve_key": "0:-14688",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "17"
  ],
  "rank_lower_bound": 2,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 19.189572225720543,
  "faltings_height": -0.3432130720649927,
  "conductor": "10404",
  "bad_primes": [
    "2",
    "3",
    "17"
  ],
  "discriminant": "-124848",
  "regulator": "0.350554248223812873961637098837323600896159",
  "points": [
    [
      "-2",
      "3"
    ],
    [
      "4",
      "9"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Mordell curve y^2=x^3+17. PARI/GP 2.17.4 returned rank bounds [2,2] with generators [-2,3] and [4,9], trivial rational torsion, conductor 10404, minimal discriminant -124848, and bad primes 2, 3 and 17. Found in a bounded exact small-coefficient Mordell sweep.",
  "created_at": "2026-10-22 00:03:59",
  "updated_at": "2026-10-22 00:03:59"
}