{
  "id": 5428,
  "curve_key": "0:3456",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-4"
  ],
  "rank_lower_bound": 1,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 16.295734259847894,
  "faltings_height": -0.5843662358877136,
  "conductor": "432",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "-6912",
  "regulator": "0.4503206856398749935318635639694846147471",
  "points": [
    [
      "2",
      "2"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 - 4. PARI/GP 2.17.4 returned rank bounds [1,1], generator [2,2], trivial rational torsion, conductor 432, minimal discriminant -6912, and bad primes 2 and 3. Found in a bounded exact small-model sweep.",
  "created_at": "2026-10-21 23:48:07",
  "updated_at": "2026-10-21 23:48:07"
}