{
  "id": 5430,
  "curve_key": "0:-6912",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "8"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 17.682028620967785,
  "faltings_height": -0.4688417057943894,
  "conductor": "576",
  "bad_primes": [
    "2",
    "3"
  ],
  "discriminant": "-27648",
  "regulator": "0.6532346775429768565201535371767890992777",
  "points": [
    [
      "1",
      "3"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Mordell curve y^2 = x^3 + 8. PARI/GP 2.17.4 returned rank bounds [1,1], generator [1,3], rational torsion Z/2Z generated by [-2,0], conductor 576, minimal discriminant -27648, and bad primes 2 and 3. Found in a bounded exact small-model sweep.",
  "created_at": "2026-10-21 23:50:45",
  "updated_at": "2026-10-21 23:50:45"
}