{
  "id": 3047,
  "curve_key": "390361:67621859",
  "ainvs": [
    "1",
    "0",
    "1",
    "-8133",
    "-78944"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6
  ],
  "naive_height": 38.62448169297,
  "faltings_height": 1.282103260932737,
  "conductor": "43230",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "131"
  ],
  "discriminant": "31777292250000",
  "regulator": "2.42471271300442013002232140266781891846435",
  "points": [
    [
      "95",
      "42"
    ],
    [
      "-80",
      "287"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 43230o1 = LMFDB 43230.n4: https://www.lmfdb.org/EllipticCurve/Q/43230/n/4\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 43230, minimal discriminant 31777292250000, torsion ℤ/6ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:34:48",
  "updated_at": "2026-09-26 20:34:48"
}