{
  "id": 2999,
  "curve_key": "9361:-2413529",
  "ainvs": [
    "1",
    "1",
    "1",
    "-195",
    "2712"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4
  ],
  "naive_height": 29.39320109951053,
  "faltings_height": 0.5015037358059309,
  "conductor": "39585",
  "bad_primes": [
    "3",
    "5",
    "7",
    "13",
    "29"
  ],
  "discriminant": "-2896315695",
  "regulator": "8.50939749504274205324257552843424877967839",
  "points": [
    [
      "6",
      "39"
    ],
    [
      "-10",
      "66"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 39585h1 = LMFDB 39585.g4: https://www.lmfdb.org/EllipticCurve/Q/39585/g/4\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 39585, minimal discriminant -2896315695, torsion ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:32:42",
  "updated_at": "2026-09-26 20:32:42"
}