{
  "id": 3297,
  "curve_key": "1203361:-1320060689",
  "ainvs": [
    "1",
    "1",
    "1",
    "-25070",
    "1517402"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4
  ],
  "naive_height": 42.0018870991992,
  "faltings_height": 0.9150937675590005,
  "conductor": "36465",
  "bad_primes": [
    "3",
    "5",
    "11",
    "13",
    "17"
  ],
  "discriminant": "1203345",
  "regulator": "11.3151936784176756684699343975395050353136",
  "points": [
    [
      "-9",
      "1324"
    ],
    [
      "116",
      "374"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 36465k1 = LMFDB 36465.e3: https://www.lmfdb.org/EllipticCurve/Q/36465/e/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 36465, minimal discriminant 1203345, torsion ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:53:32",
  "updated_at": "2026-09-26 20:53:32"
}