{
  "id": 3309,
  "curve_key": "4398256:-9224063000",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-91630",
    "10706542"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    5
  ],
  "naive_height": 45.89016289979703,
  "faltings_height": 1.4242982966968474,
  "conductor": "99803",
  "bad_primes": [
    "11",
    "43",
    "211"
  ],
  "discriminant": "-341206596203",
  "regulator": "16.0007389538465638893817673556506958246190",
  "points": [
    [
      "175",
      "6"
    ],
    [
      "601",
      "13128"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 99803b1 = LMFDB 99803.a1: https://www.lmfdb.org/EllipticCurve/Q/99803/a/1\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 99803, minimal discriminant -341206596203, torsion ℤ/5ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:55:29",
  "updated_at": "2026-09-26 20:55:29"
}