{
  "id": 3307,
  "curve_key": "-206384:646426664",
  "ainvs": [
    "0",
    "1",
    "1",
    "4300",
    "-746746"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    5
  ],
  "naive_height": 40.573940628640806,
  "faltings_height": 1.4417556173902746,
  "conductor": "58395",
  "bad_primes": [
    "3",
    "5",
    "17",
    "229"
  ],
  "discriminant": "-246908695246875",
  "regulator": "4.52137705277550826515544974677706910681191",
  "points": [
    [
      "166",
      "2137"
    ],
    [
      "76",
      "157"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 58395i1 = LMFDB 58395.b2: https://www.lmfdb.org/EllipticCurve/Q/58395/b/2\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 58395, minimal discriminant -246908695246875, torsion ℤ/5ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:55:09",
  "updated_at": "2026-09-26 20:55:09"
}