{
  "id": 3261,
  "curve_key": "5765977:-13845522781",
  "ainvs": [
    "1",
    "0",
    "1",
    "-120125",
    "16014900"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    3
  ],
  "naive_height": 46.702455504817294,
  "faltings_height": 1.194876515091253,
  "conductor": "58838",
  "bad_primes": [
    "2",
    "13",
    "31",
    "73"
  ],
  "discriminant": "-117676",
  "regulator": "11.0166504753564008527151412121191615958984",
  "points": [
    [
      "193",
      "74"
    ],
    [
      "333",
      "3434"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 58838h1 = LMFDB 58838.a1: https://www.lmfdb.org/EllipticCurve/Q/58838/a/1\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 58838, minimal discriminant -117676, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:47:43",
  "updated_at": "2026-09-26 20:47:43"
}