{
  "id": 3310,
  "curve_key": "8379856:-24257935000",
  "ainvs": [
    "0",
    "1",
    "1",
    "-174580",
    "28018120"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    5
  ],
  "naive_height": 47.82402386561922,
  "faltings_height": 1.5751375952962943,
  "conductor": "149397",
  "bad_primes": [
    "3",
    "19",
    "2621"
  ],
  "discriminant": "1577034881397",
  "regulator": "7.57698998751365494134199839839698678044952",
  "points": [
    [
      "254",
      "355"
    ],
    [
      "260",
      "520"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 149397a1 = LMFDB 149397.b2: https://www.lmfdb.org/EllipticCurve/Q/149397/b/2\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 149397, minimal discriminant 1577034881397, torsion ℤ/5ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:55:39",
  "updated_at": "2026-09-26 20:55:39"
}