{
  "id": 2856,
  "curve_key": "1480607521:-57516737989681",
  "ainvs": [
    "1",
    "0",
    "0",
    "-30845990",
    "66567728100"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    10
  ],
  "naive_height": 63.366194233689,
  "faltings_height": 3.1432047528963905,
  "conductor": "61770",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "71"
  ],
  "discriminant": "-36104958351360000000000",
  "regulator": "2.768517632622965323726080520698410949898",
  "points": [
    [
      "2580",
      "63210"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 61770bi1 = LMFDB 61770.be3: https://www.lmfdb.org/EllipticCurve/Q/61770/be/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 61770, minimal discriminant -36104958351360000000000, torsion ℤ/10ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:25:33",
  "updated_at": "2026-09-26 20:25:33"
}