{
  "id": 2864,
  "curve_key": "23752607521:-3660723214789681",
  "ainvs": [
    "1",
    "0",
    "0",
    "-494845990",
    "4236906928100"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    10
  ],
  "naive_height": 71.6728744552753,
  "faltings_height": 3.489778343176363,
  "conductor": "61770",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "71"
  ],
  "discriminant": "1631134479352924800000",
  "regulator": "5.537035265245930647452161041396821899796",
  "points": [
    [
      "-14158",
      "2906222"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 61770bi2 = LMFDB 61770.be2: https://www.lmfdb.org/EllipticCurve/Q/61770/be/2\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 61770, minimal discriminant 1631134479352924800000, torsion ℤ/10ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:25:52",
  "updated_at": "2026-09-26 20:25:52"
}