{
  "id": 3099,
  "curve_key": "44169015601:-5396968041847849",
  "ainvs": [
    "1",
    "0",
    "0",
    "-920187825",
    "6246414106857"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    10
  ],
  "naive_height": 73.53386812712777,
  "faltings_height": 4.1714021337336415,
  "conductor": "77610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "199"
  ],
  "discriminant": "33010505869278473338982400000",
  "regulator": "2.561010468241019613590184693308495606198",
  "points": [
    [
      "4554",
      "1464123"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 77610ba2 = LMFDB 77610.bb3: https://www.lmfdb.org/EllipticCurve/Q/77610/bb/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 77610, minimal discriminant 33010505869278473338982400000, torsion ℤ/10ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:37:13",
  "updated_at": "2026-09-26 20:37:13"
}