{
  "id": 3779,
  "curve_key": "27889702842905296:-4577175607201042534577344",
  "ainvs": [
    "0",
    "1",
    "0",
    "-581035475893860",
    "5297656759100492450400"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 113.60110182564762,
  "faltings_height": 7.356205179235179,
  "conductor": "608499109032360",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "43",
    "47",
    "73",
    "103",
    "193"
  ],
  "discriminant": "430014528021737166378315289339520296121760000",
  "regulator": "453.076682152449416149018103984157133668108584254",
  "points": [
    [
      "11950860",
      "7787272080"
    ],
    [
      "17709830",
      "23708534850"
    ],
    [
      "36080910",
      "176931215370"
    ],
    [
      "364034970",
      "6930817127010"
    ],
    [
      "463235651430/7921",
      "291804453057512850/704969"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (6570,1729) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 5.",
  "created_at": "2026-10-01 19:48:26",
  "updated_at": "2026-10-01 19:48:26"
}