{
  "id": 3751,
  "curve_key": "1207590471376:-658854695100562624",
  "ainvs": [
    "0",
    "1",
    "0",
    "-25158134820",
    "762554918469600"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 83.45894443260428,
  "faltings_height": 5.006147118226192,
  "conductor": "150218348280",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "43",
    "127",
    "229"
  ],
  "discriminant": "767887256560051793397847174560000",
  "regulator": "109.4906765339017256891101329388692966295027869",
  "points": [
    [
      "-21780",
      "36057840"
    ],
    [
      "-3762",
      "29277066"
    ],
    [
      "-1247826/25",
      "5439909618/125"
    ],
    [
      "664085/4",
      "272687415/8"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (559,330) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 4.",
  "created_at": "2026-10-01 07:44:59",
  "updated_at": "2026-10-01 07:44:59"
}