{
  "id": 3805,
  "curve_key": "129695073628203446416:-1280503350971711428209246518464",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2701980700587571800",
    "1482064062724005771342622500"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "naive_height": 138.93515334502058,
  "faltings_height": 9.566120359990057,
  "conductor": "445323314722125840",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "23",
    "61",
    "103",
    "151",
    "263"
  ],
  "discriminant": "313592381356490288834487338315428200485189506947600000000",
  "regulator": "18718.091130674647024106046243342563179682619313584",
  "points": [
    [
      "-1573771350",
      "42854589414000"
    ],
    [
      "-680036430",
      "54818125053120"
    ],
    [
      "-72558702",
      "40960154670864"
    ],
    [
      "641359800",
      "3597323497350"
    ],
    [
      "648397248",
      "1644910223814"
    ],
    [
      "1403381400",
      "21309277304250"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (55575,23851) for the C2 x C4 family y^2 = x(x+u^2)(x+v^2). PARI/GP gives exact rank 6.",
  "created_at": "2026-10-02 11:15:42",
  "updated_at": "2026-10-02 11:15:42"
}