{
  "id": 3775,
  "curve_key": "1117398990483841:-34020525803828711031361",
  "ainvs": [
    "1",
    "0",
    "0",
    "-23279145635080",
    "39375606629317390400"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "naive_height": 103.94934014850654,
  "faltings_height": 6.630537237510958,
  "conductor": "8843926837830",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "41",
    "53",
    "73",
    "89",
    "157"
  ],
  "discriminant": "137596307097815353794095857724229020160000",
  "regulator": "260.116717932245790797438116421410092257702096821",
  "points": [
    [
      "-5414848",
      "2583825656"
    ],
    [
      "4584035/4",
      "30144482395/8"
    ],
    [
      "7584992",
      "17293144616"
    ],
    [
      "16197386",
      "62536162772"
    ],
    [
      "398734760/289",
      "15442226027320/4913"
    ]
  ],
  "submitter": "Daniel Błażewicz",
  "history": [],
  "commentary": "(u,v) = (5985,2336) 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 19:46:53",
  "updated_at": "2026-10-01 19:46:53"
}