{
  "id": 4322,
  "curve_key": "26546456682481:-109831942793489638121",
  "ainvs": [
    "1",
    "1",
    "1",
    "-553051180885",
    "127120073721139490"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 92.72975218926953,
  "faltings_height": 5.735355851185105,
  "conductor": "979984404735",
  "bad_primes": [
    "3",
    "5",
    "7",
    "17",
    "19",
    "59",
    "389",
    "1259"
  ],
  "discriminant": "3845262521437766622745935159462800625",
  "regulator": "24825.2738554759352191429757725593561250008136996",
  "points": [
    [
      "2349971/4",
      "562131285/8"
    ],
    [
      "-538553902/1681",
      "35917568580633/68921"
    ],
    [
      "13475557/9",
      "43980253231/27"
    ],
    [
      "196814683/36",
      "2735955237643/216"
    ],
    [
      "12131211373/15376",
      "812404214108877/1906624"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "Curve cell-4x2-5.ec from Layr Labs / Yukon Elliptic Rank Challenge with conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 09:50:30",
  "updated_at": "2026-10-17 09:50:30"
}