{
  "id": 4318,
  "curve_key": "33969110942833:-5392130007536536036265",
  "ainvs": [
    "1",
    "1",
    "1",
    "-707689811309",
    "6240890917555791626"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 100.07845487476861,
  "faltings_height": 6.397657951376766,
  "conductor": "277520551027421169",
  "bad_primes": [
    "3",
    "13",
    "17",
    "23",
    "43",
    "79",
    "101",
    "103",
    "107",
    "4813"
  ],
  "discriminant": "-16803164956096087181955292609440115093071",
  "regulator": "56674.66441777488322382069554646653534683849563158307",
  "points": [
    [
      "-165406",
      "-2520516775"
    ],
    [
      "10487457",
      "-33950795993"
    ],
    [
      "26791454/25",
      "-323940939152/125"
    ],
    [
      "-81124594/49",
      "-581250025705/343"
    ],
    [
      "7841",
      "2497062839"
    ],
    [
      "-1258608",
      "-2266051850"
    ],
    [
      "445686845",
      "9408787925137"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "Curve 4-7.ec from Layr Labs / Yukon Elliptic Rank Challenge with conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 09:50:18",
  "updated_at": "2026-10-17 09:50:18"
}