{
  "id": 4320,
  "curve_key": "4550677021616813473:-9236067067542015136453281265",
  "ainvs": [
    "1",
    "0",
    "0",
    "-94805771283683614",
    "10689892431384258800958404"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 128.8854230752392,
  "faltings_height": 8.678523800199471,
  "conductor": "189292828310363778",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "67",
    "89",
    "97",
    "163",
    "353",
    "947"
  ],
  "discriminant": "5169846354648601229958756882314292516800196038648064",
  "regulator": "14796.483660929702341085581394419453680535228506782",
  "points": [
    [
      "-74090450/9",
      "-91441046192846/27"
    ],
    [
      "-143844976",
      "4620772701182"
    ],
    [
      "144737396",
      "6500896442"
    ],
    [
      "-186706366",
      "-4677757263256"
    ],
    [
      "2224574275/4",
      "91203764604491/8"
    ],
    [
      "17973077969/64",
      "1276163450175229/512"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "Curve 4x2-6.ec from Layr Labs / Yukon Elliptic Rank Challenge with conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 09:50:23",
  "updated_at": "2026-10-17 09:50:23"
}