{
  "id": 6417,
  "curve_key": "6988893297848375328681:-644192266117399857460622768175765",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-145601943705174486014",
    "745592900635242913542755158744"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 151.09110004248063,
  "faltings_height": 10.559904613017808,
  "conductor": "21300281185296056865193415720121521294395818191599774348391114",
  "bad_primes": [
    "2",
    "35702148542950426697",
    "298305312909549069775155765411664081592381"
  ],
  "discriminant": "-42600562370592113730386831440243042588791636383199548696782228",
  "regulator": "53163368044724499693.4523649968425718414804516422820135110299622506556968283313",
  "points": [
    [
      "6192856206",
      "285314492349940"
    ],
    [
      "6120056146",
      "289354965550720"
    ],
    [
      "7568205420",
      "-277739508362468"
    ],
    [
      "5754596508",
      "313490534908432"
    ],
    [
      "5450094490",
      "-337546195441442"
    ],
    [
      "3634146174",
      "-514249218059612"
    ],
    [
      "2150854476",
      "-665113500100756"
    ],
    [
      "233803356",
      "-843542325795596"
    ],
    [
      "13895824972",
      "-1185558941919800"
    ],
    [
      "-686807151",
      "-919384987699607"
    ],
    [
      "-8262874953",
      "-1176658488035275"
    ],
    [
      "17101325499",
      "-1804719199339747"
    ],
    [
      "-10346349819",
      "1069816514179265"
    ],
    [
      "25643102598",
      "3724770291173932"
    ],
    [
      "29714679391",
      "4759818717368860"
    ],
    [
      "7019595207/4",
      "-5631238404316669/8"
    ],
    [
      "-17547454041/4",
      "-9121054130580053/8"
    ],
    [
      "96692603868",
      "-29844487685098768"
    ],
    [
      "63643302997/9",
      "-7122513371332586/27"
    ],
    [
      "-1590713680245/121",
      "-828716666947004873/1331"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "From the Layr-Labs elliptic-rank-challenge-public repository (https://github.com/Layr-Labs/elliptic-rank-challenge-public, file submission/board/1-20-m10-125404.ec), where it is recorded as a find of that challenge; not our discovery. Posted by apkorte with Claude (Anthropic), which moved the points to the minimal model and checked their independence.",
  "created_at": "2026-11-02 14:15:20",
  "updated_at": "2026-11-02 14:15:20"
}