{
  "id": 1719,
  "curve_key": "880279197697054665841:-26117212889914910065839007204361",
  "ainvs": [
    "1",
    "1",
    "1",
    "-18339149952021972205",
    "30228255651982426022119325475"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "naive_height": 144.68031240346752,
  "faltings_height": 9.681568072793107,
  "conductor": "999640295425114970",
  "bad_primes": [
    "2",
    "5",
    "11",
    "17",
    "19",
    "23",
    "47",
    "389",
    "6599",
    "10139"
  ],
  "discriminant": "6961091434246078275355128262815537187826271040000000000",
  "regulator": "9348.0443724085490213696471186041550472104021140984",
  "points": [
    [
      "22197634687/9",
      "1902250750556/27"
    ],
    [
      "-4672086357",
      "118011744661928"
    ],
    [
      "14172356843",
      "1617681978960428"
    ],
    [
      "129631122583/81",
      "51431494926913012/729"
    ],
    [
      "19097128343",
      "2577728180666228"
    ],
    [
      "2465098643",
      "365955714428"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:15:27",
  "updated_at": "2026-09-25 06:15:27"
}