{
  "id": 1715,
  "curve_key": "433968107027977276561:-9621829000476887810414576336441",
  "ainvs": [
    "1",
    "1",
    "1",
    "-9041002229749526595",
    "11136376154192276629287901345"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "naive_height": 142.68317432243452,
  "faltings_height": 9.838199035542607,
  "conductor": "962007591612457390",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "13",
    "19",
    "41",
    "43",
    "173",
    "269",
    "61651"
  ],
  "discriminant": "-6279577365752867720589937069003496671206245729690000000000",
  "regulator": "14477.967203026827892398340433666042159906087000504",
  "points": [
    [
      "13115152043",
      "1465757069325838"
    ],
    [
      "1272040873",
      "41159123904088"
    ],
    [
      "5906536027/9",
      "1999740898017866/27"
    ],
    [
      "-1125522298997/361",
      "651344228922043642/6859"
    ],
    [
      "-22987344298973/8649",
      "102980980180386642566/804357"
    ],
    [
      "1629096267703/361",
      "1711128630088534642/6859"
    ]
  ],
  "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 06:14:48",
  "updated_at": "2026-09-25 06:14:48"
}