{
  "id": 1538,
  "curve_key": "89192161:-2642904339409",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1858170",
    "3058762212"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    5
  ],
  "naive_height": 57.205799113905634,
  "faltings_height": 2.82130644177895,
  "conductor": "9345270",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "28319"
  ],
  "discriminant": "-3631596156901785600000",
  "regulator": "7.4002734463570105796078482069224197124302577",
  "points": [
    [
      "-1866",
      "6378"
    ],
    [
      "30804",
      "5386038"
    ],
    [
      "-1836",
      "17718"
    ]
  ],
  "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 00:52:01",
  "updated_at": "2026-09-25 00:52:01"
}