{
  "id": 1665,
  "curve_key": "153924662980304401:-63410912899607900408916601",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3206763812089675",
    "73392260033241789280625"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 118.82335641248413,
  "faltings_height": 7.838413424193486,
  "conductor": "971000491362330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "19",
    "419",
    "1672421"
  ],
  "discriminant": "-216456788951741890686948267154616044897996800000",
  "regulator": "416.871182147234784329898053370540359857233255331",
  "points": [
    [
      "-62298850",
      "177172285025"
    ],
    [
      "51885662",
      "216052111361"
    ],
    [
      "832698110",
      "23974246454465"
    ],
    [
      "100076990",
      "868730987585"
    ],
    [
      "-26943970",
      "374492432225"
    ]
  ],
  "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 02:44:19",
  "updated_at": "2026-09-25 02:44:19"
}