{
  "id": 1659,
  "curve_key": "2777509053081762001:-4628984185132099333359343001",
  "ainvs": [
    "1",
    "1",
    "1",
    "-57864771939203375",
    "5357620560533311846349685"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 127.40426991281285,
  "faltings_height": 8.230147711798805,
  "conductor": "2193031260769090",
  "bad_primes": [
    "2",
    "5",
    "7",
    "17",
    "23",
    "43",
    "1863380599"
  ],
  "discriminant": "-141178227814429087047677663071589553196236800000",
  "regulator": "2232.86410137533517998885098187419369445422139360",
  "points": [
    [
      "135723739",
      "64393962130"
    ],
    [
      "598332123",
      "13598927452818"
    ],
    [
      "5005790143/36",
      "1388166522973/216"
    ],
    [
      "138219883",
      "14524026658"
    ],
    [
      "-173246117",
      "3191108573458"
    ]
  ],
  "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 02:34:19",
  "updated_at": "2026-09-25 02:34:19"
}