{
  "id": 1338,
  "curve_key": "8653144638256:-25552675509874816096",
  "ainvs": [
    "0",
    "1",
    "0",
    "-180273846630",
    "29574795822924753"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "naive_height": 89.37454740337857,
  "faltings_height": 5.273006911682302,
  "conductor": "30827533076473380",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "19",
    "23",
    "31",
    "251",
    "11623243"
  ],
  "discriminant": "-2904210058492286706861070251750000",
  "regulator": "3317.806601735595242444481719597011548418886214527662",
  "points": [
    [
      "259626",
      "-16472625"
    ],
    [
      "-375099",
      "-210758925"
    ],
    [
      "-489954",
      "16883685"
    ],
    [
      "273276",
      "-26805675"
    ],
    [
      "282597",
      "34619715"
    ],
    [
      "236226",
      "13097175"
    ],
    [
      "370629/4",
      "-935234625/8"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:34:42",
  "updated_at": "2026-09-24 17:34:42"
}