{
  "id": 5889,
  "curve_key": "17212963825:-2258305501854025",
  "ainvs": [
    "1",
    "0",
    "0",
    "-358603413",
    "2613749632417"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 70.70678594287297,
  "faltings_height": 3.47600455398907,
  "conductor": "1436973356350",
  "bad_primes": [
    "2",
    "5",
    "7",
    "19",
    "23",
    "9395053"
  ],
  "discriminant": "10757160703641083480000",
  "regulator": "290.343182126088856571513016487280305014516604163",
  "points": [
    [
      "-1134",
      "1738079"
    ],
    [
      "10836",
      "12005"
    ],
    [
      "-6378",
      "2157599"
    ],
    [
      "6916",
      "678055"
    ],
    [
      "11976",
      "185855"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: Michael Rubinstein’s elliptic-curves-by-rank repository, torsion/torsion_Z3.add_2026-10-24.tsv.gz, 28th data row, pinned at commit 5e2e867ddb468765263bfadf520d9acda17a5a4b:\r\nhttps://raw.githubusercontent.com/mrubinst/elliptic-curves-by-rank/5e2e867ddb468765263bfadf520d9acda17a5a4b/torsion/torsion_Z3.add_2026-10-24.tsv.gz\r\n\r\nThe source row reports proven rank 5 with torsion Z/3 and supplies these five generators on the minimal model. I checked all five points exactly and independently verified their independence. The full torsion group and supplied torsion generator were checked separately. Conductor 1436973356350. The construction author and search method are not identified in the source row.",
  "created_at": "2026-10-25 19:52:56",
  "updated_at": "2026-10-25 19:52:56"
}