{
  "id": 5879,
  "curve_key": "17014935600:-2214913011285600",
  "ainvs": [
    "0",
    "0",
    "0",
    "-354477825",
    "2563556726025"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 70.6720720799893,
  "faltings_height": 3.6895767491522116,
  "conductor": "27241252179300",
  "bad_primes": [
    "2",
    "3",
    "5",
    "19",
    "31",
    "37",
    "154321"
  ],
  "discriminant": "11644037991312089783130000",
  "regulator": "737.39720662420622065167924950328536689913025114114",
  "points": [
    [
      "-21735",
      "17205"
    ],
    [
      "30345",
      "4444005"
    ],
    [
      "3499",
      "1168793"
    ],
    [
      "-14679/4",
      "15625581/8"
    ],
    [
      "-8415",
      "2224995"
    ],
    [
      "14784",
      "744477"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: Michael Rubinstein’s elliptic-curves-by-rank repository, torsion/torsion_Z3.add_2026-10-24.tsv.gz, 106th 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 6 with torsion Z/3 and supplies these six generators on the minimal model. I checked all six points exactly and independently verified their independence. The torsion subgroup is Z/3; conductor 27241252179300. The construction author and search method are not identified in the source row.",
  "created_at": "2026-10-25 19:24:17",
  "updated_at": "2026-10-25 19:24:17"
}