{
  "id": 4600,
  "curve_key": "209752816:-33900279949720",
  "ainvs": [
    "0",
    "1",
    "1",
    "-4369850",
    "39234978510"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 62.30888877676938,
  "faltings_height": 3.2502311077584993,
  "conductor": "659722595274730880503243",
  "bad_primes": [
    "659722595274730880503243"
  ],
  "discriminant": "-659722595274730880503243",
  "regulator": "20999606.6603794169195200605807521643403948008093401390834209",
  "points": [
    [
      "-3423",
      "118733"
    ],
    [
      "-3116",
      "150354"
    ],
    [
      "1020",
      "189314"
    ],
    [
      "-3824",
      "6453"
    ],
    [
      "202",
      "-195859"
    ],
    [
      "3944",
      "288730"
    ],
    [
      "-1196",
      "-206766"
    ],
    [
      "10821/4",
      "-1738395/8"
    ],
    [
      "6023",
      "481087"
    ],
    [
      "2547",
      "-211269"
    ],
    [
      "2360",
      "-205115"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, rank_11.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Eleven supplied rational points checked exactly and certified independent modulo torsion. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-18 22:30:52",
  "updated_at": "2026-10-18 22:30:52"
}