{
  "id": 5876,
  "curve_key": "220747180521:-104883419838832245",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-4598899594",
    "121393996760584"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 78.38325168198699,
  "faltings_height": 4.401645487763316,
  "conductor": "70507020932326816464044574994",
  "bad_primes": [
    "2",
    "57649",
    "611519895681857590452953"
  ],
  "discriminant": "-141014041864653632928089149988",
  "regulator": "1032569482.719564619392165809214612873343715946924089069980287004",
  "points": [
    [
      "26346",
      "4290074"
    ],
    [
      "40907",
      "1290508"
    ],
    [
      "36887",
      "-1412607"
    ],
    [
      "42460",
      "-1655992"
    ],
    [
      "61122",
      "8254538"
    ],
    [
      "-34562",
      "15478680"
    ],
    [
      "27965",
      "3814198"
    ],
    [
      "50678",
      "4273882"
    ],
    [
      "65950",
      "-10276822"
    ],
    [
      "75100",
      "-14164728"
    ],
    [
      "52422",
      "4910138"
    ],
    [
      "42876",
      "-1762516"
    ],
    [
      "36942",
      "1365578"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: Michael Rubinstein’s elliptic-curves-by-rank repository, rank_13.add_2026-10-24.tsv.gz, seventh data row, pinned at commit 5e2e867ddb468765263bfadf520d9acda17a5a4b:\r\nhttps://raw.githubusercontent.com/mrubinst/elliptic-curves-by-rank/5e2e867ddb468765263bfadf520d9acda17a5a4b/rank_13.add_2026-10-24.tsv.gz\r\n\r\nThe source row reports proven rank 13 and supplies these 13 generators on the minimal model. I checked all 13 points exactly and independently verified their independence, establishing rank at least 13. Trivial torsion; conductor 70507020932326816464044574994. The construction author and search method are not identified in the source row.",
  "created_at": "2026-10-25 19:00:21",
  "updated_at": "2026-10-25 19:00:21"
}