{
  "id": 5873,
  "curve_key": "1441822079152:-2067023255143654936",
  "ainvs": [
    "0",
    "1",
    "1",
    "-30037959982",
    "2392378014133310"
  ],
  "rank_lower_bound": 14,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 84.34528241040681,
  "faltings_height": 5.024977981535641,
  "conductor": "737993054968595410635229854049771",
  "bad_primes": [
    "20554993",
    "3985917517",
    "9007549019885191"
  ],
  "discriminant": "-737993054968595410635229854049771",
  "regulator": "34492910546.1236189846863944804841488163561540573923720647414970484",
  "points": [
    [
      "80328",
      "22311850"
    ],
    [
      "43679",
      "-34112829"
    ],
    [
      "147055",
      "33989075"
    ],
    [
      "-28246",
      "56730021"
    ],
    [
      "-202471",
      "-13192279"
    ],
    [
      "1398964",
      "-1642645774"
    ],
    [
      "233908",
      "90355469"
    ],
    [
      "-137890",
      "62550290"
    ],
    [
      "37036",
      "36478685"
    ],
    [
      "-97476",
      "-66288707"
    ],
    [
      "20633",
      "-42206506"
    ],
    [
      "152038",
      "-36605086"
    ],
    [
      "44360",
      "33870165"
    ],
    [
      "141888",
      "-31414811"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: Michael Rubinstein’s elliptic-curves-by-rank repository, rank_14.add_2026-10-24.tsv.gz, fifth data row, pinned at commit 5e2e867ddb468765263bfadf520d9acda17a5a4b:\r\nhttps://raw.githubusercontent.com/mrubinst/elliptic-curves-by-rank/5e2e867ddb468765263bfadf520d9acda17a5a4b/rank_14.add_2026-10-24.tsv.gz\r\n\r\nThe source row reports proven rank 14 and supplies these 14 generators on the minimal model. I checked all 14 points exactly and independently verified their independence, establishing rank at least 14. Trivial torsion; conductor 737993054968595410635229854049771. The construction author and search method are not identified in the source row.",
  "created_at": "2026-10-25 18:32:25",
  "updated_at": "2026-10-25 18:32:25"
}