{
  "id": 5875,
  "curve_key": "933016755216:-2966580871803008280",
  "ainvs": [
    "0",
    "0",
    "1",
    "-19437849067",
    "3433542675697926"
  ],
  "rank_lower_bound": 14,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 85.06788348385533,
  "faltings_height": 5.143609214836839,
  "conductor": "4622912080710675041389543771628843",
  "bad_primes": [
    "167589679",
    "27584706339288799767851717"
  ],
  "discriminant": "-4622912080710675041389543771628843",
  "regulator": "41682343784.7448359634831744834653268980528984105304377731010372097",
  "points": [
    [
      "85707",
      "-48960801"
    ],
    [
      "-130388",
      "-61247650"
    ],
    [
      "181610",
      "-76768033"
    ],
    [
      "-3007",
      "59092851"
    ],
    [
      "6843",
      "57453023"
    ],
    [
      "9426",
      "57018935"
    ],
    [
      "1365926",
      "-1589139565"
    ],
    [
      "492393",
      "336516851"
    ],
    [
      "42485",
      "-51811293"
    ],
    [
      "512713/4",
      "441666567/8"
    ],
    [
      "119334",
      "-53040877"
    ],
    [
      "-59217",
      "-66158449"
    ],
    [
      "52009",
      "-50628852"
    ],
    [
      "-19816",
      "61732826"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: Michael Rubinstein’s elliptic-curves-by-rank repository, rank_14.add_2026-10-24.tsv.gz, fourteenth 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 4622912080710675041389543771628843. The construction author and search method are not identified in the source row.",
  "created_at": "2026-10-25 18:48:19",
  "updated_at": "2026-10-25 18:48:19"
}