{
  "id": 5874,
  "curve_key": "1857311358096:-2083954407927663960",
  "ainvs": [
    "0",
    "0",
    "1",
    "-38693986627",
    "2411984268434796"
  ],
  "rank_lower_bound": 14,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 84.7504531545042,
  "faltings_height": 5.064984982143343,
  "conductor": "1194517052272968263829637380194437",
  "bad_primes": [
    "1295647",
    "5946566114603",
    "155038446589457"
  ],
  "discriminant": "1194517052272968263829637380194437",
  "regulator": "30290134741.0941210638508947543307845595241238020855339283333033866",
  "points": [
    [
      "68759",
      "-8746614"
    ],
    [
      "269394",
      "107418906"
    ],
    [
      "521427",
      "352142949"
    ],
    [
      "-5618",
      "-51275626"
    ],
    [
      "-174442",
      "62077118"
    ],
    [
      "171945",
      "-29022663"
    ],
    [
      "71148",
      "4374743"
    ],
    [
      "71824",
      "-1828909"
    ],
    [
      "162818",
      "-20692107"
    ],
    [
      "156281",
      "13483974"
    ],
    [
      "438289",
      "263907078"
    ],
    [
      "228977",
      "74547449"
    ],
    [
      "-7554",
      "-51998535"
    ],
    [
      "210748",
      "60146631"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: Michael Rubinstein’s elliptic-curves-by-rank repository, rank_14.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_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 1194517052272968263829637380194437. The construction author and search method are not identified in the source row.",
  "created_at": "2026-10-25 18:43:46",
  "updated_at": "2026-10-25 18:43:46"
}