{
  "id": 5872,
  "curve_key": "1820564160681:-2652214123909549845",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-37928420014",
    "3069701755148464"
  ],
  "rank_lower_bound": 14,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 84.84385296699229,
  "faltings_height": 5.027985296785189,
  "conductor": "289370325107810280525429943057414",
  "bad_primes": [
    "2",
    "73309",
    "77141",
    "112741",
    "226933992627852583"
  ],
  "discriminant": "-578740650215620561050859886114828",
  "regulator": "134600032376941.767694164689477909415511764736546146148608011334614",
  "points": [
    [
      "-1687",
      "55980145"
    ],
    [
      "119120",
      "15494212"
    ],
    [
      "614343/4",
      "234983875/8"
    ],
    [
      "-883178171/4489",
      "16271773495635/300763"
    ],
    [
      "-678943387/9409",
      "67291708646274/912673"
    ],
    [
      "-540896094/3481",
      "14842399053596/205379"
    ],
    [
      "-13093681/100",
      "76164587083/1000"
    ],
    [
      "7668559/100",
      "24702260907/1000"
    ],
    [
      "3572706/25",
      "2970120356/125"
    ],
    [
      "5469641/49",
      "5146344519/343"
    ],
    [
      "30584591/49",
      "161711510059/343"
    ],
    [
      "662763847/9604",
      "26269251411355/941192"
    ],
    [
      "4666586058/169",
      "318747521118460/2197"
    ],
    [
      "5068406402/1369",
      "360251289954226/50653"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Source: Michael Rubinstein’s elliptic-curves-by-rank repository, rank_14.add_2026-10-24.tsv.gz, row 2, 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 repository row supplies this minimal model and 14 generators with rank 14. I checked all 14 points exactly and independently verified their independence, giving rank at least 14. Trivial torsion; conductor 289370325107810280525429943057414. The construction author and search method are not identified in the source row.",
  "created_at": "2026-10-25 18:27:14",
  "updated_at": "2026-10-25 18:27:14"
}