{
  "id": 6051,
  "curve_key": "2787505667846614568588691216:-144399754748092853166920706410294259282264",
  "ainvs": [
    "0",
    "0",
    "1",
    "-58073034746804470178931067",
    "167129345773255617091343410197099837132"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 189.58483404279482,
  "faltings_height": 13.692107896595237,
  "conductor": "5316123783320990439696445571594518583840498086117969860441212285045",
  "bad_primes": [
    "5",
    "7",
    "67",
    "7723",
    "30137",
    "23988253331557",
    "406038821038539175291540917466825078779923"
  ],
  "discriminant": "467681421293787842456135685028114683373959831198185640841966834110026414453125",
  "regulator": "16199961162059004320.2162667746127137941418233914325349926087543962818257509610",
  "points": [
    [
      "-24527022258",
      "12982822868476681062"
    ],
    [
      "-656047229758",
      "-14315922532206973563"
    ],
    [
      "14548322173367",
      "-49004795931498154563"
    ],
    [
      "3710373662117",
      "-1654366673927243938"
    ],
    [
      "6054561171767",
      "-6121189265992303038"
    ],
    [
      "1738665316377",
      "8450780145894655502"
    ],
    [
      "2305815991412",
      "-6744119435656890193"
    ],
    [
      "-3563068893633",
      "18133195279186826562"
    ],
    [
      "4936280925565",
      "-863854489999368802"
    ],
    [
      "16277314191722",
      "-59452050346794610243"
    ],
    [
      "4886798955342",
      "196947772845840537"
    ],
    [
      "-6231278099183",
      "16942412980560590862"
    ],
    [
      "3645697822882",
      "-1966720558610051878"
    ],
    [
      "11966028440117",
      "-34432420096790964063"
    ],
    [
      "3896592616717",
      "-77744773428317538"
    ],
    [
      "4963287516792",
      "1078382458426373012"
    ],
    [
      "6084037345242",
      "-6246165332449048563"
    ],
    [
      "15573363701313/4",
      "1732288738580285581/8"
    ],
    [
      "-863165692506468/121",
      "-19669219758677956624728/1331"
    ],
    [
      "6357207626367",
      "-7407277499645386563"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -9/23 of the rank-17 fibration of X1008 given in curve#3589. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-28 17:26:00",
  "updated_at": "2026-10-28 17:26:00"
}