{
  "id": 5554,
  "curve_key": "54018169820641571698272144592846759921:-399381009916296830910530892689433736224802802771805180745",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1125378537930032743714003012350974165",
    "462246539254973183830444025414897429024762252178860001"
  ],
  "rank_lower_bound": 24,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 260.65902179000153,
  "faltings_height": 19.564321900249855,
  "conductor": "476104570504501398739270545163834259959297573986356551600416936761112424531045295418",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "17",
    "23",
    "47",
    "109",
    "2907113203012606392757556882232508109",
    "95291026647437678648324307727994734433"
  ],
  "discriminant": "-1089229167664457582790386924321632486900844914467639084664044101008568752957713727449034710429641602363097088",
  "regulator": "2729077779432523759548759.2718364565287489315500480566489342216977101847175279607330127",
  "points": [
    [
      "511112210719277578",
      "143431442834874631660117159"
    ],
    [
      "26385866248362192034/49",
      "-38177829464463623876920015871/343"
    ],
    [
      "751158193499226610",
      "201845735179119711246758071"
    ],
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      "897505206215043666",
      "418530623119396632135971703"
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      "-594827502655726958",
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    [
      "-615985741259348990",
      "-960070313501119295600259881"
    ],
    [
      "519513440126678590",
      "-133457616756453439704105821"
    ],
    [
      "168686249602181992354/225",
      "674396850231975063178543784137/3375"
    ],
    [
      "3703579694729097618",
      "6862541639804581423541661303"
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    [
      "72637522720305713410",
      "-619006882068001792854056634329"
    ],
    [
      "582099789480539842",
      "66352979322229091532917479"
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    [
      "503708643713317360",
      "152268864265039285948145569"
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    [
      "609327842556898834",
      "52474372553116689928760311"
    ],
    [
      "5972700137677987954",
      "14380740854098320867316909495"
    ],
    [
      "113247742320590218498/169",
      "-208763285686647636117780550397/2197"
    ],
    [
      "853575888296641651/4",
      "3851772466437298568119548323/8"
    ],
    [
      "145448164799662959010/169",
      "795720141737408738874732306307/2197"
    ],
    [
      "48999085065706530460",
      "342910672861553792371036401271"
    ],
    [
      "7765782156133246479104842/16410601",
      "-12555205975464132983801743002153925451/66479344651"
    ],
    [
      "616048201007366224",
      "-52525101820242999909599615"
    ],
    [
      "16671337227244056274/25",
      "11408191479230668064104896683/125"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 127/13 of the rank-17 fibration of X1152 given in curve#3926. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-23 02:16:42",
  "updated_at": "2026-10-23 02:16:42"
}