{
  "id": 4128,
  "curve_key": "14493668170702728830159858106183993677776:-1725575946150646843621271720290946946003793733657607604361920",
  "ainvs": [
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    "1997194382118804217053599202855012237294947436366323660064"
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  "rank_lower_bound": 25,
  "torsion": [],
  "naive_height": 277.42359150882055,
  "faltings_height": 20.988237484848938,
  "conductor": "10656469625163555146021797703903917216964830176148814097509882394597808021211006430503491817684904",
  "bad_primes": [
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    "7",
    "23",
    "47",
    "67",
    "101",
    "12853",
    "26790697",
    "8177556336688786843",
    "3079428567550772047311716799250878820160039107079231644553"
  ],
  "discriminant": "38785067411977966069465872963985384735649013711074982813679012184376449591768063923146928263147940662814187186548992",
  "regulator": "2093866981009975950392322688.713185426089533683401521698886856897273125286675800659043152",
  "points": [
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      "2043964606731039555082/121",
      "55148036460143997566707921851294/1331"
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      "112209166490286271555/9",
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      "-14848365482863593971/4",
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      "36297234726783427261/4",
      "-16781887707150046785160301571/8"
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    [
      "1335197416329173627350/169",
      "-22485845999917196142893645537826/2197"
    ],
    [
      "48594584791715063482306/11881",
      "-37322986628447109873453716558109594/1295029"
    ],
    [
      "2165681813175625193387845/198916",
      "46326161845681226762408620131315663/88716536"
    ],
    [
      "1464186714046970099404/121",
      "14288369997406506767979758063568/1331"
    ],
    [
      "184915324103204607655/841",
      "-1071677548893535144504769980893438/24389"
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      "9103064634938305690",
      "1686324673785740947996214058"
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      "639230899068810771598",
      "-16155774340729143468197149492290"
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      "11816675531633432706",
      "8896065115304813665033833186"
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    [
      "10953038131723886059",
      "-1983552242072890057685164188"
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  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 171/170 of the rank-17 fibration of X1092 given in curve#729. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-10 11:08:55",
  "updated_at": "2026-10-10 11:08:55"
}