{
  "id": 2138,
  "curve_key": "465670454386136028036644991287598013898641:-317773754997913806337771957296826870475082781810178912417317561",
  "ainvs": [
    "1",
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  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
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  "naive_height": 287.83289049388566,
  "faltings_height": 21.1329105683589,
  "conductor": "168013045163317658634330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "23",
    "31",
    "163",
    "2801",
    "5059",
    "3397291"
  ],
  "discriminant": "164197158555760770562636451201454793948558123392105440244204034615695613033123793270496208570777862100000",
  "regulator": "18280200.46598523119874816038656010566296768018",
  "points": [
    [
      "19595666895933727923184081169970/344588958289",
      "205920364186611971150986065301905616885185/202279576527933913"
    ],
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      "801116474743186067288390388/13446889",
      "-1758955715553113369842753692992830737567/49309741963"
    ],
    [
      "7648840789785330985291703782863111404481515894414534738644498940197680/134151575635778919530088938255673010269835679041441",
      "-3039405276485387306238797526717255929112605900891879823933783174538652613567705481762612718944949363025/1553794811373209208312349929787628603807692141039261980938915689742562324239"
    ],
    [
      "23882741343073427947490733603870980089851554924450041229937746584796558760/399910104198472782626952823374962673399964296876689641",
      "9504367746900814652675404505690727400284564087495978736993464259996932612630662161797510370994628248055327405/252896934959770960484141302512752902219818700405219671804692763859353849147340939"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "Rational 2-isogenous representative of Fisher's 2016 rank-4 curve with torsion Z/10Z. Quotient taken by the rational point of order 2.",
  "created_at": "2026-09-26 10:54:26",
  "updated_at": "2026-09-26 10:54:26"
}