{
  "id": 4026,
  "curve_key": "731460600719498355436145041:-17928997156426505289730302794848413599161",
  "ainvs": [
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    "-15238762514989549071586355",
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  "rank_lower_bound": 18,
  "torsion": [],
  "naive_height": 185.5712567697683,
  "faltings_height": 13.434837541063631,
  "conductor": "2684506118155302960385266241019671454852597562307962510",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "41",
    "76697",
    "6609633666534888625281810452765988139621"
  ],
  "discriminant": "40455901908196012820569381215253175459743119005788528179768495122834764800000",
  "regulator": "888224184097647.30683684210135241118388225940474392602103715858014661540260",
  "points": [
    [
      "-4310146633970",
      "2522162367312024025"
    ],
    [
      "62195903888536",
      "489558210663389164417"
    ],
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      "87641132346307392858521/4913"
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      "72769717517372350/361",
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      "1248275115311230/841",
      "28884287856807468348605/24389"
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      "-535470695586950/121",
      "-1642033472834658042145/1331"
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    [
      "4033034425363390/2809",
      "201489583290071147398565/148877"
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    [
      "73060013576710558/2209",
      "-19615509425393467794874009/103823"
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    [
      "730779454332894910/249001",
      "-142022308380390222988810445/124251499"
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      "190683582919630/121",
      "-1073165614156894802725/1331"
    ],
    [
      "329882611525440/49",
      "-5125445690839480776615/343"
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      "-5959001268785/4",
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    [
      "143376667557782290/49729",
      "-9806313645521316300748685/11089567"
    ],
    [
      "21929859030760",
      "-101158534638487791305"
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  ],
  "submitter": "7fff-zip",
  "history": [],
  "commentary": "D504/X1008 2-neighbor; T=1/10. Pencil C=P+O-F, u0=t-c/g. u0=(-93282*T+(78156))/(-225701*T+(-180536)).",
  "created_at": "2026-10-05 14:05:49",
  "updated_at": "2026-10-05 14:05:49"
}