{
  "id": 2087,
  "curve_key": "2116616540327770014877264:11341947179129492061613850418073088",
  "ainvs": [
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    "1",
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  "rank_lower_bound": 11,
  "torsion": [
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  "naive_height": 168.03558322223478,
  "faltings_height": 12.071204856102797,
  "conductor": "23354778245864734004307533064634560",
  "bad_primes": [
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    "3",
    "5",
    "11",
    "13",
    "19",
    "23",
    "29",
    "31",
    "41",
    "43",
    "53",
    "61",
    "71",
    "97",
    "101",
    "103",
    "113",
    "139",
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  "discriminant": "5487530246558041661262879662061492376477533239190156985964379513240000",
  "regulator": "134626083002.675186460383627562439976572126426296192064131948",
  "points": [
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    ],
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      "500773387317",
      "321691806706857900"
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    [
      "-7890482271/25",
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    [
      "3366412082697/16",
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    ],
    [
      "420758203750689/400",
      "-8456980163036971143513/8000"
    ],
    [
      "615535136134077/1156",
      "-14032961207988403390275/39304"
    ],
    [
      "16259779633749/49",
      "-50751554300529619272/343"
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    [
      "523592769381",
      "-347046207576241656"
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    [
      "-168286255179",
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    [
      "-493363627491/4",
      "-476611550471411763/8"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1202 (NDElkies); 4-isogenous partner of curve#1375 (jesper-petersen). Isogenous to curve#2088 (also ours).",
  "created_at": "2026-09-26 06:54:10",
  "updated_at": "2026-09-26 06:54:10"
}