{
  "id": 2088,
  "curve_key": "12924365159354423851814464:-211340155611926190278273054462095601152",
  "ainvs": [
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    "1",
    "0",
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  "rank_lower_bound": 11,
  "torsion": [
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  "naive_height": 176.49306459021813,
  "faltings_height": 12.764352036662743,
  "conductor": "23354778245864734004307533064634560",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "19",
    "23",
    "29",
    "31",
    "41",
    "43",
    "53",
    "61",
    "71",
    "97",
    "101",
    "103",
    "113",
    "139",
    "181",
    "373"
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  "discriminant": "-24598255536124824273004055070438774374285693390493646779945076555540561920",
  "regulator": "134626083002.675186460383627562439976572126426296192064131948",
  "points": [
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      "1294048017221",
      "1436361997109665284"
    ],
    [
      "1947606677969",
      "2666046777744676824"
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    [
      "446549972450",
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      "-464945328175",
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    [
      "-241439232379",
      "543637579564379484"
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    [
      "-274556166751/16",
      "31950169509492655911/64"
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    [
      "-234588358399",
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    [
      "-284900638486771/484",
      "4751707684103730800253/10648"
    ],
    [
      "-2686086920805766/6889",
      "-308083927350881577391893/571787"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1202 (NDElkies); 4-isogenous partner of curve#1375 (jesper-petersen). Isogenous to curve#2087 (also ours).",
  "created_at": "2026-09-26 06:54:12",
  "updated_at": "2026-09-26 06:54:12"
}