{
  "id": 2033,
  "curve_key": "104150596502444801529229993795012321:33595148224619129120342926513732233927298885193321519",
  "ainvs": [
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    "0",
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  "rank_lower_bound": 9,
  "torsion": [
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    2
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  "naive_height": 241.8934378915018,
  "faltings_height": 17.906330194075252,
  "conductor": "59581557002530875732300241072530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "23",
    "31",
    "107",
    "163",
    "563",
    "887",
    "1621",
    "1823",
    "6701",
    "9341"
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  "discriminant": "650260669135709618982645009427312607974621704366998887920452078107108038431525075479966257501441600",
  "regulator": "203367184191.95135492731657200855887559120525415013388617",
  "points": [
    [
      "-3218671840802764000/121",
      "-148497103686576181600795250/1331"
    ],
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      "-26843876451231328",
      "138388149776194963713722"
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    [
      "19843972397623100008/289",
      "57266638329669335108262087686/4913"
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    [
      "-2130086281740485182658795710/79697242249",
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    [
      "31151293919806847822984177/219750976",
      "-162949768733096607821801446144585598851/3257588468224"
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    [
      "2980346680685942157810533/1926544",
      "5142815292464544073768687723104580609/2674043072"
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  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1827 (Klagsbrun (2020)). Isogenous to curve#2098, curve#2099 (also ours).",
  "created_at": "2026-09-26 05:05:02",
  "updated_at": "2026-09-26 05:05:02"
}