{
  "id": 3077,
  "curve_key": "32696624991833420899009:-5942026651667434094910265294457377",
  "ainvs": [
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    "-681179687329862935396",
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  "rank_lower_bound": 9,
  "torsion": [
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  "faltings_height": 10.797053014524968,
  "conductor": "574681033331622196154685510",
  "bad_primes": [
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    "7",
    "11",
    "13",
    "19",
    "43",
    "67",
    "97",
    "3604150670923399"
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  "discriminant": "-204122221751241718177893044928344354530298886415319084256460800",
  "regulator": "1082322.7596832676099346188435553218745557711439123684378",
  "points": [
    [
      "2458097096",
      "2284247502195932"
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    [
      "-3345689464",
      "-3019751781976228"
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    [
      "18104595656",
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    [
      "16699524296",
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    [
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    [
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      "15986794850",
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    [
      "22090509896",
      "1615445801268572"
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Eroshkin - Siddiq - Voznyy (2023). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 53). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:36:09",
  "updated_at": "2026-09-26 20:36:09"
}