{
  "id": 3081,
  "curve_key": "0:-17270414609763528165215016042307601952096",
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  "rank_lower_bound": 9,
  "torsion": [
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  "naive_height": 185.299627052304,
  "faltings_height": 13.499291496816962,
  "conductor": "239866869580049002294653000587605582668",
  "bad_primes": [
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    "29",
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  "discriminant": "-172608345366396712291323919343491753752300321995049871551086186347799345994672",
  "regulator": "325017567507.34368434898927436093461168725960569009062506",
  "points": [
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    [
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    [
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      "338768307272049511667230/2363612689",
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Voznyy (2023). Source: https://dujella.github.io/tors/z3old891011121314.html (curve entry 58). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:36:22",
  "updated_at": "2026-09-26 20:36:22"
}