{
  "id": 3227,
  "curve_key": "2480219007890862954799982287415195641:-3905795612444303993747658986856516410615883940655938189",
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  "rank_lower_bound": 16,
  "torsion": [
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  "naive_height": 251.40423064109063,
  "faltings_height": 18.629637457750263,
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  "bad_primes": [
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  "regulator": "18332353588657173.64236300117494762475962767939652062903364006112152413",
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  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2009). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 22). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:43:36",
  "updated_at": "2026-09-26 20:43:36"
}