{
  "id": 3216,
  "curve_key": "113280078651527782568005294743834721:-38069749320298419474333651629427236327570941169182225",
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  "rank_lower_bound": 15,
  "torsion": [
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  "naive_height": 242.14551417917843,
  "faltings_height": 17.96715452826581,
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  "bad_primes": [
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  "discriminant": "2515494269398113961594848355908555284033734064445209719662471687323901833820855380255187307706584512",
  "regulator": "171611684664390649.62769239138963022116704391418896957861408574480279",
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  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2009). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 43). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:43:06",
  "updated_at": "2026-09-26 20:43:06"
}