{
  "id": 3219,
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  "rank_lower_bound": 15,
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  "naive_height": 226.63156499585256,
  "faltings_height": 16.61292018654137,
  "conductor": "23989560829689213420672070983398343053293012701577866",
  "bad_primes": [
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  "discriminant": "81193164039726443329464018245958898147162114558075629677434784013166505005608479221831145472",
  "regulator": "23049205338222122.729853443485517726608197094572861292143702920494237",
  "points": [
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  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2009). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 48). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:43:14",
  "updated_at": "2026-09-26 20:43:14"
}