{
  "id": 3211,
  "curve_key": "1432285954800528605192255968570565281:-1710060501553341726534033811999384113394807080390910321",
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  "rank_lower_bound": 15,
  "torsion": [
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  "naive_height": 249.7570052564862,
  "faltings_height": 18.61913885360596,
  "conductor": "20373912393913499123029748197579404326128537369302233310",
  "bad_primes": [
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  "discriminant": "8070693093581591180822228382795977201485579450221014391575872803702014639263428233406411210777889920000",
  "regulator": "3245875390024370.2935528698440885198622306450119168534951651897286175",
  "points": [
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  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2009). Source: https://dujella.github.io/tors/z2old141516171819.html (curve entry 44). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:42:52",
  "updated_at": "2026-09-26 20:42:52"
}