{
  "id": 3092,
  "curve_key": "542555902158109134055644601:-12547022684718814206838843305663590754349",
  "ainvs": [
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  "rank_lower_bound": 10,
  "torsion": [
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  "naive_height": 184.6750000722469,
  "faltings_height": 13.240499946417676,
  "conductor": "1193624120238989081597757186113730",
  "bad_primes": [
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  "discriminant": "1321021136520345016858053133819365485120133439119067101066260363597162250000",
  "regulator": "323188815.3406379418194566418951504842722419729377967011091",
  "points": [
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    [
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    [
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    [
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Kulesz (2005). Source: https://dujella.github.io/tors/z2z2old1011121314.html (curve entry 78). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:36:55",
  "updated_at": "2026-09-26 20:36:55"
}