{
  "id": 3067,
  "curve_key": "781232319692544231854423991616:-19331291926628609589536521596420963681055655936",
  "ainvs": [
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  "rank_lower_bound": 9,
  "torsion": [
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  "naive_height": 213.15610862206677,
  "faltings_height": 15.820792768231826,
  "conductor": "261177474612557023438148127247354080",
  "bad_primes": [
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    "3547",
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  "discriminant": "-215984978453246842484728532096134101898034315817364583602411449945111822862813681713254400",
  "regulator": "1578920993.8898403897227873265929180851503555154049438270",
  "points": [
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    [
      "11734315925224435105/2704",
      "40184485126455200520458751625/140608"
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  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2009). Source: https://dujella.github.io/tors/z4old9101112.html (curve entry 46). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:35:43",
  "updated_at": "2026-09-26 20:35:43"
}