{
  "id": 3021,
  "curve_key": "11722830483537881118962174657208782401:-40936644286963413219774042081376503084435223816060533601",
  "ainvs": [
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  "rank_lower_bound": 8,
  "torsion": [
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  "naive_height": 256.1032412638832,
  "faltings_height": 19.236664695626427,
  "conductor": "43062211048210759214042283651195210",
  "bad_primes": [
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    "23",
    "31",
    "47",
    "59",
    "71",
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    "265891",
    "21181542195061"
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  "discriminant": "-37501009083084152199728978719848147286950788535323613300898798208251398589338905283062633907968330956800000",
  "regulator": "8695710.27884904435142081436494105715501945412030039845",
  "points": [
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      "215794269656731132",
      "68751803745826886566570852"
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    [
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      "102348760844784979939372660"
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    [
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    [
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    [
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      "179164459984599002204298100"
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  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Eroshkin (2009). Source: https://dujella.github.io/tors/z5old678.html (curve entry 2). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:33:40",
  "updated_at": "2026-09-26 20:33:40"
}