{
  "id": 2915,
  "curve_key": "1970942695348034076725161:-2752620486579930475753753208276629909",
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  "torsion": [
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  "naive_height": 167.82166255712258,
  "faltings_height": 11.822610771871057,
  "conductor": "320501413516974788372430",
  "bad_primes": [
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    "5",
    "13",
    "17",
    "19",
    "23",
    "29",
    "41",
    "101",
    "179",
    "359",
    "2129",
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  "discriminant": "45968882461331579842597510690020998864488751106165755191215428062500",
  "regulator": "152835.0494692347155288265081305908348001599613547251",
  "points": [
    [
      "58085745864",
      "31572195682253005"
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    [
      "67056207819",
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    [
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    [
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Eroshkin (2008). Source: https://dujella.github.io/tors/z6old678.html (curve entry 136). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:28:10",
  "updated_at": "2026-09-26 20:28:10"
}