{
  "id": 3062,
  "curve_key": "7469803531441697644046428267216:-20329872032063692630000169376620956157634796736",
  "ainvs": [
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  "rank_lower_bound": 8,
  "torsion": [
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  "naive_height": 213.2652644628252,
  "faltings_height": 15.600845135567612,
  "conductor": "115810393716612793243662456840",
  "bad_primes": [
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    "31",
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    "71",
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    "151",
    "197",
    "241",
    "569",
    "1039",
    "1877"
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  "discriminant": "2023227811230088546497226503132287116098132934258520579328121679814596936318563961760000",
  "regulator": "8027412.25470054319680923294949961742219443851442410036",
  "points": [
    [
      "-119848234211200",
      "6360769086691746325950"
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    [
      "3704327230850",
      "4790983672414742751000"
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    [
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    [
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      "2623201761704752568340"
    ],
    [
      "110898103490818270",
      "36930350949386712434893640"
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Peral (2016). Source: https://dujella.github.io/tors/z2z4old678.html (curve entry 12). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:35:28",
  "updated_at": "2026-09-26 20:35:28"
}