{
  "id": 3059,
  "curve_key": "12260405294645126515905547744921:-42929639243534694577228691449314416663001969469",
  "ainvs": [
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  "rank_lower_bound": 8,
  "torsion": [
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  "naive_height": 214.75178333422144,
  "faltings_height": 15.343782833174675,
  "conductor": "1373748530431186186949942270",
  "bad_primes": [
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    "41",
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  "discriminant": "7556631150594505898067847544936885651835411200029587028163854110570015401488250000",
  "regulator": "2508393.73042159033948091359184731093824264158992228238",
  "points": [
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      "35560151863295610182"
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    [
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Peral (2020). Source: https://dujella.github.io/tors/z6old678.html (curve entry 65). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:35:21",
  "updated_at": "2026-09-26 20:35:21"
}