{
  "id": 3031,
  "curve_key": "1276118455166355030167289356354641:-51087557546756444603844168000216180528297359849689",
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  "torsion": [
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  "naive_height": 228.91525087807824,
  "faltings_height": 17.0524216673515,
  "conductor": "31153924504241335438249182010590",
  "bad_primes": [
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    "61",
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    "1621",
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  "discriminant": "-307758859260195276257477720931541175647911186499591380895767800007769418255466836139325132800000",
  "regulator": "4311249.46996155247873135318290581518572415613195342010",
  "points": [
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    [
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  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Lecacheux - Petricevic (2021). Source: https://dujella.github.io/tors/z5old678.html (curve entry 9). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:34:07",
  "updated_at": "2026-09-26 20:34:07"
}