{
  "id": 3825,
  "curve_key": "16604986987355097718430626710004596233281:-2121988812069413879489805744484065101269718333381048636408929",
  "ainvs": [
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  "rank_lower_bound": 25,
  "torsion": [],
  "naive_height": 277.8315650938139,
  "faltings_height": 21.00971006138692,
  "conductor": "1669216171233312020362546059902352622250158945767442781520602685033470881912751468781463290",
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    "39103054900077738653108296393"
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  "discriminant": "43740371997171235605565776190517886702263859429095691918702389138080257954895854932753893810983384086410790400000000",
  "regulator": "25109180030776044332253459.56598040940777053119861458864375109280818332922822606350388760",
  "points": [
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  "submitter": "7fff-zip",
  "history": [],
  "commentary": "X1008; T=251/63; 2-neighbor step: yes (Q has vector q=[-1,0,0,2,0,1,1,0,2,-1,-1,2,-1,-2,1,1,1] in source section basis; h(Q)=12; F'=O+Q-F).",
  "created_at": "2026-10-03 05:21:54",
  "updated_at": "2026-10-03 05:21:54"
}