{
  "id": 749,
  "curve_key": "2044177635310138062594816912325532666790721:-2886941150806763880822351184373445643474677288637327318762912481",
  "ainvs": [
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  "rank_lower_bound": 25,
  "torsion": [],
  "naive_height": 292.270708440133,
  "faltings_height": 22.229854889233398,
  "conductor": "177333897875358942044372289057029604297059583650472500267542082220662532175676168235349290979480373230777830",
  "bad_primes": [
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    "3",
    "5",
    "7",
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    "61",
    "17771167",
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  "discriminant": "120080217677316199668311097724447725701536431329135427246597561632874347406635426151185898153213667707949647047402956800000",
  "regulator": "28514027801648985702331644406.56323143521063600484270591458480527697299074544975808256407",
  "points": [
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  ],
  "submitter": "Valery Asiryan",
  "history": [],
  "commentary": "Specialization T=-332/267 of the family identified by wgxli in the commentary to curve #302. The points were obtained by specializing reconstructed generic sections and running minimized quartic searches. The 25 listed points are certified independent by exact quadratic-character certificates.",
  "created_at": "2026-09-16 19:04:54",
  "updated_at": "2026-09-16 19:04:54"
}