{
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  "curve_key": "5115327147548689346331887366363682227776:-362575758805574906367340888892084291944812443942664664753024",
  "ainvs": [
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  "rank_lower_bound": 24,
  "torsion": [],
  "naive_height": 274.2991799477735,
  "faltings_height": 20.71871881886778,
  "conductor": "17017644300946904962230570591242485880534696930722865713740213827250693014309694750360",
  "bad_primes": [
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  "discriminant": "1382751359187986386684445002061299093673715225998814246064644519127841783607222638123595020313121744924082580000000",
  "regulator": "392818504036211692793203.21488737523885713607395128919221874040781524831632114019401976",
  "points": [
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      "-6202220164936168597865/961",
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    ],
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      "48610955092577400595/9",
      "34305439225627297469805053410/27"
    ],
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      "49314960388867368190/9",
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  "submitter": "7fff-zip",
  "history": [],
  "commentary": "X1008; T=-422/421; 2-neighbor step: yes (Q has vector q=[-2,4,-2,3,-3,1,-1,1,-1,0,3,-2,-1,2,2,0,3] in source section basis; h(Q)=12).",
  "created_at": "2026-10-03 05:22:26",
  "updated_at": "2026-10-03 05:22:26"
}