{
  "id": 3831,
  "curve_key": "387697225575912473954979792610231041121:-7582826651032379746330033279325731562917610952628232327185",
  "ainvs": [
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  "rank_lower_bound": 24,
  "torsion": [],
  "naive_height": 266.5598641089789,
  "faltings_height": 20.061193644891222,
  "conductor": "1529108655088467286102728130100835419136769737138957249682644526220220375684016884246",
  "bad_primes": [
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    "29",
    "43",
    "2203",
    "22477874349842222816746669",
    "137082944298583090081816824754998126221381367547"
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  "discriminant": "448597245691616428357458436372564565690179309287214251433013839483227168901248198752348505771019431620586995712",
  "regulator": "463261904829387031949875.84677607860326544150753244381486210047502106408364506657462206",
  "points": [
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      "-8649497536246218136084/3025",
      "-484889661084375755619932825984854/166375"
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      "1450017564010429472356/961",
      "4660545124743006213600960443986/29791"
    ],
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      "19779979479416750605/16",
      "-52798241310599230172459494469/64"
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      "1499149521005822660",
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  ],
  "submitter": "7fff-zip",
  "history": [],
  "commentary": "X1008; T=-277/187; 2-neighbor step: yes (Q has vector q=[-1,0,-2,1,-1,1,0,0,1,0,2,-2,1,1,-1,0,1] in source section basis; h(Q)=12).",
  "created_at": "2026-10-03 05:22:20",
  "updated_at": "2026-10-03 05:22:20"
}