{
  "id": 4120,
  "curve_key": "13575468607079872138512710707260138931654024486278097425:-50015726201156567766078828545995531160731863030037293470981883134052755462138645625",
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  "rank_lower_bound": 21,
  "torsion": [
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  "naive_height": 380.8435782202837,
  "faltings_height": 29.41640564042595,
  "conductor": "4178638861833190752303116809257681047270030756539116341979925537516195581325565936225850",
  "bad_primes": [
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  "discriminant": "171117769459803743068767682072176958945198451364160753183162248861211276528863305664316066926965040004276624407303670629457651732009717871980905630188544000000",
  "regulator": "24287962520379094105944.112291746692964269703295948714549038623209441633673172566",
  "points": [
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      "339000096846755832758320419",
      "984911139822489366391908086863128198665"
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      "246011396771319350248524585",
      "1788875981458828691226465015966577392171"
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      "-281057372022911784527489971",
      "10732018433151036596242108450629438461535"
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      "7616510087280599447617936329",
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  "submitter": "wgxli",
  "history": [],
  "commentary": "specialization at T = -69701/5921 of the rank-9 fibration of X1152 given by:\ny^2 + (8764T^2 - 671960T + 487701)xy = x(x + (283T - 1919)(27T - 83)(T - 32)(8709T + 279467))(x + 529(69T - 338)(3T + 38)(17T + 149)(87T + 884)).",
  "created_at": "2026-10-09 20:19:28",
  "updated_at": "2026-10-09 20:19:28"
}