{
  "id": 4074,
  "curve_key": "30592916210348577418180863984482206007045771180779905841:-169069550089910377592306295712869487443950755192062527057585693640767441843352366889",
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  "rank_lower_bound": 20,
  "torsion": [
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  "naive_height": 383.2810905223306,
  "faltings_height": 29.70728505063832,
  "conductor": "428177454037705020017159567275865585425893230857404351193992550565248483845677250700590",
  "bad_primes": [
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    "5",
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    "11",
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    "17",
    "19",
    "29",
    "37",
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    "6317",
    "13309",
    "25301",
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    "93889",
    "5302471"
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  "discriminant": "27898672880071397250402269997756377230491942813914356585194505563382055150318183713122713074381303582912360140115457802497387639455819721319288153821215910400000",
  "regulator": "23076576394292139916487.5937315055868522134506693065918998324606354639078552286",
  "points": [
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      "982975130395123262337382272811428814023"
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      "345217836055165137568492674",
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      "12511066056302660726291367789795821311263"
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      "693705253958426178265433322",
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      "2352214472391878705337766494",
      "108217792508707862364931548839528873150703"
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    [
      "14813521189590297926328186351/4",
      "1764127517149321600817055800637496208855049/8"
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  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "specialization at T = 62879/25160 of the rank-9 fibration of X808 given by:\ny^2 + (4224T^2 + 29864T - 18691)xy = x(x + (289T + 239)(45 - T)(5329T + 21775)(T + 6))(x + (169T + 874)(4489T + 5852)(7 - T)T).",
  "created_at": "2026-10-09 04:47:08",
  "updated_at": "2026-10-09 04:47:08"
}