{
  "id": 3721,
  "curve_key": "244821410361832810728531539776:-118789687470121281591113500855156126844295040",
  "ainvs": [
    "0",
    "1",
    "0",
    "-5100446049204850223511073745",
    "137488064201527560952142742891541383860019"
  ],
  "rank_lower_bound": 22,
  "torsion": [],
  "naive_height": 203.01097955484406,
  "faltings_height": 14.812239255602549,
  "conductor": "10142674384910056605378619013722350501344515415761291339100408498665246414632",
  "bad_primes": [
    "2",
    "3",
    "17",
    "213696269",
    "3598663233216516383434289",
    "32326164135403689927690302137136189908819"
  ],
  "discriminant": "325809640186477339275105128332862344666117406187196939801701771662100169732457102592",
  "regulator": "10591661684131573744248910.12437983098272214810646510726205458306342035395001834055",
  "points": [
    [
      "-72312219314285",
      "358033401272404081962"
    ],
    [
      "-58391101283909",
      "486027835618841045226"
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      "27995494535113",
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      "-100876636560466163322"
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      "5827395151870189/4",
      "444323125766713996364067/8"
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    [
      "842425512791779/25",
      "-7787040149920062984642/125"
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      "71649835242430",
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      "99685134354847",
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      "67413196979695",
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      "13323841336615",
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      "21463789399682586570"
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      "-177663539090100261123774"
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    [
      "-10519178077337",
      "435863034364206063870"
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    [
      "52299949624249",
      "-117431879787607514958"
    ],
    [
      "5732079687565366/121",
      "62122983096952142435319/1331"
    ],
    [
      "27563732289913",
      "133575962405680563570"
    ],
    [
      "13567919973123145/289",
      "-190965221736131563159806/4913"
    ],
    [
      "-105923824850355125534771/4553280484",
      "-151628823766619184839700335083914723/307246260499352"
    ],
    [
      "131367544975071434361571/3785571729",
      "11124663516896492187027953477658586/232914871770183"
    ],
    [
      "19254427731479158290811/244828609",
      "1808133593143301559781019440511274/3830833245023"
    ],
    [
      "1420257743526623355731552161/39118207347025",
      "-3154148956864624929630234142242709365834/244663067532637246375"
    ]
  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = 12/19 of a rank-17 fibration of X1008 (2-neighbour of the one in curve#751).",
  "created_at": "2026-09-30 19:58:29",
  "updated_at": "2026-09-30 19:58:29"
}