{
  "id": 431,
  "curve_key": "2022509859047680722632010171666256:-91478131194686625163951397064976491250593320211904",
  "ainvs": [
    "0",
    "1",
    "0",
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    "105877466660516913227884540253347402151079039600"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "naive_height": 230.0803688081861,
  "faltings_height": 17.01452211919331,
  "conductor": "2265959254716445430438863265989168698042215532450755065489869558062322360",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "37",
    "71",
    "109",
    "103577262275125889",
    "261899634925063603879508896992741770234315969"
  ],
  "discriminant": "-55022343847835744641882964746299383827848669540032026520029197872137136857827875016113503200000",
  "regulator": "28294149260330363850.5939340333993450633051248226970528120206470659169584483158",
  "points": [
    [
      "14876401308396490",
      "1664724447800859994713450"
    ],
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      "-291628817419821723076950"
    ],
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      "874590596283888376979372/27"
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      "3290150727445015",
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      "11779407378473428",
      "1115342934804045558034164"
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      "3666034693317430",
      "-26031239863359457279410"
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      "7004910280329850",
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      "-5816811217160510",
      "392630762165060182356450"
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    [
      "2560678840579150",
      "-121541091389674892445510"
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    [
      "3544125324880600",
      "-32568036387271480763460"
    ],
    [
      "-3815458612800830",
      "-459455975828420059430370"
    ],
    [
      "1059524529032446150/49",
      "1046269943811131894456285970/343"
    ],
    [
      "-6046497608743730",
      "-373616977585042226019270"
    ],
    [
      "13629890936117890",
      "-1436541644452482083008350"
    ]
  ],
  "submitter": "Bhavik Mehta",
  "history": [],
  "commentary": "Found by specializing Noam D. Elkies's rank-17 elliptic K3 fibration (arXiv:2608.25406) at t = -11/6. The 3 points beyond the seventeen generic sections came from searching the 1311 norm-4 quartic covers of the Mordell-Weil lattice; the claimed lower bound is rank >= 20.",
  "created_at": "2026-08-30 01:39:37",
  "updated_at": "2026-08-30 01:39:37"
}