{
  "id": 454,
  "curve_key": "6299287820240636088244700286288001:-499445532497129635199627955681385494502749213432001",
  "ainvs": [
    "1",
    "0",
    "0",
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    "578061958908714844618861371898647409879281000000"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "naive_height": 233.47723395421423,
  "faltings_height": 17.231066584084118,
  "conductor": "48571732705069193627462048891253241365235087439863767107855112003052079310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "17",
    "23",
    "41",
    "1321",
    "5881059288089786454738776702503323780607714810733681828073617179"
  ],
  "discriminant": "298825468998917412750017160115596332210490894333456031803464670941710970484839291899514880000000",
  "regulator": "70349526889012452535.0097970829042131158143485048489553615285752530908121405306",
  "points": [
    [
      "6862235758657840",
      "25296868339673097611560"
    ],
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      "10315239775666750",
      "567383753741380747100500"
    ],
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    ],
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      "-1949078438824482256643600"
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      "4588031801880100",
      "-269312259069224891846600"
    ],
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      "108190127928602800",
      "-35394298866193127405811800"
    ],
    [
      "41876785154258992",
      "-8277693740896341868236248"
    ],
    [
      "6195016754995330",
      "-53025654583107238716230"
    ],
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      "6438448507060000",
      "2848264865655133081000"
    ],
    [
      "297693003001101520/49",
      "-24259777600490980330448840/343"
    ],
    [
      "8050728316248880",
      "-208146694220975479568600"
    ],
    [
      "5818510120710640",
      "-107027310861226873165400"
    ],
    [
      "12789484226498800",
      "-995800912668197490191000"
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    [
      "19035914613968800",
      "2231109512317680899222200"
    ],
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      "19520233190737840",
      "2335444475839526334130600"
    ],
    [
      "5508534115689880",
      "149329365122860093918720"
    ]
  ],
  "submitter": "Bhavik Mehta",
  "history": [],
  "commentary": "Found by specializing Noam D. Elkies's rank-17 elliptic K3 fibration (arXiv:2608.25406) at t = -15/7. 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 15:55:05",
  "updated_at": "2026-08-30 15:55:05"
}