{
  "id": 450,
  "curve_key": "96502466641698658531412326106171425:-20143475549413942809060593171931160379644583476258225",
  "ainvs": [
    "1",
    "0",
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    "23314207811821692898503348621971264563108905459492"
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  "rank_lower_bound": 20,
  "torsion": [],
  "naive_height": 241.66462991362692,
  "faltings_height": 18.17132358939519,
  "conductor": "888735090626810706944509868941940721155142515753300241090222766850970045547741350",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "23",
    "11189001176854786133142344346792976666120804409872424249855031759053423521"
  ],
  "discriminant": "285267030962999808448346776054780805713244475992717208279950427261223743384885341566438287380398080000",
  "regulator": "661837268961667135129.059658574929550524616910143826827095640318820065520088125",
  "points": [
    [
      "-27130170396407988",
      "7608514413102741553674714"
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      "38064547469141622",
      "1392388564597634368757694"
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      "45164272108636772",
      "-4963817305717431419719006"
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      "-17391069963921108",
      "7281379083316975217309274"
    ],
    [
      "1105529654237728044/25",
      "571238285332346280530269362/125"
    ],
    [
      "-7789497035479068",
      "6205006465404777931800354"
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    [
      "52237049297374032",
      "-7799552073539349075853446"
    ],
    [
      "94124781432133452",
      "-25845220892620229601780006"
    ],
    [
      "41540581832771112",
      "-3388429057648150711235586"
    ],
    [
      "9519991137177612",
      "-2244408333158575931327526"
    ],
    [
      "1269835370373966396/25",
      "-903475986468587223207559134/125"
    ],
    [
      "1999165719604383148/9",
      "-2771539088816321101319796482/27"
    ],
    [
      "3231549458018590072/81",
      "-1873652719933011007318645954/729"
    ]
  ],
  "submitter": "Bhavik Mehta",
  "history": [],
  "commentary": "Found by specializing Noam D. Elkies's rank-17 elliptic K3 fibration (arXiv:2608.25406) at t = -7/16. 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 15:55:02",
  "updated_at": "2026-08-30 15:55:02"
}