{
  "id": 465,
  "curve_key": "51902379174853065865065446062803825:-11615663361650730126042967817835547986705997380095625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-1081299566142772205522196792975080",
    "13444054816725382360652400584113824513310769285547"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "naive_height": 239.80401809833197,
  "faltings_height": 17.87410555530311,
  "conductor": "552136283056792471612235047565760868415703923468362182316699199502637519650",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "17",
    "19",
    "47",
    "18311",
    "126097",
    "2098363",
    "491413837938047",
    "237384597778199107130020958230954937"
  ],
  "discriminant": "2832147139862193411730073077711106912122893965070091404383155925798452373209165911247341766656000000",
  "regulator": "68655810722195745653.6958697703802531988591140070205372728375888837505394785991",
  "points": [
    [
      "21465017867702669",
      "351969769514110501391865"
    ],
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      "233891125788825341164695165"
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      "6714510856222717365524505"
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      "531421511023887749/25",
      "-31627897373751726068186667/125"
    ],
    [
      "-329245570656194699/9",
      "54283381878156595171181635/27"
    ],
    [
      "794568163704975101/49",
      "-143049151521797172622493025/343"
    ],
    [
      "22889852294169549",
      "828431554905451092565625"
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    [
      "-24508707674645011",
      "-5022300145365397618045095"
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      "-37810377567782131",
      "-523212950167446699350535"
    ],
    [
      "69466345758813549",
      "16539197684665564599517625"
    ],
    [
      "15962683507095299",
      "-501018758633353554517125"
    ],
    [
      "15385182101222765",
      "-670668023859907374597927"
    ],
    [
      "81887547763773869",
      "21771582533835410351313465"
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    [
      "21148544439483149",
      "-187244728200388638810375"
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      "21933473706366669",
      "-528294285584731517664135"
    ],
    [
      "24267918308505989",
      "1222830933960167615332905"
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  ],
  "submitter": "Bhavik Mehta",
  "history": [],
  "commentary": "Found by specializing Noam D. Elkies's rank-17 elliptic K3 fibration (arXiv:2608.25406) at t = -44/7. 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 20:01:09",
  "updated_at": "2026-08-30 20:01:09"
}