{
  "id": 437,
  "curve_key": "982169972709476245657329041982391561:-974207286224908884676425617237475025109195112429683941",
  "ainvs": [
    "1",
    "0",
    "1",
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    "1127554729426977874077743817330162797017594385944556"
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  "rank_lower_bound": 20,
  "torsion": [],
  "naive_height": 248.62692768645752,
  "faltings_height": 18.486625575264707,
  "conductor": "279764396370622643502518105435046713192665829643494765937578943117437538847250370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "73",
    "4271",
    "40787",
    "24936695890063",
    "1546216870694055870470428898192667023018326472784167"
  ],
  "discriminant": "-938574726530719210755177966086236778183778997655149161845867777826842521457027328930277609978004062500",
  "regulator": "759600548686439624124.570876383637238779487807698203757503091425997693324246277",
  "points": [
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      "-29095555953791513662777333"
    ],
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    [
      "29371964736498378715/361",
      "-7920192142681787362838972797/6859"
    ],
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      "-30162009486628385",
      "41440151897520866694138617"
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      "811720568109156340",
      "-720661518287744113009720108"
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    [
      "-55455492923536643",
      "45735491018870519710718843"
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    [
      "62170130145264490",
      "9784306914266307624081992"
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    [
      "1579021533230815",
      "-33094545262479709029624583"
    ],
    [
      "50064133811228215",
      "15120526774068208521288767"
    ],
    [
      "413046305928739735/4",
      "-86052141975137818579582739/8"
    ],
    [
      "65207523540886075",
      "8399424854825346272676857"
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    [
      "-142932803509844285",
      "-33647305515640605454616983"
    ],
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      "85076111264444440",
      "-1585627019974099665793108"
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      "-150540057123058925",
      "28218809655020245864203107"
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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 = 33/4. 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 04:29:52",
  "updated_at": "2026-08-30 04:29:52"
}