{
  "id": 5759,
  "curve_key": "0:675890084548819780548365732839200",
  "ainvs": [
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    "0",
    "0",
    "0",
    "-782280190450022894153201079675"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 151.18716651164553,
  "faltings_height": 10.65658645176209,
  "conductor": "3129120761800091576612804318700",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "19",
    "23",
    "29",
    "53",
    "67",
    "163"
  ],
  "discriminant": "-264367712032066407090622751148132647568866907236269021581630000",
  "regulator": "3443898008127.51716234633833658035009463271972167117838",
  "points": [
    [
      "449134629824542238241943077979/47826095710599587161",
      "-70875143170302216296921891689341023251693508/330748126587889105292127909341"
    ],
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      "1509263204908551656512385161/22852269127908900",
      "-58554058659246462390196430000977765939909/3454569982817176203063000"
    ],
    [
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      "8519537534232302560322065039235011471258703162/454615888174211459444597575875"
    ],
    [
      "119603781270628758800288285677730834161/12290645203804342002700961344",
      "508467640459023763871491588086251483458699202253611511241/1362580040596748032716874703333143837276672"
    ],
    [
      "2928986063334859363668647137834891/235295120901916003345209",
      "-122217105557235052161041835680537366945142426702664/114135141757713445261901118766433427"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2023), A^2 = 340431140685090^2, [r, s, t] = [90, 163, 276] or [326, 335, 371] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-24 19:47:00",
  "updated_at": "2026-10-24 19:47:00"
}