{
  "id": 34,
  "curve_key": "5534713447956935783296:-263476812012507022000959221131360",
  "ainvs": [
    "0",
    "1",
    "0",
    "-115306530165769495485",
    "304950013864929098742150007444"
  ],
  "rank_lower_bound": 11,
  "naive_height": 150.19598024032572,
  "faltings_height": 10.55322744350137,
  "conductor": "159117919909446340006437537659166966132164",
  "bad_primes": [
    "2",
    "19",
    "23",
    "29",
    "31",
    "37",
    "47",
    "53",
    "59",
    "61",
    "67",
    "79",
    "83",
    "97",
    "7163230956091032353"
  ],
  "discriminant": "57942789150218118922071208483979411230699716000862987088178512",
  "regulator": "251615995233.483808978493583609207799224828706024666003168936",
  "points": [
    [
      "16720669911",
      "1746918971478919"
    ],
    [
      "-27494384469/25",
      "82009061233472771/125"
    ],
    [
      "24003278596/9",
      "3457124546861636/27"
    ],
    [
      "-473203304125/49",
      "246826926055649591/343"
    ],
    [
      "143049082761/64",
      "123719807142058949/512"
    ],
    [
      "-5963359769",
      "883457619817881"
    ],
    [
      "6678087633629/676",
      "6335744808950599147/17576"
    ],
    [
      "10500034749/4",
      "1141436027393173/8"
    ],
    [
      "9063959795",
      "66852115553887"
    ],
    [
      "70954716481/25",
      "2933723417746929/125"
    ],
    [
      "13823082740",
      "1162901547372488"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Schneiders - Zimmer (1991). A curve of rank exactly 11, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:12:12",
  "updated_at": "2026-07-01 22:49:32"
}