{
  "id": 33,
  "curve_key": "49613792119803779776:-349232792964630602024344083040",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1033620669162578745",
    "404204621142300751511020144"
  ],
  "rank_lower_bound": 11,
  "naive_height": 136.05240160770538,
  "faltings_height": 9.09640726507286,
  "conductor": "535701165729047061464726179383779596",
  "bad_primes": [
    "2",
    "13",
    "17",
    "23",
    "29",
    "31",
    "37",
    "41",
    "43",
    "47",
    "53",
    "59",
    "3057053387069549573"
  ],
  "discriminant": "93873316108015714157059941602262270600638822314912592",
  "regulator": "16764246962.6599538425546112945285195822333923272100049593443",
  "points": [
    [
      "567020697",
      "651563123419"
    ],
    [
      "572060549",
      "345977302867"
    ],
    [
      "618262355",
      "1218864665837"
    ],
    [
      "9588741225/16",
      "1394897103107/64"
    ],
    [
      "2062532261/4",
      "23090550241369/8"
    ],
    [
      "573619772",
      "207397662806"
    ],
    [
      "553608987",
      "1286321677901"
    ],
    [
      "647275079",
      "2520583821587"
    ],
    [
      "573703341",
      "197837573149"
    ],
    [
      "611109417",
      "878062026491"
    ],
    [
      "23257761261641/38809",
      "77388276951103391/7645373"
    ]
  ],
  "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"
}