{
  "id": 3563,
  "curve_key": "5976768186384071274755641:-14623022967985111171030671983749330285",
  "ainvs": [
    "1",
    "0",
    "1",
    "-124516003883001484890743",
    "16924795101824243077258212820413422"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "naive_height": 171.15132110017893,
  "faltings_height": 12.02688794558756,
  "conductor": "11071590412635459962473009119576352361061912474190369886489478",
  "bad_primes": [
    "2",
    "3",
    "7",
    "37658470791277074702289146665225688302931675082280169681937"
  ],
  "discriminant": "-192207304629059114945276202357548024987093391688409342519631252808068",
  "regulator": "130275363866602537954.715001109493735466591015340025186227526577429044789596742",
  "points": [
    [
      "205430303544",
      "3863069705320498"
    ],
    [
      "258619589421",
      "44944878438138988"
    ],
    [
      "282800461668",
      "-65794442351879114"
    ],
    [
      "1248623325933",
      "-1344667926294510740"
    ],
    [
      "24136473498",
      "-118040170674420224"
    ],
    [
      "799640407815/4",
      "-37528520320317187/8"
    ],
    [
      "421218699351/4",
      "564575692469463809/8"
    ],
    [
      "76409637441",
      "88637904657622090"
    ],
    [
      "213030537378",
      "-8175547133496584"
    ],
    [
      "-336557589112",
      "-143907381443902635"
    ],
    [
      "-406883645094",
      "-15065762405160347"
    ],
    [
      "254989624236",
      "-41879204496811835"
    ],
    [
      "130813346256",
      "53618356448445178"
    ],
    [
      "-48641761857",
      "151216377537800170"
    ],
    [
      "298588083189",
      "79789411305081388"
    ],
    [
      "207913497999",
      "4891376232529858"
    ],
    [
      "213571925151",
      "8562699991043290"
    ],
    [
      "34631268504270/169",
      "8225096049760644172/2197"
    ],
    [
      "183954223026690/841",
      "-302779977641444124856/24389"
    ],
    [
      "-4635999190191150/14161",
      "253343203819675542984419/1685159"
    ]
  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = -1/5 of a rank-17 fibration of X1008 (2-neighbour of the one in curve#751).",
  "created_at": "2026-09-28 15:23:26",
  "updated_at": "2026-09-28 15:23:26"
}