{
  "id": 4261,
  "curve_key": "30836309743644887601:-145165066335248902956888110505",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-642423119659268492",
    "168015123233810528707511695"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 134.62567367193142,
  "faltings_height": 9.213781315654291,
  "conductor": "74484734718315567875349937711158",
  "bad_primes": [
    "2",
    "3",
    "11",
    "23",
    "61",
    "73",
    "127",
    "223",
    "827",
    "1583",
    "8663",
    "52177",
    "219169"
  ],
  "discriminant": "4773537042427546018312798825340506294971165966329352192",
  "regulator": "32400325377.4110940190444355200230959253198420149522144147200",
  "points": [
    [
      "-710416459",
      "16305627369781"
    ],
    [
      "-189570155",
      "16822306903349"
    ],
    [
      "64602929",
      "11259733719665"
    ],
    [
      "78601705",
      "10862980074509"
    ],
    [
      "279740929",
      "3192696757505"
    ],
    [
      "645370517",
      "4712744866997"
    ],
    [
      "3642408853",
      "214829284199477"
    ],
    [
      "19580160415/4",
      "2704825593676387/8"
    ],
    [
      "-4721845613/9",
      "512757336267263/27"
    ],
    [
      "7434606461/25",
      "225968480938769/125"
    ],
    [
      "98862097861/9",
      "31003528532499335/27"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Found by specializing the family associated with curve#802 at T = 17/3. PARI/GP returned rank bounds [11,11]. Eleven rational points are supplied.",
  "created_at": "2026-10-15 21:02:54",
  "updated_at": "2026-10-15 21:02:54"
}