{
  "id": 2111,
  "curve_key": "32943119762723836426203027297553:-160005839177885133903813674592025175280302227705",
  "ainvs": [
    "1",
    "0",
    "0",
    "-686314995056746592212563068699",
    "185191943492922551492053276048924231453427409"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2,
    2
  ],
  "naive_height": 217.71700566165396,
  "faltings_height": 16.13855865267388,
  "conductor": "1286799043897115641009631514",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "17",
    "29",
    "31",
    "41",
    "47",
    "53",
    "61",
    "113",
    "193",
    "281",
    "599",
    "613"
  ],
  "discriminant": "5873624890364163987432438421136497529808901466977458924617355169939999334108751960527913984",
  "regulator": "103884004.383278508761412488973949128598248526783244151",
  "points": [
    [
      "22938451515193186/625",
      "197674823029467459720804109/15625"
    ],
    [
      "6840850634159794/25",
      "528578782590430901814737/125"
    ],
    [
      "5609575569486906262/19321",
      "8662528189915128516148025851/2685619"
    ],
    [
      "1642974854695977838/5329",
      "662618134790365107525703273/389017"
    ],
    [
      "-378900522424928",
      "-19769672812209174913961"
    ],
    [
      "-81322809103214",
      "-15507004396475680418183"
    ],
    [
      "372481499312909686",
      "-227329599656153180979484223"
    ],
    [
      "-61853306622986926082/97969",
      "-587312155001062629035100952007/30664297"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1109 (Dujella - Peral (2016)). Isogenous to curve#2110, curve#2112 (also ours).",
  "created_at": "2026-09-26 06:58:17",
  "updated_at": "2026-09-26 06:58:17"
}