{
  "id": 2110,
  "curve_key": "31514927100195026652263015879953:-176918993624467988693247819900120536741561098489",
  "ainvs": [
    "1",
    "0",
    "0",
    "-656560981254063055255479497499",
    "204767353732023080348214316675440461049811665"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    4
  ],
  "naive_height": 217.58404229881728,
  "faltings_height": 15.445411472113934,
  "conductor": "1286799043897115641009631514",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "17",
    "29",
    "31",
    "41",
    "47",
    "53",
    "61",
    "113",
    "193",
    "281",
    "599",
    "613"
  ],
  "discriminant": "39522052277875084255186712830884656242049760657371013091318565551411679515901952",
  "regulator": "103884004.383278508761412488973949128598248526783244151",
  "points": [
    [
      "511865491073310",
      "-1675833871326014067855"
    ],
    [
      "472743136705710",
      "-184833454152855918975"
    ],
    [
      "11783375997748206/25",
      "-16490483435686025316819/125"
    ],
    [
      "469848887834910",
      "-76138634819120284815"
    ],
    [
      "780430833555810",
      "12950123612387898869445"
    ],
    [
      "159377629979776494/289",
      "15850604824714164445196289/4913"
    ],
    [
      "8780483341634654334/18769",
      "8929925155875350566473/2571353"
    ],
    [
      "11695488413386734/25",
      "-7085064282526192083/125"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1109 (Dujella - Peral (2016)). Isogenous to curve#2111, curve#2112 (also ours).",
  "created_at": "2026-09-26 06:58:14",
  "updated_at": "2026-09-26 06:58:14"
}