{
  "id": 2112,
  "curve_key": "30091572210383615668036742272273:-193623028485285725128091426561582860153309020409",
  "ainvs": [
    "1",
    "0",
    "0",
    "-626907754382991993084098797339",
    "224100727413525092581867026604351108909948625"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    4
  ],
  "naive_height": 217.76448460257663,
  "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": "-5927011997469733478084159438489975197194794437471806589185498445051084862234765925763826688",
  "regulator": "103884004.383278508761412488973949128598248526783244151",
  "points": [
    [
      "65200302688250",
      "13546339832410634138525"
    ],
    [
      "4000915521078705650/11449",
      "8460745176281196532031794495/1225043"
    ],
    [
      "379245961407350",
      "6394879919991954032585"
    ],
    [
      "10598218585197566/25",
      "734454603742419861811021/125"
    ],
    [
      "-27584220480260773216/75625",
      "-418135151232821809061703578627/20796875"
    ],
    [
      "-6728212053326945326/113569",
      "-618354255977683313423504866327/38272753"
    ],
    [
      "-926113083062074",
      "3220946140893815688353"
    ],
    [
      "5422927137125150",
      "395351257878063233872145"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1109 (Dujella - Peral (2016)). Isogenous to curve#2110, curve#2111 (also ours).",
  "created_at": "2026-09-26 06:58:19",
  "updated_at": "2026-09-26 06:58:19"
}