{
  "id": 2068,
  "curve_key": "735997921:-19070404229969",
  "ainvs": [
    "1",
    "1",
    "1",
    "-15333290",
    "22065838247"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 61.2502135558827,
  "faltings_height": 3.038443567645062,
  "conductor": "308490",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "113"
  ],
  "discriminant": "20257268493733779690000",
  "regulator": "21.3754015138646139883394520396656392863133",
  "points": [
    [
      "6339/4",
      "-340963/8"
    ],
    [
      "306273/289",
      "408672623/4913"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1181 (David Renshaw), curve#2637 (Natanael Wildner Fraga).",
  "created_at": "2026-09-26 05:13:08",
  "updated_at": "2026-09-26 05:13:08"
}