{
  "id": 2658,
  "curve_key": "125328:44349120",
  "ainvs": [
    "0",
    "0",
    "0",
    "-2611",
    "-51330"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "naive_height": 35.21606873882106,
  "faltings_height": 0.6782448445817976,
  "conductor": "7832",
  "bad_primes": [
    "2",
    "11",
    "89"
  ],
  "discriminant": "981443584",
  "regulator": "14.0835976124364326123417213853811849101584",
  "points": [
    [
      "-269/9",
      "-80/27"
    ],
    [
      "259",
      "-4080"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1431 via the rational 2-torsion point x=15. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny.",
  "created_at": "2026-09-26 20:16:07",
  "updated_at": "2026-09-26 20:16:07"
}