{
  "id": 2556,
  "curve_key": "9961:954251",
  "ainvs": [
    "1",
    "0",
    "1",
    "-208",
    "-1122"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2
  ],
  "naive_height": 27.619298241435498,
  "faltings_height": 0.23044940247766357,
  "conductor": "130",
  "bad_primes": [
    "2",
    "5",
    "13"
  ],
  "discriminant": "44994560",
  "regulator": "3.511392460784166693348902400975568919284",
  "points": [
    [
      "-37/4",
      "-9/8"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "3-isogenous to S-1174; original source https://elliptic-rank.icarm.cloud/curve/1174. Rational 3-torsion kernel with x=4; independent point witnesses transported by explicit Vélu map.",
  "created_at": "2026-09-26 20:08:58",
  "updated_at": "2026-09-26 20:08:58"
}