{
  "id": 1431,
  "curve_key": "9168:440640",
  "ainvs": [
    "0",
    "0",
    "0",
    "-191",
    "-510"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4
  ],
  "naive_height": 27.370423316863562,
  "faltings_height": 0.33167125430182487,
  "conductor": "7832",
  "bad_primes": [
    "2",
    "11",
    "89"
  ],
  "discriminant": "333580544",
  "regulator": "3.52089940310910815308543034634529622753959",
  "points": [
    [
      "-3",
      "6"
    ],
    [
      "17",
      "34"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 23:41:18",
  "updated_at": "2026-09-24 23:41:18"
}