{
  "id": 1429,
  "curve_key": "4113:-1028889",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-86",
    "1212"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4
  ],
  "naive_height": 27.687980274554995,
  "faltings_height": 0.36319310926533227,
  "conductor": "6867",
  "bad_primes": [
    "3",
    "7",
    "109"
  ],
  "discriminant": "-572357583",
  "regulator": "2.36382840710066653316567366613245420760109",
  "points": [
    [
      "-6",
      "41"
    ],
    [
      "-10",
      "-27"
    ]
  ],
  "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 23:39:18",
  "updated_at": "2026-09-24 23:39:18"
}