{
  "id": 1428,
  "curve_key": "-29999:-6739001",
  "ainvs": [
    "1",
    "1",
    "1",
    "625",
    "8060"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4
  ],
  "naive_height": 31.446844504636623,
  "faltings_height": 0.7234968996402377,
  "conductor": "5115",
  "bad_primes": [
    "3",
    "5",
    "11",
    "31"
  ],
  "discriminant": "-41904765375",
  "regulator": "2.41387029471406442048046099839829321682500",
  "points": [
    [
      "-13/4",
      "629/8"
    ],
    [
      "268",
      "4283"
    ]
  ],
  "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 23:38:19",
  "updated_at": "2026-09-24 23:38:19"
}