{
  "id": 1524,
  "curve_key": "-614639:-15724311641",
  "ainvs": [
    "1",
    "1",
    "1",
    "12805",
    "18204770"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    4
  ],
  "naive_height": 46.9569477275152,
  "faltings_height": 1.9709832322197756,
  "conductor": "344955",
  "bad_primes": [
    "3",
    "5",
    "13",
    "29",
    "61"
  ],
  "discriminant": "-143221166424194625",
  "regulator": "7.6674077727667290324342568004056689372024671",
  "points": [
    [
      "-2187/16",
      "243157/64"
    ],
    [
      "-232",
      "1793"
    ],
    [
      "988",
      "31073"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:49:40",
  "updated_at": "2026-09-25 00:49:40"
}