{
  "id": 1684,
  "curve_key": "601364272336:-465960883377588416",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-12528422340",
    "539310754124100"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4,
    2
  ],
  "naive_height": 81.36740009474086,
  "faltings_height": 4.546919130189418,
  "conductor": "6234348120",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "43",
    "71"
  ],
  "discriminant": "206725725871834397618950560000",
  "regulator": "39.18302811459079632071885994926347000964409477",
  "points": [
    [
      "107457",
      "20828808"
    ],
    [
      "1191785/16",
      "281716435/64"
    ],
    [
      "-108715",
      "24827990"
    ],
    [
      "4118845/36",
      "5306617745/216"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 04:48:34",
  "updated_at": "2026-09-25 04:48:34"
}