{
  "id": 1714,
  "curve_key": "824712288193:-944727005543663681",
  "ainvs": [
    "1",
    "1",
    "1",
    "-17181506004",
    "1093426875233220"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4
  ],
  "naive_height": 82.77934479529422,
  "faltings_height": 4.906149322327457,
  "conductor": "113934342807363",
  "bad_primes": [
    "3",
    "13",
    "17",
    "23",
    "43",
    "53",
    "59",
    "181",
    "307"
  ],
  "discriminant": "-191887011977705025297786539009343",
  "regulator": "9591.8201478108244705974971285843265162514228393158",
  "points": [
    [
      "64664926/49",
      "517326646376/343"
    ],
    [
      "5970129/64",
      "8879916507/512"
    ],
    [
      "22675/4",
      "252479857/8"
    ],
    [
      "-373097/4",
      "347663023/8"
    ],
    [
      "16119910/361",
      "139617606056/6859"
    ],
    [
      "-110340",
      "40624484"
    ]
  ],
  "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 06:14:38",
  "updated_at": "2026-09-25 06:14:38"
}