{
  "id": 1559,
  "curve_key": "1243315395008769:-49281601147836927067521",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-25902404062683",
    "57038896693004866443"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    7
  ],
  "naive_height": 104.50367552479405,
  "faltings_height": 6.686020419688256,
  "conductor": "6514079774",
  "bad_primes": [
    "2",
    "47",
    "79",
    "877199"
  ],
  "discriminant": "-293239601560074434533783454833010114822144",
  "regulator": "1457.3040270361510159173406980710817606520708",
  "points": [
    [
      "1267105219/361",
      "20977907588542/6859"
    ],
    [
      "24182866741/17161",
      "10858385295328788/2248091"
    ],
    [
      "26968889291/196",
      "4425715958236315/2744"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/7. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:05:39",
  "updated_at": "2026-09-25 01:05:39"
}