{
  "id": 4249,
  "curve_key": "33597475212736:-160301446879443960320",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-699947400265",
    "185534315352193561"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 93.43641611278882,
  "faltings_height": 5.7888601316922825,
  "conductor": "351824891684388520040832",
  "bad_primes": [
    "2",
    "3",
    "7",
    "73",
    "137",
    "257",
    "263",
    "337",
    "401",
    "673",
    "2129"
  ],
  "discriminant": "7076360890860375532399305678840471552",
  "regulator": "4868464.209315494553085860874768226247862341089478224481983",
  "points": [
    [
      "651589",
      "-78101532"
    ],
    [
      "2669893",
      "-4165167132"
    ],
    [
      "-7114223/9",
      "-13361659244/27"
    ],
    [
      "-875936",
      "-355764843"
    ],
    [
      "-866291/25",
      "57247684452/125"
    ],
    [
      "-910631",
      "-260360532"
    ],
    [
      "37221",
      "399415996"
    ],
    [
      "-632043",
      "-612734260"
    ],
    [
      "267609",
      "131858732"
    ],
    [
      "211399",
      "216825768"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-15 18:12:19",
  "updated_at": "2026-10-15 18:12:19"
}