{
  "id": 4242,
  "curve_key": "838334224096:-4518417059477153920",
  "ainvs": [
    "0",
    "1",
    "0",
    "-17465296335",
    "5229643552629409"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 85.90938679663903,
  "faltings_height": 5.216428328560583,
  "conductor": "7623567598977423232",
  "bad_primes": [
    "2",
    "17",
    "47",
    "89",
    "257",
    "769",
    "2801"
  ],
  "discriminant": "-11473905005735170697065393673644288",
  "regulator": "400018.05740465824960085853111125030275048877361551766655",
  "points": [
    [
      "956720",
      "-929634103"
    ],
    [
      "-181056",
      "-49564367"
    ],
    [
      "-577819/4",
      "-550679401/8"
    ],
    [
      "291801",
      "158049226"
    ],
    [
      "37934440",
      "-233640381603"
    ],
    [
      "53145",
      "66719978"
    ],
    [
      "22809961/81",
      "109696824154/729"
    ],
    [
      "1947192",
      "-2711846971"
    ],
    [
      "929481/16",
      "4250626739/64"
    ]
  ],
  "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 18:11:07",
  "updated_at": "2026-10-15 18:11:07"
}