{
  "id": 1585,
  "curve_key": "54313:-12607829",
  "ainvs": [
    "1",
    "1",
    "0",
    "-1131",
    "14121"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "naive_height": 32.70755666384779,
  "faltings_height": 0.5517715761025799,
  "conductor": "6399618",
  "bad_primes": [
    "2",
    "3",
    "19",
    "73",
    "769"
  ],
  "discriminant": "729556452",
  "regulator": "10.11562630605171395069759579567351842903853690",
  "points": [
    [
      "24",
      "27"
    ],
    [
      "56",
      "333"
    ],
    [
      "-20",
      "181"
    ],
    [
      "-39",
      "48"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:22:40",
  "updated_at": "2026-09-25 01:22:40"
}