{
  "id": 1352,
  "curve_key": "115310512576:-37785424345809920",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-2402302345",
    "43733930797321"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 76.41268330775836,
  "faltings_height": 4.290024497993764,
  "conductor": "77883686473803072",
  "bad_primes": [
    "2",
    "3",
    "17",
    "47",
    "89",
    "257",
    "457",
    "2857"
  ],
  "discriminant": "61047215063393982165598113792",
  "regulator": "35440.6385547988360079809244718875222981502188270457983",
  "points": [
    [
      "-301",
      "6667608"
    ],
    [
      "102499",
      "-29569392"
    ],
    [
      "174069",
      "69998792"
    ],
    [
      "7416205",
      "20195894736"
    ],
    [
      "38239",
      "-2790108"
    ],
    [
      "-54785",
      "-3302964"
    ],
    [
      "41333",
      "3879672"
    ],
    [
      "-2527181/49",
      "-1892441088/343"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:37:08",
  "updated_at": "2026-09-24 17:37:08"
}