{
  "id": 1655,
  "curve_key": "378318297915304801:-232814422976341139484397201",
  "ainvs": [
    "1",
    "0",
    "0",
    "-7881631206568850",
    "269461137047295940522500"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 121.42456780032202,
  "faltings_height": 7.868479539718697,
  "conductor": "1105763581495830",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "37",
    "43",
    "798863999"
  ],
  "discriminant": "-32320362261132738484994596912254690095923200000",
  "regulator": "1522.42164025866631688577121936415544474032092715",
  "points": [
    [
      "-100490690",
      "216148942000"
    ],
    [
      "72455740",
      "280627882750"
    ],
    [
      "5955259300/121",
      "36897787542650/1331"
    ],
    [
      "-154427025/4",
      "5747934193725/8"
    ],
    [
      "118761910852/2401",
      "2943797854544254/117649"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:29:27",
  "updated_at": "2026-09-25 02:29:27"
}