{
  "id": 1290,
  "curve_key": "1507213825:-206396158305025",
  "ainvs": [
    "1",
    "0",
    "0",
    "-31400288",
    "238881825792"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    3
  ],
  "naive_height": 65.92163707299896,
  "faltings_height": 3.5486615323525967,
  "conductor": "172725190950",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "17",
    "487",
    "823"
  ],
  "discriminant": "-22670975863542047109120000",
  "regulator": "73.8892373357692399263690325632872614814876879579",
  "points": [
    [
      "-7808",
      "93664"
    ],
    [
      "21568",
      "-3108320"
    ],
    [
      "-4952",
      "-519968"
    ],
    [
      "-6278",
      "437404"
    ],
    [
      "4096",
      "421024"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:26:31",
  "updated_at": "2026-09-24 17:26:31"
}