{
  "id": 1284,
  "curve_key": "31646977600:-5585496847424000",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-659312033",
    "6464915195937"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 72.53372545951781,
  "faltings_height": 3.899404475963257,
  "conductor": "84852484800",
  "bad_primes": [
    "2",
    "3",
    "5",
    "37",
    "41",
    "43",
    "271"
  ],
  "discriminant": "287997767069369241600000000",
  "regulator": "339.378433108586693597770647583077096858234667336",
  "points": [
    [
      "20512",
      "1253375"
    ],
    [
      "-9569",
      "3449288"
    ],
    [
      "18921",
      "873792"
    ],
    [
      "-11863",
      "3552000"
    ],
    [
      "-5352407/289",
      "17246440000/4913"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:25:29",
  "updated_at": "2026-09-24 17:25:29"
}