{
  "id": 1637,
  "curve_key": "870648105965466431248:-26976344317126448814965043683776",
  "ainvs": [
    "0",
    "1",
    "0",
    "-18138502207613883984",
    "31222620731368703911078987380"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    8
  ],
  "naive_height": 144.7450262707823,
  "faltings_height": 9.998591034934053,
  "conductor": "438112332979152",
  "bad_primes": [
    "2",
    "3",
    "13",
    "17",
    "19",
    "149",
    "349",
    "41801"
  ],
  "discriminant": "-39205672407546683917856560518625892259940395824943151024128",
  "regulator": "11234.22154168765777849401691889165277206617179",
  "points": [
    [
      "-1362212283364/289",
      "538111978608270846/4913"
    ],
    [
      "895471741893/196",
      "573734215177552143/2744"
    ],
    [
      "953044640876566/471969",
      "17247197205536762843236/324242703"
    ],
    [
      "3701868900348878/1038361",
      "115275490782136945492908/1058089859"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/8. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:05:19",
  "updated_at": "2026-09-25 02:05:19"
}