{
  "id": 4048,
  "curve_key": "57098509888:-13055179653900800",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-1189552289",
    "15110558153889"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "naive_height": 74.30413157020637,
  "faltings_height": 4.124333686997,
  "conductor": "467503056192",
  "bad_primes": [
    "2",
    "3",
    "17",
    "47",
    "89",
    "97",
    "353"
  ],
  "discriminant": "9095555819753370641852596224",
  "regulator": "1058.0911966346140893840100881902484094145281369521",
  "points": [
    [
      "253889",
      "126801504"
    ],
    [
      "11809",
      "1646144"
    ],
    [
      "173369/25",
      "335287872/125"
    ],
    [
      "-36335",
      "3218848"
    ],
    [
      "375557/4",
      "216306045/8"
    ],
    [
      "-5392",
      "4622535"
    ]
  ],
  "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": "2026-10-07 22:24:14",
  "updated_at": "2026-10-07 22:24:14"
}