{
  "id": 1279,
  "curve_key": "2545251856:-124022203757504",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-53026080",
    "143561892672"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 64.9724863294583,
  "faltings_height": 3.335504408367897,
  "conductor": "40027043760",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "31",
    "41",
    "79",
    "151"
  ],
  "discriminant": "640865692865981975040000",
  "regulator": "100.568021316465048195357597357622935352586278996",
  "points": [
    [
      "314",
      "356290"
    ],
    [
      "13349",
      "1346950"
    ],
    [
      "195474",
      "86364450"
    ],
    [
      "114621/4",
      "37653375/8"
    ],
    [
      "834896/289",
      "591116680/4913"
    ]
  ],
  "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 17:24:38",
  "updated_at": "2026-09-24 17:24:38"
}