{
  "id": 1083,
  "curve_key": "1216:-40960",
  "ainvs": [
    "0",
    "1",
    "0",
    "-25",
    "39"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2
  ],
  "naive_height": 21.309966187578336,
  "faltings_height": -0.3032136010130914,
  "conductor": "1088",
  "bad_primes": [
    "2",
    "17"
  ],
  "discriminant": "69632",
  "regulator": "0.531665631644888496256262446826464461629107",
  "points": [
    [
      "2",
      "1"
    ],
    [
      "1",
      "4"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "This is LMFDB curve 1088.a2; together with the 2-isogenous 1088.a1 it is has the smallest conductor for torsion Z/2Z.",
  "created_at": "2026-09-23 16:30:47",
  "updated_at": "2026-09-23 16:30:47"
}