{
  "id": 985,
  "curve_key": "64:296",
  "ainvs": [
    "0",
    "1",
    "1",
    "-1",
    "-1"
  ],
  "rank_lower_bound": 1,
  "torsion": [],
  "naive_height": 12.476649250079015,
  "faltings_height": -0.9163631954263032,
  "conductor": "101",
  "bad_primes": [
    "101"
  ],
  "discriminant": "101",
  "regulator": "0.1647034529491493510642464267692255331119",
  "points": [
    [
      "-1",
      "0"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 101a1 = LMFDB 101.a1: https://www.lmfdb.org/EllipticCurve/Q/101/a/1\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 101, minimal discriminant 101, trivial torsion. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-23 15:11:07",
  "updated_at": "2026-09-23 15:11:07"
}