{
  "id": 2842,
  "curve_key": "-975:-23625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "20",
    "22"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    4
  ],
  "naive_height": 20.647312412993543,
  "faltings_height": -0.17409370431765403,
  "conductor": "275",
  "bad_primes": [
    "5",
    "11"
  ],
  "discriminant": "-859375",
  "regulator": "2.384490492426557628481549642854394937146",
  "points": [
    [
      "8",
      "21"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 275a1 = LMFDB 275.a4: https://www.lmfdb.org/EllipticCurve/Q/275/a/4\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 275, minimal discriminant -859375, torsion ℤ/4ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:24:52",
  "updated_at": "2026-09-26 20:24:52"
}