{
  "id": 1004,
  "curve_key": "24961:3612959",
  "ainvs": [
    "1",
    "0",
    "0",
    "-520",
    "-4225"
  ],
  "rank_lower_bound": 0,
  "torsion": [
    4,
    2
  ],
  "naive_height": 30.37520965735015,
  "faltings_height": 0.49626988723468857,
  "conductor": "195",
  "bad_primes": [
    "3",
    "5",
    "13"
  ],
  "discriminant": "1445900625",
  "regulator": "1",
  "points": [],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 195a3 = LMFDB 195.a4: https://www.lmfdb.org/EllipticCurve/Q/195/a/4\n\nMordell–Weil rank exactly 0 (Cremona's tables). Conductor 195, minimal discriminant 1445900625, torsion ℤ/2ℤ × ℤ/4ℤ.",
  "created_at": "2026-09-23 15:13:18",
  "updated_at": "2026-09-23 15:13:18"
}