{
  "id": 3022,
  "curve_key": "7249:-599257",
  "ainvs": [
    "1",
    "0",
    "0",
    "-151",
    "681"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 26.66585642190263,
  "faltings_height": 0.1356140781411884,
  "conductor": "1610",
  "bad_primes": [
    "2",
    "5",
    "7",
    "23"
  ],
  "discriminant": "12622400",
  "regulator": "1.318170961872121870666610795605057875197",
  "points": [
    [
      "8",
      "-3"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1610d1 = LMFDB 1610.c3: https://www.lmfdb.org/EllipticCurve/Q/1610/c/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 1610, minimal discriminant 12622400, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:33:40",
  "updated_at": "2026-09-26 20:33:40"
}