{
  "id": 3123,
  "curve_key": "1776:-72576",
  "ainvs": [
    "0",
    "0",
    "0",
    "-37",
    "84"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    2,
    2
  ],
  "naive_height": 22.446356770656347,
  "faltings_height": -0.21399788090276597,
  "conductor": "1760",
  "bad_primes": [
    "2",
    "5",
    "11"
  ],
  "discriminant": "193600",
  "regulator": "1.877513852280767269307002649567009849479",
  "points": [
    [
      "-5",
      "12"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 1760f1 = LMFDB 1760.h3: https://www.lmfdb.org/EllipticCurve/Q/1760/h/3\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 1760, minimal discriminant 193600, torsion ℤ/2ℤ × ℤ/2ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:38:22",
  "updated_at": "2026-09-26 20:38:22"
}