{
  "id": 2976,
  "curve_key": "96:-18144",
  "ainvs": [
    "0",
    "0",
    "0",
    "-2",
    "21"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    4
  ],
  "naive_height": 19.612190413054957,
  "faltings_height": -0.30782785694941245,
  "conductor": "760",
  "bad_primes": [
    "2",
    "5",
    "19"
  ],
  "discriminant": "-190000",
  "regulator": "1.722468392870600859639291785876983511059",
  "points": [
    [
      "6",
      "15"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 760e1 = LMFDB 760.c4: https://www.lmfdb.org/EllipticCurve/Q/760/c/4\n\nMordell–Weil rank exactly 1 (Cremona's tables). Conductor 760, minimal discriminant -190000, torsion ℤ/4ℤ. The witness is the generator from Cremona's tables.",
  "created_at": "2026-09-26 20:31:24",
  "updated_at": "2026-09-26 20:31:24"
}