{
  "id": 2966,
  "curve_key": "2313361:-2715207641",
  "ainvs": [
    "1",
    "1",
    "1",
    "-48195",
    "3122520"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 43.96263601019262,
  "faltings_height": 1.678736165080325,
  "conductor": "262605",
  "bad_primes": [
    "3",
    "5",
    "7",
    "41",
    "61"
  ],
  "discriminant": "2898102247700625",
  "regulator": "9.30821061243579413428147233035497958507094",
  "points": [
    [
      "9",
      "1635"
    ],
    [
      "-116",
      "2735"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 262605c2 = LMFDB 262605.c3: https://www.lmfdb.org/EllipticCurve/Q/262605/c/3\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 262605, minimal discriminant 2898102247700625, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:30:46",
  "updated_at": "2026-09-26 20:30:46"
}