{
  "id": 2834,
  "curve_key": "2152993:1160507215",
  "ainvs": [
    "1",
    "1",
    "1",
    "-44854",
    "-1361869"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 43.74710857519178,
  "faltings_height": 1.705075912477437,
  "conductor": "17958",
  "bad_primes": [
    "2",
    "3",
    "41",
    "73"
  ],
  "discriminant": "4996042382905344",
  "regulator": "7.69237226097868054487336784384267725716504",
  "points": [
    [
      "261",
      "2059"
    ],
    [
      "-63",
      "1135"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Cremona 17958j2 = LMFDB 17958.i4: https://www.lmfdb.org/EllipticCurve/Q/17958/i/4\n\nMordell–Weil rank exactly 2 (Cremona's tables). Conductor 17958, minimal discriminant 4996042382905344, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables.",
  "created_at": "2026-09-26 20:24:33",
  "updated_at": "2026-09-26 20:24:33"
}