LMFDB 39.a4 (Cremona 39a4): https://www.lmfdb.org/EllipticCurve/Q/39/a/4
Mordell–Weil rank exactly 0 per LMFDB. Conductor 39, minimal discriminant -39, torsion ℤ/2ℤ.
Submitted as one of the ten smallest rank-0 curves in LMFDB (as of 2026-09-23; places in LMFDB sort order, ties broken by label): #8 by Faltings height.
David Renshaw ·