Elliptic curve isogeny class with Cremona label 1728c (LMFDB label 1728.v)

• Label: 1728c
• Number of curves: $1$
• Conductor: $1728$
• CM: no
• Rank: $1$

Elliptic curves in class 1728c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1728.v1	1728c1	\([0, 0, 0, 6, 2]\)	\(1536\)	\(-15552\)	\([]\)	\(96\)	\(-0.50680\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1728c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1728c do not have complex multiplication.

Modular form 1728.2.a.c