Elliptic curve isogeny class with LMFDB label 1728.x (Cremona label 1728q)

• Label: 1728.x
• Number of curves: $1$
• Conductor: $1728$
• CM: no
• Rank: $0$

Elliptic curves in class 1728.x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1728.x1	1728q1	\([0, 0, 0, -54, 162]\)	\(-13824\)	\(-1259712\)	\([]\)	\(288\)	\(-0.079872\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1728.x1 has rank \(0\).

Complex multiplication

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

Modular form 1728.2.a.x