Elliptic curve isogeny class with LMFDB label 1728.e (Cremona label 1728ba)

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

Elliptic curves in class 1728.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1728.e1	1728ba1	\([0, 0, 0, -6, 6]\)	\(-13824\)	\(-1728\)	\([]\)	\(96\)	\(-0.62918\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1728.e1 has rank \(1\).

Complex multiplication

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

Modular form 1728.2.a.e