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

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

Elliptic curves in class 1728x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1728.r1	1728x1	\([0, 0, 0, -12, 272]\)	\(-6\)	\(-31850496\)	\([]\)	\(384\)	\(0.11906\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1728x1 has rank \(1\).

Complex multiplication

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

Modular form 1728.2.a.x