Elliptic curve isogeny class with LMFDB label 1728.k (Cremona label 1728y)

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

Elliptic curves in class 1728.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1728.k1	1728y1	\([0, 0, 0, -108, 1296]\)	\(-216\)	\(-644972544\)	\([]\)	\(576\)	\(0.37510\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1728.k1 has rank \(1\).

Complex multiplication

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

Modular form 1728.2.a.k