Elliptic curve isogeny class with LMFDB label 1089.k (Cremona label 1089i)

• Label: 1089.k
• Number of curves: $1$
• Conductor: $1089$
• CM: no
• Rank: $1$

Elliptic curves in class 1089.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1089.k1	1089i1	\([0, 0, 1, 3993, 18301]\)	\(45056/27\)	\(-4219225854723\)	\([]\)	\(3168\)	\(1.1118\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1089.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1089.k do not have complex multiplication.

Modular form 1089.2.a.k