Elliptic curve isogeny class with LMFDB label 189618.z (Cremona label 189618n)

• Label: 189618.z
• Number of curves: $1$
• Conductor: $189618$
• CM: no
• Rank: $2$

Elliptic curves in class 189618.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
189618.z1	189618n1	\([1, 1, 1, 4306, -21013]\)	\(309147739823/186772608\)	\(-5334412457088\)	\([]\)	\(387072\)	\(1.1313\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 189618.z1 has rank \(2\).

Complex multiplication

The elliptic curves in class 189618.z do not have complex multiplication.

Modular form 189618.2.a.z