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

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

Elliptic curves in class 189618z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
189618.r1	189618z1	\([1, 0, 1, -5581, 162242]\)	\(-672937149625/10996722\)	\(-314077377042\)	\([]\)	\(288000\)	\(1.0061\)	\(\Gamma_0(N)\)-optimal

Rank

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

Complex multiplication

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

Modular form 189618.2.a.z