Elliptic curve isogeny class with LMFDB label 189618.bm (Cremona label 189618e)

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

Elliptic curves in class 189618.bm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
189618.bm1	189618e1	\([1, 0, 0, -52699, 4965713]\)	\(-95773342660124233/7719031406592\)	\(-1304516307714048\)	\([]\)	\(1451520\)	\(1.6468\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 189618.bm1 has rank \(2\).

Complex multiplication

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

Modular form 189618.2.a.bm