Elliptic curve isogeny class with LMFDB label 164561.b (Cremona label 164561b)

• Label: 164561.b
• Number of curves: $1$
• Conductor: $164561$
• CM: no
• Rank: $1$

Elliptic curves in class 164561.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
164561.b1	164561b1	\([1, 0, 1, -1888, -48101]\)	\(-117649/89\)	\(-562601311361\)	\([]\)	\(158508\)	\(0.95372\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 164561.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 164561.b do not have complex multiplication.

Modular form 164561.2.a.b