Elliptic curve isogeny class with Cremona label 1600y (LMFDB label 1600.b)

• Label: 1600y
• Number of curves: $1$
• Conductor: $1600$
• CM: no
• Rank: $1$

Elliptic curves in class 1600y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1600.b1	1600y1	\([0, 0, 0, 500, 10000]\)	\(270\)	\(-51200000000\)	\([]\)	\(1920\)	\(0.73777\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1600y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1600y do not have complex multiplication.

Modular form 1600.2.a.y