Elliptic curve isogeny class with LMFDB label 15600.by (Cremona label 15600cf)

• Label: 15600.by
• Number of curves: $1$
• Conductor: $15600$
• CM: no
• Rank: $1$

Elliptic curves in class 15600.by

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
15600.by1	15600cf1	\([0, 1, 0, -133, 5363]\)	\(-4096/195\)	\(-12480000000\)	\([]\)	\(11520\)	\(0.61728\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 15600.by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15600.by do not have complex multiplication.

Modular form 15600.2.a.by