Elliptic curve isogeny class with LMFDB label 563.a (Cremona label 563a)

• Label: 563.a
• Number of curves: $1$
• Conductor: $563$
• CM: no
• Rank: $2$

Elliptic curves in class 563.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
563.a1	563a1	\([1, 1, 1, -15, 16]\)	\(-374805361/563\)	\(-563\)	\([]\)	\(52\)	\(-0.57168\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 563.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 563.a do not have complex multiplication.

Modular form 563.2.a.a