Elliptic curve isogeny class with LMFDB label 10584.bk (Cremona label 10584s)

• Label: 10584.bk
• Number of curves: $1$
• Conductor: $10584$
• CM: no
• Rank: $1$

Elliptic curves in class 10584.bk

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10584.bk1	10584s1	\([0, 0, 0, -588, -6860]\)	\(-3072\)	\(-7318708992\)	\([]\)	\(7920\)	\(0.60536\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10584.bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 10584.bk do not have complex multiplication.

Modular form 10584.2.a.bk