Elliptic curve isogeny class with LMFDB label 10584.bi (Cremona label 10584r)

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

Elliptic curves in class 10584.bi

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10584.bi1	10584r1	\([0, 0, 0, -4116, -67228]\)	\(3072\)	\(2510317184256\)	\([]\)	\(21504\)	\(1.0825\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10584.bi1 has rank \(1\).

Complex multiplication

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

Modular form 10584.2.a.bi