Elliptic curve isogeny class with Cremona label 27584k (LMFDB label 27584.g)

• Label: 27584k
• Number of curves: $1$
• Conductor: $27584$
• CM: no
• Rank: $2$

Elliptic curves in class 27584k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27584.g1	27584k1	\([0, -1, 0, -81, 337]\)	\(-3631696/431\)	\(-7061504\)	\([]\)	\(3584\)	\(0.049828\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27584k1 has rank \(2\).

Complex multiplication

The elliptic curves in class 27584k do not have complex multiplication.

Modular form 27584.2.a.k