Elliptic curve isogeny class with Cremona label 27584bc (LMFDB label 27584.b)

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

Elliptic curves in class 27584bc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27584.b1	27584bc1	\([0, 0, 0, -4492, -115952]\)	\(-38238692409/27584\)	\(-7230980096\)	\([]\)	\(36864\)	\(0.82682\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27584bc1 has rank \(1\).

Complex multiplication

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

Modular form 27584.2.a.bc