Elliptic curve isogeny class with Cremona label 27584y (LMFDB label 27584.w)

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

Elliptic curves in class 27584y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27584.w1	27584y1	\([0, 1, 0, -25, -89]\)	\(-438976/431\)	\(-1765376\)	\([]\)	\(3072\)	\(-0.10542\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27584y1 has rank \(1\).

Complex multiplication

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

Modular form 27584.2.a.y