Elliptic curve isogeny class with Cremona label 27584z (LMFDB label 27584.t)

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

Elliptic curves in class 27584z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27584.t1	27584z1	\([0, 1, 0, -1, 511]\)	\(-1/431\)	\(-112984064\)	\([]\)	\(5120\)	\(0.22411\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27584z1 has rank \(1\).

Complex multiplication

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

Modular form 27584.2.a.z