Elliptic curve isogeny class with LMFDB label 10584.y (Cremona label 10584w)

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

Elliptic curves in class 10584.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10584.y1	10584w1	\([0, 0, 0, -5292, -111132]\)	\(27648/7\)	\(4149707998464\)	\([]\)	\(13824\)	\(1.1309\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10584.y1 has rank \(1\).

Complex multiplication

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

Modular form 10584.2.a.y