Elliptic curve isogeny class with LMFDB label 10584.f (Cremona label 10584bb)

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

Elliptic curves in class 10584.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10584.f1	10584bb1	\([0, 0, 0, -37044, 1815156]\)	\(3072\)	\(1830021227322624\)	\([]\)	\(64512\)	\(1.6318\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10584.f1 has rank \(1\).

Complex multiplication

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

Modular form 10584.2.a.f