Elliptic curve isogeny class with LMFDB label 10584.r (Cremona label 10584p)

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

Elliptic curves in class 10584.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10584.r1	10584p1	\([0, 0, 0, 4557, 335454]\)	\(3217428/16807\)	\(-54669129790464\)	\([]\)	\(23040\)	\(1.3182\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10584.r1 has rank \(1\).

Complex multiplication

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

Modular form 10584.2.a.r