Elliptic curve isogeny class with LMFDB label 5586.r (Cremona label 5586o)

• Label: 5586.r
• Number of curves: $1$
• Conductor: $5586$
• CM: no
• Rank: $1$

Elliptic curves in class 5586.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5586.r1	5586o1	\([1, 0, 1, 807, 2104]\)	\(10100279/6156\)	\(-35488114956\)	\([]\)	\(6720\)	\(0.71357\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5586.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5586.r do not have complex multiplication.

Modular form 5586.2.a.r