Elliptic curve isogeny class with LMFDB label 6240.o (Cremona label 6240i)

• Label: 6240.o
• Number of curves: $1$
• Conductor: $6240$
• CM: no
• Rank: $1$

Elliptic curves in class 6240.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6240.o1	6240i1	\([0, -1, 0, 4675, -27723]\)	\(2758136205824/1668346875\)	\(-6833548800000\)	\([]\)	\(9600\)	\(1.1520\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 6240.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6240.o do not have complex multiplication.

Modular form 6240.2.a.o