Elliptic curve isogeny class with LMFDB label 47040.dx (Cremona label 47040cr)

• Label: 47040.dx
• Number of curves: $1$
• Conductor: $47040$
• CM: no
• Rank: $1$

Elliptic curves in class 47040.dx

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
47040.dx1	47040cr1	\([0, 1, 0, -3201, -4911201]\)	\(-392/1125\)	\(-10413167579136000\)	\([]\)	\(354816\)	\(1.7524\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 47040.dx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 47040.dx do not have complex multiplication.

Modular form 47040.2.a.dx