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

• Label: 47040k
• Number of curves: $1$
• Conductor: $47040$
• CM: no
• Rank: $2$

Elliptic curves in class 47040k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
47040.k1	47040k1	\([0, -1, 0, 159, 225]\)	\(68782/45\)	\(-289013760\)	\([]\)	\(15360\)	\(0.31234\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 47040k1 has rank \(2\).

Complex multiplication

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

Modular form 47040.2.a.k