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

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

Elliptic curves in class 47040.em

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
47040.em1	47040fr1	\([0, 1, 0, -112961, 14746815]\)	\(-105484561/1440\)	\(-2176139510415360\)	\([]\)	\(322560\)	\(1.7499\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 47040.em1 has rank \(1\).

Complex multiplication

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

Modular form 47040.2.a.em