Elliptic curve isogeny class with Cremona label 174570cf (LMFDB label 174570.n)

• Label: 174570cf
• Number of curves: $1$
• Conductor: $174570$
• CM: no
• Rank: $2$

Elliptic curves in class 174570cf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
174570.n1	174570cf1	\([1, 1, 0, -137, 6129]\)	\(-543717769/30937500\)	\(-16365937500\)	\([]\)	\(215040\)	\(0.63974\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 174570cf1 has rank \(2\).

Complex multiplication

The elliptic curves in class 174570cf do not have complex multiplication.

Modular form 174570.2.a.cf