Elliptic curve isogeny class with LMFDB label 174570.r (Cremona label 174570ck)

• Label: 174570.r
• Number of curves: $1$
• Conductor: $174570$
• CM: no
• Rank: $1$

Elliptic curves in class 174570.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
174570.r1	174570ck1	\([1, 1, 0, -6119747, -18404628141]\)	\(-14072579252207/73076891250\)	\(-131622637166379716898750\)	\([]\)	\(19783680\)	\(3.1204\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 174570.r1 has rank \(1\).

Complex multiplication

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

Modular form 174570.2.a.r