Elliptic curve isogeny class with LMFDB label 174570.e (Cremona label 174570ct)

• Label: 174570.e
• Number of curves: $1$
• Conductor: $174570$
• CM: no
• Rank: $0$

Elliptic curves in class 174570.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
174570.e1	174570ct1	\([1, 1, 0, -744661408, 7821123721798]\)	\(-308484422503771629884761/213468750\)	\(-31601036179968750\)	\([]\)	\(42577920\)	\(3.3796\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 174570.e1 has rank \(0\).

Complex multiplication

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

Modular form 174570.2.a.e