Elliptic curve isogeny class with LMFDB label 177870.x (Cremona label 177870ir)

• Label: 177870.x
• Number of curves: $1$
• Conductor: $177870$
• CM: no
• Rank: $1$

Elliptic curves in class 177870.x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
177870.x1	177870ir1	\([1, 1, 0, -38238, 2325492]\)	\(588693721/115200\)	\(1210013011468800\)	\([]\)	\(912384\)	\(1.6108\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 177870.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177870.x do not have complex multiplication.

Modular form 177870.2.a.x