Elliptic curve isogeny class with LMFDB label 177744.g (Cremona label 177744bo)

• Label: 177744.g
• Number of curves: $1$
• Conductor: $177744$
• CM: no
• Rank: $1$

Elliptic curves in class 177744.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
177744.g1	177744bo1	\([0, -1, 0, -15632, -2366016]\)	\(-194975262337/1008189504\)	\(-2184528886235136\)	\([]\)	\(884736\)	\(1.6276\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 177744.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177744.g do not have complex multiplication.

Modular form 177744.2.a.g