Elliptic curve isogeny class with LMFDB label 177600.s (Cremona label 177600he)

• Label: 177600.s
• Number of curves: $1$
• Conductor: $177600$
• CM: no
• Rank: $1$

Elliptic curves in class 177600.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
177600.s1	177600he1	\([0, -1, 0, -32583, -2826963]\)	\(-153027765760/50602347\)	\(-1265058675000000\)	\([]\)	\(783360\)	\(1.6101\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 177600.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 177600.s do not have complex multiplication.

Modular form 177600.2.a.s