Elliptic curve isogeny class with LMFDB label 257754.z (Cremona label 257754z)

• Label: 257754.z
• Number of curves: $1$
• Conductor: $257754$
• CM: no
• Rank: $1$

Elliptic curves in class 257754.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257754.z1	257754z1	\([1, 0, 1, -409382, 101069696]\)	\(-161282338400737/528911208\)	\(-24883093751134248\)	\([]\)	\(2903040\)	\(2.0116\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257754.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 257754.z do not have complex multiplication.

Modular form 257754.2.a.z