Elliptic curve isogeny class with Cremona label 257725f (LMFDB label 257725.f)

• Label: 257725f
• Number of curves: $1$
• Conductor: $257725$
• CM: no
• Rank: $1$

Elliptic curves in class 257725f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257725.f1	257725f1	\([1, 1, 1, -8538, 317156]\)	\(-912673/61\)	\(-4600552328125\)	\([]\)	\(505440\)	\(1.1817\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257725f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 257725f do not have complex multiplication.

Modular form 257725.2.a.f