Elliptic curve isogeny class with LMFDB label 25270.f (Cremona label 25270e)

• Label: 25270.f
• Number of curves: $1$
• Conductor: $25270$
• CM: no
• Rank: $1$

Elliptic curves in class 25270.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
25270.f1	25270e1	\([1, -1, 0, 6250, 28660]\)	\(573856191/340480\)	\(-16018181562880\)	\([]\)	\(51840\)	\(1.2231\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 25270.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25270.f do not have complex multiplication.

Modular form 25270.2.a.f