Elliptic curve isogeny class with Cremona label 257400u (LMFDB label 257400.u)

• Label: 257400u
• Number of curves: $1$
• Conductor: $257400$
• CM: no
• Rank: $1$

Elliptic curves in class 257400u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257400.u1	257400u1	\([0, 0, 0, -5295, -174665]\)	\(-56303330560/12613887\)	\(-3678209449200\)	\([]\)	\(442368\)	\(1.1313\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257400u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 257400u do not have complex multiplication.

Modular form 257400.2.a.u