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

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

Elliptic curves in class 257754.u

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257754.u1	257754u1	\([1, 0, 1, -6693670, 6748142480]\)	\(-1952934620143033/28327324536\)	\(-481098902040022073976\)	\([]\)	\(17729280\)	\(2.7731\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257754.u1 has rank \(1\).

Complex multiplication

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

Modular form 257754.2.a.u