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

• Label: 257754.f
• Number of curves: $1$
• Conductor: $257754$
• CM: no
• Rank: $0$

Elliptic curves in class 257754.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257754.f1	257754f1	\([1, 1, 0, -355953, -24810565419]\)	\(-293680278649/15657353478144\)	\(-265917649851279239675904\)	\([]\)	\(33488640\)	\(3.1737\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257754.f1 has rank \(0\).

Complex multiplication

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

Modular form 257754.2.a.f