Elliptic curve isogeny class with LMFDB label 258570.fc (Cremona label 258570fc)

• Label: 258570.fc
• Number of curves: $1$
• Conductor: $258570$
• CM: no
• Rank: $1$

Elliptic curves in class 258570.fc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
258570.fc1	258570fc1	\([1, -1, 1, -617, -13399]\)	\(-210525601/522240\)	\(-64340490240\)	\([]\)	\(185856\)	\(0.76189\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 258570.fc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 258570.fc do not have complex multiplication.

Modular form 258570.2.a.fc