Elliptic curve isogeny class with LMFDB label 8001.f (Cremona label 8001e)

• Label: 8001.f
• Number of curves: $1$
• Conductor: $8001$
• CM: no
• Rank: $1$

Elliptic curves in class 8001.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8001.f1	8001e1	\([0, 0, 1, 15, 63]\)	\(512000/2667\)	\(-1944243\)	\([]\)	\(1152\)	\(-0.11115\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8001.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8001.f do not have complex multiplication.

Modular form 8001.2.a.f