Elliptic curve isogeny class with Cremona label 8048f (LMFDB label 8048.b)

• Label: 8048f
• Number of curves: $1$
• Conductor: $8048$
• CM: no
• Rank: $2$

Elliptic curves in class 8048f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8048.b1	8048f1	\([0, -1, 0, 80, -64]\)	\(13651919/8048\)	\(-32964608\)	\([]\)	\(2304\)	\(0.13195\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8048f1 has rank \(2\).

Complex multiplication

The elliptic curves in class 8048f do not have complex multiplication.

Modular form 8048.2.a.f