Elliptic curve isogeny class with LMFDB label 8048.e (Cremona label 8048k)

• Label: 8048.e
• Number of curves: $1$
• Conductor: $8048$
• CM: no
• Rank: $1$

Elliptic curves in class 8048.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8048.e1	8048k1	\([0, -1, 0, -504, 4528]\)	\(-3463512697/503\)	\(-2060288\)	\([]\)	\(1408\)	\(0.22642\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8048.e1 has rank \(1\).

Complex multiplication

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

Modular form 8048.2.a.e