Elliptic curve isogeny class with LMFDB label 6699.e (Cremona label 6699e)

• Label: 6699.e
• Number of curves: $1$
• Conductor: $6699$
• CM: no
• Rank: $1$

Elliptic curves in class 6699.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6699.e1	6699e1	\([1, 1, 0, -2376, -45633]\)	\(-1484391946907017/1946200179\)	\(-1946200179\)	\([]\)	\(6000\)	\(0.68926\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 6699.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6699.e do not have complex multiplication.

Modular form 6699.2.a.e