Elliptic curve isogeny class with LMFDB label 6864.b (Cremona label 6864e)

• Label: 6864.b
• Number of curves: $1$
• Conductor: $6864$
• CM: no
• Rank: $2$

Elliptic curves in class 6864.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6864.b1	6864e1	\([0, -1, 0, 168, 144]\)	\(254527054/155727\)	\(-318928896\)	\([]\)	\(3456\)	\(0.32089\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 6864.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 6864.b do not have complex multiplication.

Modular form 6864.2.a.b