Elliptic curve isogeny class with Cremona label 8640bt (LMFDB label 8640.q)

• Label: 8640bt
• Number of curves: $1$
• Conductor: $8640$
• CM: no
• Rank: $1$

Elliptic curves in class 8640bt

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8640.q1	8640bt1	\([0, 0, 0, 432, -2592]\)	\(27648/25\)	\(-8062156800\)	\([]\)	\(4608\)	\(0.58822\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8640bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8640bt do not have complex multiplication.

Modular form 8640.2.a.bt