Elliptic curve isogeny class with LMFDB label 86640.p (Cremona label 86640bx)

• Label: 86640.p
• Number of curves: $1$
• Conductor: $86640$
• CM: no
• Rank: $1$

Elliptic curves in class 86640.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
86640.p1	86640bx1	\([0, -1, 0, -75759941, 172257564141]\)	\(1914902401024/597871125\)	\(15014246322180193878528000\)	\([]\)	\(16087680\)	\(3.5352\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 86640.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 86640.p do not have complex multiplication.

Modular form 86640.2.a.p