Elliptic curve isogeny class with LMFDB label 8664.l (Cremona label 8664f)

• Label: 8664.l
• Number of curves: $1$
• Conductor: $8664$
• CM: no
• Rank: $1$

Elliptic curves in class 8664.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8664.l1	8664f1	\([0, 1, 0, 19735, -756549]\)	\(70575104/61731\)	\(-743472455682816\)	\([]\)	\(34560\)	\(1.5410\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8664.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8664.l do not have complex multiplication.

Modular form 8664.2.a.l