Elliptic curve isogeny class with LMFDB label 17640.cf (Cremona label 17640y)

• Label: 17640.cf
• Number of curves: $1$
• Conductor: $17640$
• CM: no
• Rank: $1$

Elliptic curves in class 17640.cf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17640.cf1	17640y1	\([0, 0, 0, -105987, -15448034]\)	\(-15298178/3125\)	\(-26896255545600000\)	\([]\)	\(120960\)	\(1.8748\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 17640.cf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17640.cf do not have complex multiplication.

Modular form 17640.2.a.cf