Elliptic curve isogeny class with LMFDB label 17640.cr (Cremona label 17640cu)

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

Elliptic curves in class 17640.cr

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17640.cr1	17640cu1	\([0, 0, 0, -181692, 30709476]\)	\(-30211716096/1071875\)	\(-23534223602400000\)	\([]\)	\(161280\)	\(1.9137\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 17640.cr1 has rank \(1\).

Complex multiplication

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

Modular form 17640.2.a.cr