Elliptic curve isogeny class with Cremona label 17640w (LMFDB label 17640.bh)

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

Elliptic curves in class 17640w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17640.bh1	17640w1	\([0, 0, 0, -53508, 4773188]\)	\(-2249728/5\)	\(-37654757763840\)	\([]\)	\(80640\)	\(1.4877\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 17640w1 has rank \(1\).

Complex multiplication

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

Modular form 17640.2.a.w