Elliptic curve isogeny class with LMFDB label 17600.q (Cremona label 17600cn)

• Label: 17600.q
• Number of curves: $1$
• Conductor: $17600$
• CM: no
• Rank: $1$

Elliptic curves in class 17600.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17600.q1	17600cn1	\([0, 1, 0, -13153, 576543]\)	\(-38401771585/22528\)	\(-147639500800\)	\([]\)	\(25344\)	\(1.0882\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 17600.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17600.q do not have complex multiplication.

Modular form 17600.2.a.q