Elliptic curve isogeny class with Cremona label 51600cn (LMFDB label 51600.i)

• Label: 51600cn
• Number of curves: $1$
• Conductor: $51600$
• CM: no
• Rank: $2$

Elliptic curves in class 51600cn

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51600.i1	51600cn1	\([0, -1, 0, -5094208, 4427206912]\)	\(-9137635610327905/1128492\)	\(-1805587200000000\)	\([]\)	\(783360\)	\(2.3461\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51600cn1 has rank \(2\).

Complex multiplication

The elliptic curves in class 51600cn do not have complex multiplication.

Modular form 51600.2.a.cn