Elliptic curve isogeny class with Cremona label 51600cg (LMFDB label 51600.r)

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

Elliptic curves in class 51600cg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51600.r1	51600cg1	\([0, -1, 0, 1096392, -428627088]\)	\(56935209711531575/63898719879168\)	\(-163580722890670080000\)	\([]\)	\(1457280\)	\(2.5651\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51600cg1 has rank \(1\).

Complex multiplication

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

Modular form 51600.2.a.cg