Elliptic curve isogeny class with Cremona label 51600cm (LMFDB label 51600.j)

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

Elliptic curves in class 51600cm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51600.j1	51600cm1	\([0, -1, 0, 667, 6537]\)	\(327680/387\)	\(-38700000000\)	\([]\)	\(37440\)	\(0.71785\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51600cm1 has rank \(2\).

Complex multiplication

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

Modular form 51600.2.a.cm